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3 years ago

All of the following expressions simplify to -4x + 9, except

Mathematics

1 answer:

Alla [95]3 years ago

6 0

What are the options for the expressions?

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Find slope intercept form of 5x+8y=120 passing through (4,5)

yarga [219]

Answer:

$y=-(5/8)x+(15/2)$ or $y=-0.625x+7.5$

Step-by-step explanation:

The question is

Find the slope intercept form of the line parallel to the line 5x+8y=120 passing through (4,5)

step 1

Find the slope of the given line

we have

$5x+8y=120$

isolate the variable y

$8y=-5x+120$

$y=-(5/8)x+15$

The slope of the given line is m=-5/8

step 2

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

The slope of the parallel line to given line is m=-5/8

step 3

Find the equation of the line into slope intercept form

The equation of the line into slope intercept form is equal to

$y=mx+b$

we have

m=-5/8 and point (4,5)

substitute and solve for b

$5=-(5/8)(4)+b$

$b=5+(20/8)$

$b=60/8=15/2=7.5$

substitute

$y=-(5/8)x+(15/2)$

$y=-0.625x+7.5$

5 0

3 years ago

9 - 3 root 3 + 3 root 3 - 3

d1i1m1o1n [39]

Simplify 3^3
= (9-27) + (27-3)
= (-18) + (24)
= 6

6 0

3 years ago

Determine the number of terms in each algebraic expression (6a+9)-7b

Vesnalui [34]

Answer:

Step-by-step explanation:

(6a+9)-7b

There are 3 terms

3 0

3 years ago

Read 2 more answers

What's the area of the entire shape?

Svetach [21]

Answer:

Step-by-step explanation:

you need to multiply its length by its with

7 0

3 years ago

Points F,G, and H are collinear such that FG:FH=2/3.If a directed line segment begins at F(-3,2) and ends at H (-3,7), find the

Nana76 [90]

We consider the x- and y-coordinates separately. Let the coordinates of G be (x, y). Now considering the x-coordinates:
FG/FH = (x - (-3)) / (-3 - (-3)) = 2/3
x + 3 = (2/3)(6)
x = 1
For the y-coordinates:
FG/FH = (y - 2) / (7 - 2) = 2/3
y - 2 = (2/3)(5)
y = 16/3
Therefore the coordinates of G are (1, 16/3).

8 0

3 years ago