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3 years ago

What equation represents a line that passes through (4,1/3) and has a slope of 3/4

1 answer:

4 0

$\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{\frac{1}{3}})
\qquad \qquad \qquad \qquad 
% slope = m
slope = m\implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-\cfrac{1}{3}=\cfrac{3}{4}(x-4)\implies y-\cfrac{1}{3}=\cfrac{3}{4}x-3
\\\\\\
y=\cfrac{3}{4}x-3+\cfrac{1}{3}\implies y=\cfrac{3}{4}x-\cfrac{8}{3}$

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What type of association does the graph show between x and y?

eimsori [14]

Linear positive association

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2 years ago

Please help me ive never done one like this

inessss [21]

Given:

DE = (6x - 9) cm

EF = (4x + 4) cm

LM = 14 cm

MN = 16 cm

To find:

The value of x.

Solution:

<em>If three or more parallel lines intersect two transversals, then they cut off the transversals proportionally.</em>

$$\Rightarrow \frac{DE}{EF} =\frac{LM}{MN}$

$$\Rightarrow \frac{6x-9}{4x+4} =\frac{14}{16}$

Do cross multiplication.

$$\Rightarrow 16( {6x-9})=14 ({4x+4} )$

$$\Rightarrow 96x-144=56 x+56$

Add 144 on both sides.

$$\Rightarrow 96x-144+144=56 x+56+144$

$$\Rightarrow 96x=56 x+200$

Subtract 56x from both sides.

$$\Rightarrow 96x-56x=56 x+200-56x$

$$\Rightarrow 40x=200$

Divide by 40 on both sides, we get

$$\Rightarrow x=5$

The value of x is 5.

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2 years ago

a room has a rectangular floor that measures 28 feet by 14 feet and a flat 9-foot ceiling. what is the area of the floor and how

balu736 [363]

Answer:

Step-by-step explanation:

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2 years ago

Jessica is walking home from a friend's house after 2 minutes she is 1.6 miles from home 8 minutes after leaving she is 1.1 mile

Artist 52 [7]

1.6 miles - 1.1 miles = 0.5 miles

8 minutes - 2 minutes = 6 minutes

She traveled 0.5 miles in 6 minutes.

1 hour = 60 minutes.

60 minutes / 6 minutes = 10

0.5 x 10 = 5

She is walking 5 miles per hour.

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2 years ago

Given f(x)=4x^3-3x^2+10 use the remainder theorem to find f(-2)

ozzi

To do this, you would need to use synthetic division.

-2 | 4 -3 10
-8 22
4 -11 32

Your reminder would be 32.

Sorry if my graph of synthetic division is a bit messy, you can only do so much on a phone!

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3 years ago