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Phoenix [80]
3 years ago
6

Solve using the substitution method. Show your work! Full credit will only be given if all steps are shown.

Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

One of the ways to solve a system of equation is by using the substitution method

The values of x and y are -9 and 5

<h3>How to use the substitution method </h3>

The equations are given as:

2x + 6y = 12

x + y = -4

Make x the subject in the second equation

x = -4 - y

Substitute x = -4 - y in the first equation

2(-4 - y) + 6y = 12

Expand

-8 - 2y + 6y = 12

Add 8 to both sides

- 2y + 6y = 20

So, we have:

4y =20

Divide through by 4

y = 5

Recall that:

x = -4 - y

So, we have:

x = -4 - 5

x = -9

Hence, the values of x and y are -9 and 5

Read more about the substitution method at:

brainly.com/question/13476446

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Sophie [7]
#1
sin(51^o)= \frac{y}{12} \ \ \to \ \ y=12*sin(51^o)=12* 0.7771 \approx 9.33

#2
\theta=arccos( \frac{5^2+13^2-12^2}{2*5*13}) = arccos( \frac{25+169-144}{130})=arccos( \frac{50 }{130})= \\ \\ arccos(0.3846) \approx67.4^o

#3
tan(13^o)= \frac{x}{24} \ \ \to \ \ x=24*tan(13^o)=24* 0.2309 \approx 5.54

#4
sin(20^o)= \frac{10}{x} \ \ \to \ \ x= \frac{10}{sin(20^o)} = \frac{10}{0.342}  \approx 29.24
5 0
4 years ago
The graph of f passes through left parenthesis negative 4 comma 3 right parenthesis(−4,3) and is perpendicular to the line that
shusha [124]

Answer:

The answer to your question is y = -11/2x - 19

Step-by-step explanation:

Data

Point (-4, 3)

⊥ to the line x- intercept of 22 and y-intercept of -4.

Process

1.- Find the equation of the perpendicular line

This line has passes through the points  (22, 0) and (0, -4)

Slope = \frac{-4 - 0}{0 - 22} = \frac{-4}{-22} = \frac{2}{11}

2.- Find the slope of the new equation

Slope = \frac{-11}{2}    because the lines are perpendicular

3.- Find the equation of the new line

            y - 3 = -11/2 (x + 4)

            y - 3 = -11/2x - 44/2

            y - 3 = -11/2 x - 22

            y = -11/2 x - 22 + 3

            y = -11/2x - 19

See the graph below

4 0
3 years ago
If t&gt;0 and t^2-25=0 what is the value of t?
Karo-lina-s [1.5K]

Answer:

5

Step-by-step explanation:

5 > 0 (True)

Plug in 5 for t in the equation.

t² - 25 = 0

(5)² - 25 = 0

(5 * 5) - 25 = 0

(25) - 25 = 0

0 = 0  (true).

~

7 0
4 years ago
Read 2 more answers
I’m confused on this one
Naddik [55]

Remark

The intersecting chord theorem states that when 2 chords intersect, the product of the parts of one chord = the product of the 2 parts of the other chord.

In this case ML * LE = IL * LS

Givens

ML = x; LE = 12; IL = 9; LS = 4

Substitute and Solve

12x = 9*4

12x = 36 Divide by 12

x = 36/12

x = 3 Answer <<<<<

8 0
3 years ago
What happens to the graph of a periodic function if the amplitude, a, is between 0 and 1
svetoff [14.1K]
When 0 < a < 1, the amplitude of the graph decreases, causing the slopes of the graph to appear more "flat".
5 0
3 years ago
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