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
If f(x) = x2 + 3x and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).
Answer:
(f ∘ g)(x) = x²+7x+10
(g ∘ f)(x) = x²+3x+2
Step-by-step explanation:
(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10
(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2
Make sure to review composite functions
when a number is decreased by 3% the result is 80. what was the original number?
Answer:
82.47
Step-by-step explanation:
.93n = 80
n = 80/.93
n = 82.47
A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 19 feet more than the length of the shortest side. Find the dimensions if the perimeter is 167 feet.
PLS HELP URGENTT
Answer:
Please give Brainliest!
Step-by-step explanation:
The three sides are 36ft, 72ft, and 59 ft.
Can a shape have the perimeter be the same as the area?
Answer:
In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.
Step-by-step explanation:
Answer maybe
Step-by-step explanation:
Find the EXACT distance between the two points.
(4,7) and (−4,9)
ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]
Ok done. Thank to me :>
What is the value of b in centimters?
I estimate about 27 cm
have a nice dayyyy
what is the answer for this question 7(x+4)-7=48-2x
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
Calculate the measure of angle L
==================================================
Explanation:
Lines LM and LP are tangent to the circle at points M and P respectively. The dashed radius lines are perpendicular to those tangents, which means we have 90 degree angles at points M and P.
For any quadrilateral, the four angles always add to 360 degrees.
L+M+O+P = 360
L+90+165+90 = 360
L+345 = 360
L = 360-345
L = 15
Another route you can use is the fact that opposite angles L and O are supplementary
L+O = 180
L+165 = 180
L = 180-165
L = 15
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31
Write 32 as a product of primes. Use index notation when giving your answer.
Answer:
[tex]2^{5}[/tex]
Step-by-step explanation:
32 ÷ 2 = 16
16 ÷ 2 = 8
8 ÷ 2 = 4
4 ÷ 2 = 2
2 ÷ 2 = 1
Then
32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex]
How many solutions does the following equation have? 10x-1=10x+4
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
10x-1=10x+4
10x-10x=4+1
x=5
Determine if the two triangles are congruent. If so, select the appropriate congruence postulate. If not, select the reason why.
Answer:
Asa
Step-by-step explanation:
Because if u look left to right on one triangle there is a angle and in between they have a com on line and on the right theres another angle so There for it’s angle side angle
Using a phone card to make a long distance call costs a flat fee of $0.57 plus $0.31 per minute starting with the first
minute. Find the total cost of a phone call which lasts 27 minutes.
O A. $27.18
OB. $15.7
O C. $8.37
OD. $8.94
Answer:
it's d
Step-by-step explanation:
multiply 0.31 by the amount of minutes used (27) and add the flat fee to it.
0.31×27+(0.57)= 8.94
Can anyone help me on this one??
Find the slope and the y-intercept of the equation below:
1. 4x-3y=12
2. 2y=6x-12
if you can put the step please do so. Tysm.
Answer + Explanation:
1. you want to rearrange the equation ( don't change the actual value ) to put it in the form y = mx + b. in this form, m represents the slope and b represents the y-intercept.
this is how you would do that:
4x - 3y = 12
subtract 4x from both sides
-3y = -4x + 12
divide both sides by -3
y = 4/3x - 4
this means the slope is 4/3 and the y-intercept is -4
2. do the same thing, rearranging into y = mx + b form
2y = 6x - 12
divide both sides by 2
y = 3x - 6
this means the slope is 3 and the y-intercept is -6
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
false
Step-by-step explanation:
A farmer plants wheat in a rectangular plot of land having a length of 7260 feet and a width of
1200 feet. If the farmer makes a profit of $30 per acre, how much profit should he expect to
make from the wheat planted, in dollars?
Answer:
$6000
Step-by-step explanation:
There are 43560 square feet in an acre. The profit is expected to be ...
(7260 ft)(1200 ft) × ($30)/(43560 ft²) = $6000
_____
The area of the plot is 200 acres.
The 3 in 75,341 is ______ the value of the 3 in 293,467
Answer:
3 in 75,341 = the hundreth place. 3 in 293,467 = the thousandth place.
Step-by-step explanation:
Write 6(2x + 4) – 2(x + 7) +5 in the form a(bx+c)
where a, b and c are integers
and a > 1
Answer:
5(x + 3)
Step-by-step explanation:
6(2x + 4) - 2(x + 7) + 5
12x + 24 - 2x - 14 +5
10x + 24 - 9
10x + 15
5(x + 3)
Please help me out
Fill in the blanks for this graph
1. This graph crosses the y-axis at______
2. The graph increases in the interval_____
3. The graph decreases in the interval____
Hannah completed 40 problems in 32 minutes.
