Mathematics, 13.02.2021 01:00 saucyyyyniahhhhh

PLEASE HELP !! ILL GIVE BRAINLIEST EXTRA POINTS..
IM GIVING 40 POINTS !! DONT SKIP :((.

PLEASE HELP DONT SKIP :((.

Answers: 3

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Answers

Answer from: drewdean5545

If I’m correct, Caiden’s vehicle gets the higher rate of miles per gallon.

You can get that answer by working on the graph shown for Ethan and converting it into an equation as well.

To do that, we need to find the slope. The slope is the unit rate. For example, it says Caiden’s unit rate is 16.2 miles per gallon. So we’re finding Ethan’s unit rate.

This can be used with the line on that graph. The first point of the line we could use is at (0,0) which is the start of the graph. We want to use whole numbers so the next point is (2,30) (because if you look closely at the line, it fits perfectly in that spot).

Remember when it comes to the points in the graph, x is at the bottom while y is on the side. So it’s ordered as (x,y)
Just to make that clear!

Just having the point (2,30) doesn’t tell you much about the unit rate yet. So we have to divide.

30/2=15

So Ethan’s unit rate is 15 miles per gallon.
16 is the larger number so Caiden’s vehicle is going at a higher rate per gallon.

Hope that helps!!

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in $\delta bea$ and $\delta dea$ ;

$ba=da$ , as these are radii of our given circle.

$ea=ea$

therefore, $\delta bea\cong \delta dea$ by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

$3x-24=x+10$