Answer:
(0.5,3.5)
Step-by-step explanation:
First, we can draw the image, as shown. The diagonals in the rectangle are the following lines:
from (-2,9) to (3,-2)
from (-5, 6) to (6,1)
To find where they intersect, we can start by making an equation for the lines. For an equation y=mx+b, m represents the slope and b represents the y intercept, or when x=0
For the first line, from (-2,9) to (3,-2), we can calculate the slope by calculating the change in y/change in x = (y₂-y₁)/(x₂-x₁). If (3,-2) is (x₂,y₂) and (-2,9) is (x₁,y₁), our slope is
(-2-9)/(3-(-2)) = -11/5
Therefore, our equation is
y= (-11/5)x + b
To solve for b, we can plug a point in, like (3,-2). Therefore,
-2=(-11/5)*3+b
-2=-33/5+b
-10/5=-33/5+b
add 33/5 to both sides to isolate b
23/5=b
Our equation for one diagonal is therefore y=(-11/5)x+23/5
For the second line, from (-5, 6) to (6,1), if (6,1) is (x₁,y₁) and (-5,6) is (x₂,y₂), the slope is (1-6)/(6-(-5)) = -5/11 . Plugging (6,1) into the equation y=(-5/11)x+b, we have
1=(-5/11)*6+b
11/11 = -30/11 + b
add 30/11 to both sides to isolate b
41/11 = b
our equation is
y = (-5/11) x + 41/11
Our two equations are thus
y = (-5/11) x + 41/11
y=(-11/5)x+23/5
To find where they intersect, we can set them equal to each other
(-11/5)x+23/5 = y = (-5/11) x + 41/11
(-11/5)x + 23/5 = (-5/11)x + 41/11
subtract 23/5 from both sides as well as add 5/11 to both sides to make one side have only x values and their coefficients
(-11/5)x + (5/11)x = 41/11-23/5
11*5 = 55, so 55 is one value we can use to make the denominators equal.
(-11*11/5*11)x+(5*5/11*5)x=(41*5/11*5)-(23*11/5*11)
(-121/55)x+(25/55)x = (205/55) - (253/55)
(-96/55)x = (-48/55)
multiply both sides by 55 to remove the denominators
-96x=-48
divide both sides by -96 to isolate x
x=-48/-96=0.5
plug x=0.5 into a diagonal to see the y value of the intersection
(-11/5)x + 23/5 = y = (-11/5)* 0.5 + 23/5 = 3.5
factorise the expression 6x²y + 15xy²
The difference between one half of a number and one fifth of it is 561. Find the number.
A. 2805
B. 1870
C. 5610
D. None of these answers
9/7 = please answer me
Answer:
[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]
Answer:
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]
Put the numbers into the boxes to represent the sum of the rational expression
given below.
Answer:
[tex]\frac{4x+9}{2x+5}[/tex]
Step-by-step explanation:
Cross multiply.Add like terms.Simplify.what fraction is equivalent to [tex]\frac{1}{6}[/tex]
A bus leaves Islamabad at 11:00 am and reaches Lahore at 3:00 p.m . If the distance bwtween Islamabad to Lahore is 380km , find the speed od the bus.
Answer:
Step-by-step explanation:
Hello!
11h-> 3h
=> 4h
380/4 =>95km/h
Simple geometry problem
Answer:
Step-by-step explanation:
I gather that you need to find the area of the sector and then subtract from it the area of the segment to get the area of the triangle (although there are other ways in which to find the area of the triangle).
The area of a sector is:
[tex]A=\frac{\theta}{360}\pi r^2[/tex] where our angle is given as 34, pi is 3.1415, and the radius is 5:
[tex]A=\frac{34}{360}(3.1415)(25)[/tex] and if you multiply and divide that all out you get that the area of the sector is:
A = 7.417
Now subtract from it the area of the segment, 2.209. to get the area of the triangle:
7.417 - 2.209 = 5.208
you should probably try reading the question first.
the arc measure and radius are given to you. now, it is up to you to use your brain and put two and two together. good luck.
Select the best answer to describe the parabola
Positive parabola that has a minimum.
It’s positive if it opens upward, negative if it opens downward. It has a minimum if it opens upward, and maximum when it opens downward.