Put in a unit ratio
Answer: 1.25 problems/min and in ratio it is 1.25/1
We can keep the rate as problems/min
So, in 32 mins Hannah can complete 40 problems.
32 mins --> 40 problem
1 min --> 40/32
--> 1.25
So, 1.25 problems can be created per minute.
12 in. to 36 in. increase in percent or decrease?
Answer:
33.3333%
Step-by-step explanation:
Answer:
12/36=0.333+
it decrease
If $400 Is The Principle and is paid for 2 years at 4% how much is the compound interest
Answer:
=$32
Step-by-step explanation:
Principal Amount=$400
Rate=4%
Time=2 Years
Interest=?
=RPT/100
=4x400x2/100
=$32
....................................................................
Don't ask ;-;.......
Answer:
I believe the answer is 5
Could some please help and explain?
Answer:
x = 7
Step-by-step explanation:
A rhombus is a parallelogram where all sides are equal. Therefore, as we know two sides are equal to 7x+8 and 9x-6, we can say that
7x+8 = 9x - 6
subtract 7x from both sides to put the variable on one side
2x - 6 = 8
add 6 to both sides to isolate the variable and its coefficient
2x = 14
divide both sides by 2 to isolate x
x = 7
What is the vertex of y = 2(x - 3)^2 - + 67
a) (-3. -6)
b) (3, -6)
C) (-3. 6)
d) (3, 6)
What is 2+2+?+10+?-2+9=?
[tex]2+2+x+10+x-2+9=x\\2+2+x+10+x-2+9 -x=0\\(2+2+10-2+9)+(x+x-x)=0\\21+x=0\\x=-21[/tex]
ANSWER: ? = -21
P/s: ? = x < let ? is x >
ok done. Thank to me :>
Answer:
The answer can be 25 or higher.
Step-by-step explanation:
This is because I added: 10+9=19+2+2+2=25. Then we have 2 ? marks. There are + signs next to them so the answer is 25 or higher.
The side lengths of a triangle are 12, 14, and x units
Answer: x=14
Step-by-step explanation: have a good day
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
Solving Linear Equations with the Distributive Property
BRAINLIEST IF RIGHT!
Answer:
c = $5.50
Step-by-step explanation:
Since Gage has the exact amount of change, we know the total of all 5 sodas and all 5 cheeseburgers, so we can make an equation where:
c = cost of one cheeseburger
s = cost of one soda
Gage is buying soda and cheeseburgers for himself and 4 friends, so that is 5 of each soda and 5 of each cheeseburger, so we multiply the costs by 5 and set it equal to the total amount of all the food and drinks.
5s + 5c = 33.75
We are given the price of soda, however, so we can insert that number into the equation for s.
5(1.25) + 5c = 33.75
Then we can simplify and solve for c.
6.25 + 5c = 33.75
5c = 27.5
Remember, we're solving for the price of one cheeseburger, so we have to divide this number by 5.
c = 5.50
So one cheeseburger costs $5.50.
Hope this helps.
you are going to wash a large glass window in a shape of a trapezoid. The lenghts of the bases of the window are 10 feet and 14 feet. the height is 8 feet. you can wash 6 square feet of the window in 1 minute. how long will it take you to wash the entire window
Answer:
16 minutes
Step-by-step explanation:
First we are going to want to find the area of the window. We then divide that by the amount of area you can wash per minute ( 6 square feet )
So first lets find the area.
We are told that the window is in a shape of a trapezoid.
The area of a trapezoid can be calculated using the formula A = [tex]\frac{a+b}{2} h[/tex]
Where a and b are the base lengths and h is the height
We are told that the length of the bases are 10 ft and 14ft so a and b = 10 and 14. We are also told that the window has a height of 8 so h = 8 .
We then plug these numbers into the formula to find the area
Recall formula: [tex]A=\frac{a+b}{2} h[/tex]
a = 10 , b = 14 and h = 8
plug in these values into formula
[tex]A=\frac{10+14}{2} 8[/tex]
add 10 and 14 to get 24
[tex]A=\frac{24}{2} 8[/tex]
simplify fraction : 24 / 2 = 12
[tex]A=(12)(8)[/tex]
multiply 12 and 8 to get 96.
A = 96 square feet.
To find how long it would take to wash the window we divide the total area of the window by the amount of area that can be washed per minute
Total area of window = 96
Area that can be washed per minute = 6
Time it would take to wash the whole window = 96 / 6 = 16 minutes