What is the equation of the line that passes through the point (16,-7) and has a slope of m=-3/4 written in point-slope form?
Answers
Answer:
y+7=-3/4(x-16)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3/4(x-16)
y+7=-3/4(x-16)
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Related Questions
Find the missing term and the missing coefficient.
(6a −_)5a =_a2 − 35a
Answers
Answer:
[tex](6a-7)5a=30a^2-35a[/tex]
Step-by-step explanation:
Message if you want a detailed explanation.
Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).
Answers
y = -2x-3
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is
The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.
To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:
8x - 2y = 4
-2y = -8x + 4
Divide both sides by -2:
y = 4x - 2
The slope of the given line is 4.
The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.
Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Substituting the values, we have:
y - 3 = (-1/4)(x - 4)
Expanding and simplifying, we get:
y - 3 = (-1/4)x + 1
Adding 3 to both sides, we have:
y = (-1/4)x + 4
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Michael has a project due in exactly 83 hours. It is currently 8:30 on a Monday morning. What time is his project due
Answers
Answer: it wll be thursday at 7:30PM
solve
(a) 32x + 1 = 92x - 1
Answers
Answer:
30 is your answer
Step-by-step explanation:
32x + 1 = 92x - 1
+1+1=92x-32x
2=60x
x=60÷2
x=30
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
A
B
C
D
On a coordinate plane, a graph titled Pizza Recipe has Pizzas on the x-axis and Cups of Pizza Sauce on the y-axis. Point A is (3, 2), point B is (4, 2.6), point C is (4.5, 3), point D is (6, 4).
Answers
Answer:
The question is incomplete, but after a small search I've found that the complete question is something like:
To celebrate something, a teacher will make pizzas for the class.
There are 30 students in his class and each pizza serves 8
Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?
In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.
The notation for a point in that graph is (x, y)
Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.
So, for example, the point (3, 2) means that:
for x = 3 pizzas, you need y = 2 cups of pizza sauce.
So, now let's find the number of pizzas that will feed the whole class.
There are 30 students, Each pizza serves for 8.
Then the number of pizzas needed is:
30/8 = 3.75 pizzas.
But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.
Then we could use point B, which is (4, 2.6)
This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.
So Julio should bring 2.6 cups of pizza sauce.
Which point should Julio use to determine the amount of pizza sauce he needs to bring?
(B 4,26)
How to find interquartilte range
Answers
============================================================
Explanation:
Each x represents a data point location.
So, for example, having an x over 60 means 60 is part of the set.
The set of values we're working with is
{59,60,61,63,63,64,66,68,70,71,71,73}
The repeated values are due to the fact we have a stack of two 'x' markers, and they occur at 63 and 71.
To find the IQR (interquartile range), we'll first need to find the median of this set. That's the middle most value.
Count out the number of values to find that there are n = 12 values.
The list splits into two halves that are n/2 = 12/2 = 6 items each
Between slots 6 and 7 is where the median is located.
The value in slot 6 is 64 and the value in slot 7 is 66. Average those two items to get (64+66)/2 = 65
The median is 65
---------------------------------
Next, we'll form two groups L and U such that
L = set of items lower than the median
U = set of items larger than the median
Because n is even, we simply just break the original set into two equal groups (6 items each)
L = {59,60,61,63,63,64}
U = {66,68,70,71,71,73}
The values of Q1 and Q3 represent the medians of L and U in that order.
The median of set L is (61+63)/2 = 62, so Q1 = 62
The median of set U is (70+71)/2 = 70.5, which is Q3
-----------------------------------
To summarize everything so far, we have found
Q1 = 62Q3 = 70.5Subtract those items to get the IQR
IQR = Q3 - Q1
IQR = 70.5 - 62
IQR = 8.5 which points us to choice C as the final answer.
if sinA=4/5 and cosB=12/13 find the value of:
Sin2A
Answers
Answer:
24/25
I hope this will help you.
Mike, the barista at Moose Jaw Coffee, has to mix together two kinds of coffee beans - Mocha Madness, which costs $12 a pound, and Sumatra Sweetness, which costs $20 a pound - to produce forty pounds of a coffee that costs $14 a pound. The beans in the mixture sell for the same price as they would separately. How many pounds of Mocha Madness coffee will Mike put into the mixture
Answers
Answer:
mocha madness = 30 pounds
Step-by-step explanation:
Let
x = Mocha Madness
y = Sumatra Sweetness
two equations can be derived from the question
x + y = 40 equation 1
12x + 20y = 14 x 40 equation 2
Multiply equation 1 by 12
12x + 12y = 480 eqn 3
subtract eqn 2 from 3
8y = 80
y = 10
substitute for y in equation 1
x + 10 = 40
x = 40 - 10
x = 30
8y = 180
y = 10 pounds
x = 30 pounds
If mn, solve for x.
