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puteri [66]
3 years ago
14

A line passes through the point , 9,−2 and has a slope of 4/3. Write an equation in point-slope form for this line.

Mathematics
2 answers:
inysia [295]3 years ago
5 0

Answer:

y+2 =  4/3( x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line

y - -2 = 4/3( x-9)

y+2 =  4/3( x-9)

Fynjy0 [20]3 years ago
4 0

Answer:

y + 2 = \frac{4}{3} (x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{4}{3} and (a, b) = (9, - 2) , thus

y - (- 2) = \frac{4}{3} (x - 9) , that is

y + 2 = \frac{4}{3} (x - 9)

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For what values of x will the function f(x) = 3x² + 13x - 10 equal zero?
Oduvanchick [21]

Answer:

x = - 5 , x = \frac{2}{3}

Step-by-step explanation:

the values of x that make f(x) zero are the zeros

to find the zeros let f(x) = 0 , that is

3x² + 13x - 10 = 0

consider the factors of the product of  the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = + 13

the factors are + 15 and - 2

use these factors to split the x- term

3x² + 15x - 2x - 10 = 0 ( factor the first/second and third/fourth terms )

3x(x + 5) - 2(x + 5) = 0 ← factor out (x + 5) from each term

(x + 5)(3x - 2) = 0

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = \frac{2}{3}

4 0
2 years ago
Simplify each expression
Rzqust [24]

Answer:

See below

Step-by-step explanation:

1.

-6(a + 8)

Distribute the -6.

-6a - 48

2.

4(1 + 9x)

Distribute the 4.

4 + 36x or 36x + 4

3.

6(-5n + 7)

Distribute the 6.

-30n + 42

4.

(9m + 10) * 2

Rewrite.

2(9m + 10)

Distribute the 2.

18m + 20

5.

(-4 - 3n) * -8

Rewrite.

-8(-4 - 3n)

Distribute the -8.

32 + 24n or 24n + 32

6.

8(-b - 4)

Distribute the 8.

-8b - 32

7.

(1 - 7n) * 5

Rewrite.

5(1 - 7n)

Distribute the 5.

5 - 35n or -35n + 5

8.

-6(x + 4)

Distribute the -6.

-6x - 24

9.

5(3m - 6)

Distribute the 5.

15m - 30

10.

(-6p + 7) * -4

Rewrite.

-4(-6p + 7)

Distribute the -4.

24p - 28

11.

5(b - 1)

Distribute the 5.

5b - 5

12.

(x + 9) * 5

Rewrite.

5(x + 9)

Distribute the 5.

5x + 45

5 0
3 years ago
What is 4/5 of 20.5?
earnstyle [38]
To find 4/5 of 20.5 the first step is to convert 4/5 into a decimal. You can do that by dividing 4 by 5. 
4/5 is .8 so your equation would now be .8 of 20.5 
"of" states that you are multiplying, so .8 times 20.5 is 16.4
4/5 of 20.5 is 16.4

6 0
3 years ago
Read 2 more answers
34x−5=4 x = <br> im confused
IRINA_888 [86]

Answer:

9/34

Step-by-step explanation:

Let us move all the numerical values to one side:

34x= 4+5

34x = 9

x=9/34

<em>I hope this helps! :)</em>

8 0
3 years ago
There is a multiplication and division fact family with the numbers 2,4 and 8. Write the four fact family members
DanielleElmas [232]

Answer:

8-4=2

2 x 4=8

4 x 2=8

8-2=4

Step-by-step explanation:

6 0
4 years ago
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