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earnstyle [38]
3 years ago
11

What is an equation of a line that passes through the point (-3 -7) and it’s parallel to the line 2x-3y=24

Mathematics
1 answer:
andrew-mc [135]3 years ago
6 0

Answer:

y=(-2/3)x-9

Step-by-step explanation:

1) first put the equation in terms of y. You should get y=-(2/3)x-8.

2) parallel lines have the same slope so the slope for this line and the answer should be the same

3) using the form y=mx+b plug (-2/3) in as the slope or m

4) plug the point in to get your b value. you should have -7 =((-2/3)•(-3))+b

5) isolate the variable b and plug in your answer to the equation.

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Sophie drew a scale drawing of a house and its lot. The back patio is 3 centimeters wide in the drawing. The actual patio is 18
wel

Answer: 45?

Step-by-step explanation: Sorry If I'm wrong, I haven't learned this yet but I tried my best.

4 0
3 years ago
When determining if you have a perfect square trinomial, what must the first and third term be?
cricket20 [7]

The expansion of a perfect square is

(a+b)^2 = a^2+2ab+b^2

In words, the square of a sum of two terms is the sum of the squares of the two terms (a^2 and b^2), plus twice the product of the two terms (2ab)

So, when determining if you have a perfect square trinomial, you should have two perfect squares. Note that they don't have to be the first and third term, since you can rearrange terms as you prefer.

8 0
3 years ago
Together, angles A and B form a 90° angle. Angle A measures 54°. What is the measure of angle B?
Hunter-Best [27]

Answer:

36 degrees

Step-by-step explanation:

Subtract 54 from 90

7 0
3 years ago
Read 2 more answers
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
Fantom [35]

Answer:

<h2>If we placed the number 10 in the box, we obtain a system of equations with infinitely many solutions.</h2>

Step-by-step explanation:

The given system is

y=2x-5\\2y-4x=a

<em>It's important to know that a system with infinitely many solutions, it's a system that has the same equation</em>, that is, both equation represent the same line, or as some textbooks say, one line is on the other one, so they have inifinitely common solutions.

Having said that, the first thing we should do here is reorder the system

y=2x-5\\2y=4x+a

This way, you can compare better both equations. If you look closer, observe that the second equation is double, that is, it can be obtained by multiplying a factor of 2 to the first one, that is

y=2x-5\\2y=4x-10

So, by multiplying such factor, we obtaine the second equation. Observe that a must be equal to 10, that way the system would have infinitely solutions.

Therefore, the answer is 10.

4 0
3 years ago
Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

D= 0.3*13

D= 3.9 miles

hence the distance is 3.9miles

6 0
3 years ago
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