(3x + 9) (x + 21)
Answers
2
3x. + 63x + 9x + 189
Step-by-step explanation:
Use distributive law, in other words multiply the first bracket terms by the second bracket terms
tìm kiếm x y z
x-1/y =1
y-1/z =1
z-1/x =1
Answers
y - 1/z = 1 ==> y = 1 + 1/z
z - 1/x = 1 ==> z = 1 + 1/x
==> y = 1 + 1/(1 + 1/x) = 1 + x/(x + 1) = (2x + 1)/(x + 1)
x - 1/y = x - (x + 1)/(2x + 1) = (2x ² - 1)/(2x + 1) = 1
==> 2x ² - 1 = 2x + 1
==> 2x ² - 2x - 2 = 0
==> x ² - x - 1 = 0
==> x = (1 ± √5)/2
If you start solving for z, then for x, then for y, you would get the same equation as above (with y in place of x), and the same thing happens if you solve for x, then y, then z. So it turns out that x = y = z.
1. When decimal currency came to Australia in 1966 (that's exactly
50 years ago!), there were 6 coins -- 1 cent, 2 cent, 5 cent,
10 cent, 20 cent and 50 cent coins. What is the SMALLEST
number of these coins you would need to make 89 cents?
Answers
Doing this, we get that the smallest number of coins is: 6
89 cents:
89 is more than 50 cents, but less than 50*2 = 100, so 1 50 cent coin is needed, which leaves 89 - 50 = 39 cents remaining.39 is more than 20 cents, but less than 20*2 = 40, so 1 20 cent coin is needed, which leaves 39 - 20 = 19 cents remaining.19 is more than 10 cents, but less than 10*2 = 20, so 1 10 cent coin is needed, which leaves 19 - 10 = 9 cents remaining.9 is more than 5 cents, but less than 5*2 = 10, so 1 5 cent coin is needed, which leaves 9 - 5 = 4 cents remaining.The remaining 4 cents are achieved with 2 2 cent coins.Thus, the smallest amount of coins needed is 1 + 1 + 1 + 1 + 2 = 6.
A similar question can be found at https://brainly.com/question/21776594
The least-squares regression method is: Multiple Choice A graphical method to identify cost behavior. An algebraic method to identify cost behavior. A statistical method to identify cost behavior. The only identify cost estimation method allowed by GAAP. A cost estimation method that only uses the two extreme values.
Answers
Answer:
A statistical method to identify cost behavior.
Step-by-step explanation:
Costing is the measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.
In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
Hence, the least-squares regression method is a statistical method that is typically used for identifying cost behavior.
Generally, the sum of the residuals of a least squares regression line is always equal to zero.
In trying to determine whether air pollution causes reduction in children's lung health a researcher proposes to see if the lung volume of 10-year-old boys who live in high ozone pollution is significantly less than the lung volume of all 10-year-old boys. The mean volume for all 10-year-old boys is 2.05 liters. A random sample of 26 10-year-old boys who live in a community with high levels of ozone pollution is found to have a mean volume of 1.98 liters, with a sample standard deviation of 0.3 liters. Test the researcher's claim that the mean lung volume of 10 -year-old boys who live in a community with high levels of ozone pollution is less than 2.05 at the 5% significance level.
Answers
Answer:
The test statistic will be "-2.33". A further explanation is provided below.
Step-by-step explanation:
According to the question,
[tex]H_0: \mu = 2.05[/tex]
[tex]H_0: \mu < 2.05[/tex]
Given:
[tex]\bar x = 1.98[/tex]
[tex]s = 0.3[/tex]
[tex]n = 100[/tex]
The test statistics will be:
⇒ [tex]t_0 = \frac{\bar x - \mu_0}{\frac{s}{\sqrt{n} } }[/tex]
[tex]=\frac{1.98-2.05}{\frac{0.3}{\sqrt{100} } }[/tex]
[tex]=-2.33[/tex]
and the P-value will be:
= [tex]0.011< \alpha[/tex]
please HELP ME!!! (16 POINTS) due today :)))
Answers
Answer:
Step-by-step explanation:
I'm not sure what the question is asking, but if you mean the angles in the blue lines
First one, we know that the full length is 90, and it has gacen us 80, so the angle would be 10
Second one, we see that the angle is still 90, and since the given degree is 30, the unkown angle would be 60
Third one, the given angle is 75 so 90-75=15.
