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2 years ago

Write the equation of a line that is parallel to y = -5/4x+ + 7 and that passes through the point (-4,1).

Mathematics

1 answer:

k0ka [10]2 years ago

5 0

Answer: y- 1 = -5/4(x+4)\\

Step-by-step explanation:

y = mx + b, where m is the slope, and in the equation, the slope is -5/4.

For two-line that are parallel, the slope is the same, -5/4.

$y - y_{1}= m( x - x_{1})\\y- 1 = -5/4(x-(-4))\\y- 1 = -5/4(x+4)\\$

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What is the gcf of 42 and 10

kolbaska11 [484]

Answer:

Step-by-step explanation:

Make a list

10: 1, <u>2, </u>5, 10

42: 1,<u> 2,</u> 3, 6, 7, 14, 21

6 0

3 years ago

Find the slope and y-intercept for the two linear functions. Linear Functions Identify the slope of the line given in the table:

Natalija [7]

ANSWER

See explanation

EXPLANATION

The table contains these two points (-4,-3) and (2,-4.5)

The slope of this line is given by;

$m = \frac{rise}{run}$

$m = \frac{ - 4.5 - - 3}{2 - - 4} = \frac{ - 1.5}{6}$

$m = - \frac{1}{4}$

The y-intercept can be obtained by finding the equation of the line in the form:

$y = mx + c$

We plug in the slope and the point (-4,-3) to find c.

This implies that,

$- 3 = - \frac{1}{4} \times - 4 + c$

$- 3 = 1 + c$

$c = - 3 - 1 = - 4$

Hence the y-intercept is -4.

The given line is

$y = \frac{3}{2} x + 1$

This is already in the slope intercept form:

The slope is

$m = \frac{3}{2}$

The y-intercept is c=1

5 0

2 years ago

Read 2 more answers

Amanda spent a total of 70 minutes competing her chores this week. Write and solve an equation to represent the number of minute

gtnhenbr [62]

Answer:

28 minutes spent in washing the dishes.

Step-by-step explanation:

Given the table

Chore time in minutes

Sweeping 42

Dishes ?

Amanda spent a total of 70 minutes competing her chores this week

Total of 70 minutes spent

42 minutes spent in sweeping . to find the number of minutes Amanda spent in washing the dishes , subtract 42 minutes from the total time spent

let x be the number of minutes spent washing the dishes

$42+x=70$

To solve for x , subtract 42 from both sides

$42+x=70\\x= 70-42\\x=28$

28 minutes spent in washing the dishes.

4 0

3 years ago

13.

Alex787 [66]

Answer: A. c = 3d

I'm gonna go with c = 3d

Step-by-step explanation: c = 3d

After looking at the table I believe the equation would be c=3d. I came to this conclusion because (6)=3(2); (9)=3(3); (15)=3(5); 18=3(6). I really hope this helps!:)

...................................................................................................................................................

Answer:

Step-by-step explanation:

Days Cost

2 6

3 9

5 15

6 18

Now to find equation that models the given data we will use two point slope form.

Formula:

Substitute the values in the formula

where y denotes the number of days and x denotes the cost

Let us suppose d denotes the number of days and c denotes the cost

So, equation becomes:

Hence an equation models the data in the table is

So, option A is true.

4 0

2 years ago

A box has a volume given by the trinomial x^3 5x^2 -24x What are the possible dimensions of the box?

vladimir2022 [97]

Volume is legnth times width times height so 3 dimentions
thee teacher probabl y wants you to factor the trinomial into 3 factors so
x^3+5x^2-24x
first factor out x
x(x^2+5x-24)
then factor
find what 2 numbers multiply to get -24 and add to get 5
the numbers are -3 and 8
x^2+5x-24 factors to
(x-3)(x+8)
the factored form is
(x)(x-3)(x+8)=volume
no dimention can be ≤0 so therefor
x≤0

x-3≤0
add 3
x≤3

x+8≤0
subtract 8
x≤-8

so the values for x is x<3

so if you had the volume, let's say 42 then
x^3+5x^2-24x=42
subtract 42 from both sides
x^3+5x^2-24x-42=0
factor and set each to zero to find the dimentions

8 0

3 years ago

Read 2 more answers