All categories

3 years ago

Find the slope and the y-intercept of the graph of the linear equation. y=−6−23x

Mathematics

1 answer:

Debora [2.8K]3 years ago

8 0

Answer:

Step-by-step explanation:

this equation is written in y = mx + b form

m = slope

b = the y intercept

so if we rearrange the equation to

y = -23x -6

the slope is -23

the y intercept is (0, -6)

You might be interested in

If 7x7 is 49 what is 77x77?

Zepler [3.9K]

Answer:

5,929

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Cos(a) 63/65 to find sin(a) and tan(a)

Semenov [28]

Answer:

$\huge\boxed{\sin\alpha=-\dfrac{16}{65},\ \tan\alpha=-\dfrac{16}{63}}\\\\or\\\\\huge\boxed{\sin\alpha=\dfrac{16}{65},\ \tan\alpha=\dfrac{16}{63}}$

Step-by-step explanation:

$\cos\alpha=\dfrac{63}{65}\\\\\text{use}\ \sin^2\alpha+\cos^2\alpha=1\\\\\sin^2\alpha+\left(\dfrac{63}{65}\right)^2=1\\\\\sin^2\alpha+\dfrac{3969}{4225}=1\qquad\text{subtract}\ \dfrac{3969}{4225}\ \text{from both sides}\\\\\sin^2\alpha=\dfrac{4225}{4225}-\dfrac{3969}{4225}\\\\\sin^2\alpha=\dfrac{256}{4225}\to\sin\alpha=\pm\sqrt{\dfrac{256}{4225}}\\\\\sin\alpha=\pm\dfrac{\sqrt{256}}{\sqrt{4225}}\\\\\sin\alpha=\pm\dfrac{16}{65}$

$\text{use}\ \tan\alpha=\dfrac{\sin\alpha}{\cos\alpha}\\\\\text{substitute:}\\\\\tan\alpha=\dfrac{\pm\frac{16}{65}}{\frac{63}{65}}=\pm\dfrac{16}{65}\cdot\dfrac{65}{63}=\pm\dfrac{16}{63}$

3 0

3 years ago

Read 2 more answers

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving. If evil bunny has chopped 7 1/2 cups of chopped carr

Oxana [17]

Answer:

12 servings

Step-by-step explanation:

Given:

Evil bunny's carrot soup calls for 5/8 cups of chopped carrots per serving.

If evil bunny has chopped 7 1/2 cups of chopped carrots.

Question asked:

How many servings of carrot soup can he make?

Solution:

<u><em>By unitary method:</em></u>

$\frac{5}{8}$ cups of chopped carrots used for = 1 serving of carrot soup

1 cup of chopped carrots used for = $\frac{1}{\frac{5}{8} }$ = $1\div\frac{5}{8} =1\times\frac{8}{5} =\frac{8}{5}$ servings

$7\frac{1}{2}$ cups of chopped carrots used for = $7\frac{1}{2} \times\frac{8}{5} =\frac{7\times2+1}{2} \times\frac{8}{5} =\frac{15}{2} \times\frac{8}{5}=\frac{120}{10} =12$

Thus, 12 servings of carrot soup could be made.

3 0

3 years ago

5)Write an algebraic equation for each statement, and then SOLVE for x

Andrei [34K]

Answer:

Step-by-step explanation:

1. x+6=14

14-6=8

x=8

2. 15/x=3

15/3=x

x=5

3. 7*x=56

56/7=8

x=8

4. x^2-4=12

x=4, x=-4

5. 1/4x=10

x/4 = 10

x = 40

6. 3x-9=18

x=9

7. 1/2x-10=14

x/2-10=14

x=48

8.x/8=9

8*9=72

x=72

9.2x+3=24

2x=21

x=21/2

10.20*x=140

140/20=7

x=7

8 0

3 years ago

The question is x/-2 + 7 = -12. what is x????

aniked [119]

Answer:

Step-by-step explanation:

5 0

3 years ago