The answers would be 10, 60, and 15.
4. 170*
5. 330*
6. 285*
Step-by-step explanation:
4. Explanation: 90* is added by the other angle in the right + 80* for the same angle
90* + 80* = 170*
————————————————————
5. Explanation: we are trying to find out the total among every angle measure except for 30.
Total angle measure = 360*
360 - 30 = 330*
—————————————————————
6. Explanation: 360 - 75 = 285*
in a survey of 100 people, 60 like farming and 65 like civil service. find the number of people who likes farming as well as civil service. also find out how many people like only civil war
Answers
Let
A=set of people like farmingB=set of people like civil service A[tex]\cup[/tex] B =Total peopleA[tex]\cap[/tex]B=People like bothWe know
[tex]\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=60+65-100[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=125-100[/tex]
[tex]\\ \sf\longmapsto n(A\cap B)=25[/tex]
what is the answer?
A. 41°
B. 98°
C. 123°
D. 139°
Answers
Answer:
139
Step-by-step explanation:
Supplementary angles add to 180 degrees
BOC + 41 = 180
BOC = 180-41
BOC = 139
A rectangular field is to be fenced off, and then divided in two by a fence running parallel to one of the sides. If 996 meters of fencing can be used, find the dimensions of the field that will maximize the total area, and then find the maximum area. List the smaller dimension first.
Answers
Solution :
Maximize, S = xy
subject to 2x + 2y = 996
So,
2x + 2y = 996
2(x + y) = 996
x + y = 498
y = 498 - x
Therefore,
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
S = [tex]-x^2 + 498x[/tex]
[tex]$S = -(x^2-498x + 249^2) + 300^2$[/tex]
[tex]$S= -(x-249)^2 + 249^2$[/tex]
S = x (498 - x)
S = 498x - [tex]x^2[/tex]
[tex]$\frac{dS}{dx}= 498 - 2x$[/tex]
[tex]$\frac{dS}{dx}= 0$[/tex]
498 - 2x = 0
2x = 498
x = 249
∴ y = 498 - x
y = 498 - 249
= 249
Answer:
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
Step-by-step explanation:
Total length of the fence is 996 m.
Let the length is L and the width is W.
Perimeter = 2 (L + W)
996 = 2 (L + W)
498 = L + W
L = 498 - W ...... (1)
Let the area is
A = L W
A = (498 - W) W
A = 498 W - W^2
Differentiate with respect to W.
dA/dW = 498 - 2 W
Put it equal to zero.
498 - 2 W = 0
W = 249 m
Now, L = 498 - 249 = 249 m
Differentiate with respect to W again
[tex]\frac{d^2A}{dW^2} = - 2[/tex]
As it is negative so the area is maximum.
The maximum area is
A = 249 x 249 = 62001 square meter.
Side is L = 249 m
Find the value of x in Circle O.
Answers
Answer:
x=8
Step-by-step explanation:
x^2+15^2=17^2, x=sqrt(64)=8
I need help to find the missing side of this right triangle
Answers
Answer:
[tex]\sqrt{136}[/tex]
Step-by-step explanation:
Formula for Pythagorean theorem: [tex]a^{2} +b^{2} = c^{2}[/tex]
Plug in:
[tex]6^{2}+10^2=x^2[/tex]
Solve:
36 + 100 = [tex]x^{2}[/tex]
136 = [tex]x^{2}[/tex]
[tex]\sqrt{136}[/tex] = x
The answer is [tex]\sqrt{136}[/tex].
Hope this helped.
Which descriptions can describe more than one triangle? Select two options.
• side lengths of 6 ft, 8ft, and 10 ft
• angle measurements of 350, 350, and 110°
• angle measurements of 30°, 40°, and 50°
• angle measurements of 40°, 60°, and 80°
• side lengths of 4 cm, 6 cm, and 9 cm
Answers
Answer:
angle measurements of 35, 35, and 110°
angle measurements of 40°, 60°, and 80°
Have a nice day! :)
1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm
Answers
Answer:
24.83 hours
Step-by-step explanation:
Given that :
Let time taken by pumps be :
Pump A = 60 hours
Pump B = 80 hours
Pump C = 90 hours
Recall :
Rate = 1 / time taken
The rates of the pumps are :
Pump A rate = 1 / 60
Pump B rate = 1/80
Pump C rate = 1/90
Combined rate : 1/60 + 1/80 + 1/90
Combined rate = (12 + 9 + 8) / 720 = 29/720
Combined rate = 29/720
The time taken together will be :
1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours
Rita offers to pay for 8 of her friends to play laser tag, but 3
of them don't want to play.
