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2 years ago

Write an equation in slope-intercept form using the given information about each line.

Mathematics

1 answer:

mel-nik [20]2 years ago

6 0

9514 1404 393

Answer:

y = 1/2x +7

Step-by-step explanation:

I like to start with the 2-point equation for a line.

y = (y2 -y1)/(x2 -x1)(x -x1) + y1

y = (9 -8)/(4 -2)(x -2) +8 . . . . . fill in point values

y = 1/2(x -2) +8 . . . . . simplify a bit

y = 1/2x +7

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Find the vertex of f(x)= 0.25|x-3|

Ksju [112]

Answer:

(3,0)

Step-by-step explanation:

7 0

2 years ago

Please help me with my Algebra homework!!!

balu736 [363]

Answer:

B) No Unique Solutions

Step-by-step explanation:

Given:

$z=x+5y-14$

$-2y=-4\\y={-4}{-2}=2$

$3x+y-3z=14$

now we now the value of y = 2 so we will substitute in equation $z=x+5y-14$

$z=x+5\times2-14\\z=x+10-14\\z= x-4$

Now, We have value of y=2 and value of $z=x-4$ Substituting in both the value in equation $3x+y-3z=14$

$3x+2-3(x-4)=14\\3x+2-3x+12=14\\14=14$

which means that the equation has Infinite solutions.

7 0

2 years ago

Why is #2 the expression ln(2e)^3x equivalent to choice B?

motikmotik

Hello:
ln(2e^3x) =ln2+lne^3x
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= ln2+3x .....lne=1
choice B

8 0

2 years ago

Suppose that w and t vary inversely and that t = 5/12

Svetlanka [38]

Answer:

Option B. t=5/3w ;1/3

Step-by-step explanation:

We are told that $w$ varies Inversely with $t$ thus generally speaking $w$ ∝ $\frac{1}{t}$ since they are inverted, otherwise if they were proportionally varied then $w$ ∝ $t$ . This means that there is a constant value ( $a$ ) for which $w$ is inversely proportional to $t$ and can be mathematically expressed as:

$w=\frac{a}{t}$ Eqn. (1)

Now since we are given the values of $w=4$ and $t=\frac{5}{12}$ , we can plug them in Eqn. (1) and find our constant of proportionality $a$ as follow: