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sp2606 [1]
3 years ago
14

1. Solve the system of equations by graphing:

Mathematics
1 answer:
rjkz [21]3 years ago
3 0

Answer:


Step-by-step explanation:

y = -3x - 3


m = -3_______


b = -3________  

y = 2x + 2


m = 2_______


b = _2_______


SOLVE NOW   :  -3x - 3  = 2x + 2


- 5x = 5

x = -1

subst in y : y = 2(-1)+2 = 0

the solution is : ( - 1 , 0 )

y = -3x- 3 an equation for the line 'red'    

y = 2x+2 an equation for the line 'bleus'


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Through: (-5, -3), perp. to y=-9/4x-5
Mrrafil [7]

Given:

A line passes through (-5,-3) and perpendicular to y=-\dfrac{9}{4}x-5.

To find:

The equation of the line.

Solution:

We have,

y=-\dfrac{9}{4}x-5

On comparing this equation with slope intercept form, i.e., y=mx+b, we get

m_2=-\dfrac{9}{4}

It means, slope of this line is -\dfrac{9}{4}.

Product of slopes of two perpendicular lines is always -1.

m_1\times m_2=-1

m_1 \times \left(-\dfrac{9}{4}\right)=-1

m_1=\dfrac{4}{9}

Slope of required line is \dfrac{4}{9} and it passes through the point (-5,-3). So, the equation of the line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-3)=\dfrac{4}{9}(x-(-5))

y+3=\dfrac{4}{9}(x+5)

9(y+3)=4(x+5)

9y+27=4x+20

27-20=4x-9y

7=4x-9y

Therefore, the equation of required line is 4x-9y=7.

8 0
3 years ago
HELP AGAIN :))) PLEASE HELP
Zielflug [23.3K]

Answer:

55

Step-by-step explanation:

This is 55 because you need to make a sum of 180 when making a line and 125+55=180

4 0
3 years ago
Read 2 more answers
Thank you!!<br><br>If you can answer this for me
Tcecarenko [31]
The answer is 12 inches
5 0
3 years ago
Gwen measured a kitchen and made a scale drawing. The scale she used was 11 inches : 5 feet. If a countertop in the kitchen is 2
aliina [53]

Answer:

11x 5 =55-22=33

Step by step explanation

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8 0
3 years ago
Megan has practiced the piano for 7.5 hours over the course of this week. She practices on Tuesdays, Thursdays, and Saturdays. H
gulaghasi [49]

Answer:

150

Step-by-step explanation:

you have three days and 7.5 so decide 7.5 by 3 it equals 2.5 which in minutes is 150

7 0
3 years ago
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