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omeli [17]
3 years ago
13

Write the equation of the line in slope intercept form that passes through (10,21) and (15,36)

Mathematics
1 answer:
Tema [17]3 years ago
6 0

Answer:

y = 3x - 9

Step-by-step explanation:

First, find the slope using rise/run (y2 - y1) / (x2 - x1)

Plug in the points:

(36 - 21) / (15 - 10)

15/5

= 3

Next, plug the slope and a point into the equation y = mx + b to find b (y-int)

y = mx + b

21 = 3(10) + b

21 = 30 + b

-9 = b

Then, plug this into the equation, as well as the slope:

y = 3x - 9

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The area of Caitlins square garden is 345 ft.². One side of the garden is next to a shed. She wants to put a fence around the ot
NikAS [45]

Hey there!!

The formula for the area of a square -  s²

where s = side

s² = 345

s = √345

s = 18.57 ft

Fence shall be three sides

So 18.57 × 3

The required answer = 55.71 ft

Hope my answer helps!

3 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
nikitadnepr [17]

Answer:

The answer should be 45

Step-by-step explanation:

To get the whole are you would have to multiply the lenght with the Width and then take that answer and multiply it with the height

<u>BUT</u>

because you want the surface area, it would be just the lenght and width

15x3=45

so 45 is your answer.

7 0
3 years ago
Find the solution of the system of equations.<br> 15x – 4y = -50<br> 3x – 2y = –16
rusak2 [61]

Answer:

x=-2, y=5. (-2, 5).

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

---------------

15x-4y=-50

-5(3x-2y)=-5(-16)

------------------------

15x-4y=-50

-15x+10y=80

-------------------

6y=30

y=30/6

y=5

3x-2(5)=-16

3x-10=-16

3x=-16+10

3x=-6

x=-6/3

x=-2

7 0
3 years ago
What is the measurement of angle 1 plz help me !
Evgen [1.6K]

Answer:

ANGLE 1 = 40°

Step-by-step explanation:

angle 1 = angle 2 ------(alternate interior angles)

2x + 20 = 3x + 10

20 - 10 = 3x - 2x

x = 10.

Angle 1 = 2x + 20 = 2(10) + 20 = 20 + 20 = 40°.

HOPE IT HELPS!!!

6 0
3 years ago
Factor this expression completely. Write the factored expression in the space provided.
Luba_88 [7]

Answer:

Step-by-step explanation:

So let's factor!

Let's see whats this about...

3x^{3} +15x^{2} +18x\\3x(x^{2} +5x+6)\\3x(x-1)(x+6)

So, there you go!

sorry if this did not make sense...

What I did was essentially factor out 3x first, and then factor the second product by grouping.

Hope this Helps!

P.S. Stay Safe!

5 0
3 years ago
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