Which best describes the relationship between the lines with equations – 7x + 2y = 3 and
-6x + 3y = 2?
The association between the given lines is that they are 'neither perpendicular nor parallel.'
To prove, let's convert the given equations in their slope-intercept form i.e. 'y = mx + b'
-7x + 2y = 3
2y = 7x + 3
y = 7/2x + 3/2
-6x + 3y = 2
3y = 6x + 2
y = 2x + 2/3
This shows that both the lines have different slopes, as well as, intercepts of y. And,
[tex]m_{1} * m_{2}[/tex] = 2 * 7/2 ≠ -1
Thus, it is not perpendicular also.
Therefore, option D i.e. 'neither perpendicular nor parallel' is the correct answer.
Learn more about 'slope' here:
brainly.com/question/10973849
Find the value of x.
Step-by-step explanation:
here's the answer to your question
What is the rule for the nth term for number sequence 2;5;7;12;19
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -37
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex], so the slope is [tex]\frac{y}{x}[/tex], which also equals [tex]-\frac{37}{4}[/tex].
Draw a line through the origin that has a slope of 1/2
Step-by-step explanation:
Slope = rise/run = 1/2
You need to plot these two points = (1,0) and (3,1) and make a line paas through
Answer by Gauthmath
Please answer before 2:30!!!
There are 189 apples in a basket. How many children can share them equally?
List all numbers that apply.
For the equal distribution each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple.
What is equal distribution?
The distribution of a something in a way that each will get same amount.
How 189 can be divided equally?
If the distribution is equally then each child should take, either 1 or 2 or 3 an so on means same amount.
For this we will check that 189 is divisible by which numbers.
Now we can see that 189 is divisible by 1, 3, 7, 9, 21, 27, 63, 189. It is clear that each child can take either 1 or 3 or 7 or 9 or 21 or 27 or 63 or 189 apple then the distribution will be equal means every child will have same amount of apple.
Therefore, the correct answer is 1, 3, 7, 9, 21, 27, 63, 189.
Learn more: https://brainly.ph/question/4734029
#SPJ2
Write the digits used in binary number system
Answer:
Binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2.
Can you help please please helps
Answer:
2nd option
Step-by-step explanation:
Given
- np - 6 ≤ 3(c - 5) ← distribute
- np - 6 ≤ 3c - 15 ( add 6 to both sides )
- np ≤ 3c - 9
Divide both sides by - p , reversing the symbol as a result of dividing by a negative quantity.
n ≥ [tex]\frac{3c-9}{-p}[/tex]
help me with this question math please
Answer:
42.94$ is the answer.....
The length of a rectangle is 7 inches longer than it is wide. If the area is 60 square inches, what are the
dimensions of the rectangle?
Answer: 5 by 12
Step-by-step explanation:
Let's call the dimensions of the rectangle w and w+7
The area is 60, so we can do 60=w(w+7)
60=w^2+7w
w^2+7w-60=0 factor the quadratic equation
(w-5)(w+12)=0
w-5=0, w=5
w+12=0, w=-12
Since the length of a rectangle cannot be negative, w=5
the dimensions of the rectangle are 5 and 12
help help help help
Answer:
abc is a triangle so ,
a is ( 9,6 )
b is ( 9,3 )
and c is ( 3,3 )
The two bases of a trapezoid measure 14 inches and 10 inches respectively. The trapezoid's height is 8 inches. What is the area of the trapezoid?
192 square inches
1120 square inches
140 square inches
96 square inches
Answer:
A = 96 inches ^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the bases and h is the height
A = 1/2( 14+10)*8
A = 1/2(24)*8
A = 12*8
A = 96 inches ^2
The area of trapezoid is given
A = 1/2 (b1+b2)h where b1 and b2 is base and h is height
A = 1/2 (14+10)*8
A = 1/2 (24)*8
A = 12 * 8
A = 96 square inches ....An airplane travels 4020 kilometers against the wind in 6 hours and 4800 kilometers with the wind in the same amount of time. What is the rate of the plane in still air and what is the rate of the wind?