If laser tag costs $5 per person, how much will Rita spend on her friends?
Choose the correct expression and solution to this problem,
Answers
Last Option
Rita will spend $25
5(8-3)
Answered by Gauthmath must click thanks and mark brainliest
Answer: The correct answer is D.
Step-by-step explanation:
Since 3 of Rita's 8 friends don't want to play laser tag, Rita only has to pay for 5 of her friends to go.
So, the expression would be:
5 (8 - 3)
= 5 (5)
= $25
Hope this helps! :)
One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus?
Answers
Answer:
8 inches
Step-by-step explanation:
A rhombus is a four sides quadrilateral with the four sides equal in length
A rhombus has 4 equal sides and the diagonal bisect at right angles
Adjacent sides = 9/2 = 4.5
we are to determine the value of the hypotenuse given the adjacent side and angle (108/2) = 54
Cos 54 = adjacent / hypotenuse
0.58778 = 4.5 / hypotenuse
hypotenuse = 4.5 / 0.58778
=7.6559
= 8 inches
please help me with this also if your good at geometry please dm me I need serious help!!
Answers
Answer:
0.92
Step-by-step explanation:
cosine = adjacent/ hypotenuse
cosine of t = 12/ 13
cos t= 0.92308
Choose the inequality that represents the following graph.
Answers
Answer:
D) x ≥ -2
Step-by-step explanation:
what is the point-slope equation of a line with slope-4 that contains the point (-2 7)\
Answers
Answer:
y - 7 = -4 (x + 2)
Step-by-step explanation:
y - 7 = -4 (x + 2)
The ratio of carbon-14 to carbon-12 in a piece of wood discovered in a cave is R = 1/917. Estimate the age of the piece of wood
Answers
Answer:
The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"
Step-by-step explanation:
Let the given value is:
[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]
In the diagram provided, line l is parallel to line m. Select which of the following statements could be used to prove that the interior angles of a triangle have a sum of 180°. You may choose more than one correct answer.
m 4 + m 5 + m 6 = 180.
1 and 4 are alternate interior angles.
m 5 = m 3 + m 2
. m 5 + m 1 = 180.
Answers
Answer:
all except the first
Step-by-step explanation:
do u really want an explanation
Evaluate the powers of 3 to find each value.?
Answers
Answer:
The value of 3^-2 is 1/9
Step-by-step explanation:
This is because negative exponent such as [tex]2^{-1}[/tex] transfer to 1/2. Therefore, you might notice a pattern of negative exponent -> fraction. 3^-2 -> 1/(3^2)-> 1/9
PLEASE MARK BRAINIEST IF THIS HELPED!!!
Answer:
1 /91327Step-by-step explanation:
Concept:
Here, we need to know the idea of exponents.
The exponent of a number says how many times to use the number in a multiplication.
When the exponent is positive, just multiply the base number by the number of times the exponent states.For example: 5² = 5 × 5 = 25When the exponent is negative, turn to the reciprocal of the base number, then multiply the base number by the number of times the exponent states as the denominator.For example: 6⁻² = 1 / 6² = 1 / (6 × 6) = 1/36Any number to the 0th power, it is equal to 1.
Solve:
Question 1. What is the value of 3⁻²?
The exponent ⁻² on 3² is negative3⁻² = 1 / 3² = 1 / (3 × 3) = 1/9Question 2. What is the value of 3⁰?
The exponent of 3⁰ is 03⁰ = 1Question 3. What is the value of 3¹?
The exponent of 3¹ is positive3¹ = 3Question 4. What is the value of 3³?
The exponent of 3³ is positive3³ = 3 × 3 × 3 = 27Hope this helps!! :)
Please let me know if you have any questions
What is the slope of the function? Then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answers
Complete question is;
Alejandra correctly wrote the equation y – 3 = (1/5) (x – 10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
Since the original line is;
y – 3 = (1/5) (x – 10)
This means the slope is 1/5 and the x and y coordinates are (10, 3) respectively.
Now, if she changes the slope to 2 and it still passed through the same point, then it means it's x and y points are still (10, 3). Thus, the equation will now be;
y – 3 = 2(x – 10)