Answer:
Rate of plane 735 km/hr
Rate of wind 65 km/hr
Step-by-step explanation:
Calculation to determine the rate of the plane in still air
Let Va represent the velocity of the airplane
Let Vw represent the velocity of the wind
When flying with the wind:
(Va+Vw)*(6 hours) = 4800
6Va + 6Vw = 4800
6Vw = 4800 - 6Va
Vw=4800/6-Va
Vw = 800 - Va
When flying against the wind:
(Va-Vw)*(6 hours) = 4020 km
6Va - 6Vw = 4020
Substitute 800-Va for Vw and solve for Va:
6Va - 6(800-Va) = 4020
6Va -4800 + 6Va = 4020
12Va = 8820
Va=8820/12
Va = 735 km/hr
Therefore the rate of the plane in still air is 735 km/hr
Calculation to determine the rate of the wind
Rate of wind:
Vw = 800 - Va
Vw= 800 -735
Vw= 65 km/hr
Therefore the rate of the wind is 65 km/hr
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
order the following radicals from the least to greatest without using a calculator. show your reasoning
[tex]2 \sqrt{6} [/tex]
[tex]5 \sqrt{10} [/tex]
[tex]4 \sqrt{2} [/tex]
[tex]3 \sqrt{3} [/tex]
Answer:
2*sqrt6 = 2*apprx2 = 4
5*sqrt10 = 5*3.1 = 15.5
4*sqrt2 = 4*1.4 = 6.4
3*sqrt3 = 3*1.7 = 5.1
4, 5.1, 6.4, 15.5 or... 2sqrt6, 3sqrt3, 4sqrt2, 5sqrt10
15÷7500
what is the answer
Answer:
Answer is 0.002
Step-by-step explanation:
15÷7500 = 0.002
Answer:
ampota ma,pakyu
Step-by-step explanation:
what is the answer dapalon taka karun
please help me
solve (x+3) (x+7)
Step-by-step explanation:
Here, we'll need to multiply these two values together. I'll use the expansion formula, which goes as follows:
[tex](a+b)(c+d)[/tex]
Expand[tex]ac + ad + bc + bd[/tex]
Lets apply this to the following equation:
[tex](x+3) (x+7)[/tex]
Expand.[tex](x*x) + (x * 7) + (3 * x) + (3 * 7)[/tex]
Simplify.[tex](x^2) + (7x) + (3x) + (21)[/tex]
Remove parenthesis and add.[tex]x^2+10x+21[/tex]
Answer:
x^2+10x+21
For the following equation,find y when x = - 3. Then find x when y = 2. Y = 6x + 8
Answer:
When
when x = - 3 then y=. -10
when y = 2 then x =. -1
For num in range (1,10) : if num is %2 = = 0: print (num)
yfd sat fltfurjbhviccyvihkjobkb 47 I have
A factory produces 1, 250, 000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys, N (in millions), being produced in t years?
The question is incomplete, the complete question is;
A factory produces 1,250,000 toys each year. The number of toys is expected to increase by about 150% per year. Which model can be used to find the number of toys being produced, n (in millions), in t years?
A. n= 2.5(1.5)/t, t cannot = 0
B. n= 1.5t^2 + 1.25
C. n= 1.5t + 1.25
D. n= 1.25(2.5^t)
Answer:
D. n= 1.25(2.5^t)
Step-by-step explanation:
This is an exponential growth problem. In mathematics, for an exponential growth problem;
P = Po(1 + r)^t
Where;
P= amount at time t
Po =initial amount
r= rate
t= time
In the context of the question we have;
n= 1.25(1 + 150/100)^t
n= 1.25(2.5)^t
Sara brought a car for 16,586 and paid 1,038 for tax, title, and registration.Which equation shows about how much Sara paid, to the nearest hundred?
Answer:
P+T+t+R=TA
Step-by-step explanation:
this should help
Answer:
17,600
Step-by-step explanation:
16,586 + 1,038 = 17,624 ≈ 17,600
find quotient in exponential forms 9power5
divided by
3 power 6 answer in detail
Answer:
oooooooooooooooooooo
Answer:
[tex]{ \tt{ = \frac{ {9}^{5} }{ {3}^{6} } }} \\ \\ = { \sf{ \frac{( {3}^{2}) {}^{5} }{ {3}^{6} } }} \\ \\ { \sf{ = \frac{ {3}^{10} }{ {3}^{6} } }} \\ \\ = { \tt{ {3}^{(10 - 6)} }} \\ = { \sf{ {3}^{4} }}[/tex]