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3 years ago

Help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

irakobra [83]3 years ago

3 0

The top portion of this graph would be y = 4

The bottom portion would be y = x - 1

In order to find both of these, we have to look at them separately. Let's start with the flat line between 1 and -1. Since it is between those numbers, we know this one goes on top. We also know that since the line is horizontal, that the equation must be y = the number that it sits at. This is the definition of a horizontal line. Since the line is at 4, we get y = 4.

For the sloped portion, we have to pick two points and find the equation of the line. Let's use (3, 2) and (5, 4). We must start by finding slope (m)

m = (y1 - y2)/(x1 - x2)

m = (4 - 2)(5 - 3)

m = 2/2

m = 1

So we know slope to equal 1. Now we can use a point and slope intercept form to find the y-intercept (b)

y = mx + b

4 = 1(5) + b

4 = 5 + b

-1 = b

Now put them together in an equation for the bottom part: y = x - 1

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Sam is renting one of two cars to go on a 300-mile trip. The first car can travel 75 miles on 5 gallons of gas. The second car c

Doss [256]

Solution:

The first car can travel 75 miles on 5 gallons of gas.

So per mile gas consumed by car $=\frac{5}{75}=\frac{1}{15}$ gallon

The second car can travel 240 miles on 20 gallons of gas.

So per mile gas consumed by car $=\frac{20}{240}=\frac{1}{12}$ gallon

It mean Sam should rent the First car.

Sam is renting one of two cars to go on a 300-mile trip.

So total number of gallons of gas required $=\frac{1}{15}*300=20$

Total cost of 20 gallons of gas $=\frac{49.42}{14}*20= 70.6$ dollar

3 0

2 years ago

Evaluate tan45/sin30 . In your final answer, include all calculations.

Maslowich

From the identity $\displaystyle{ \tan x= \frac{\sin x}{\cos x}$ , and from the values:

$\sin45^{\circ}=\cos45^{\circ}= \frac{ \sqrt{2}}{2}$ ,

we have: $\displaystyle{ \tan 45^{\circ}= \frac{\sin 45^{\circ}}{\cos 45^{\circ}}= \frac{ \frac{ \sqrt{2}}{2}}{\frac{ \sqrt{2}}{2}} =1$ .

We also know that $\sin30^{\circ}= \frac{1}{2}$ .

Thus, $\displaystyle{ \frac{\tan 45^{\circ}}{\sin30^{\circ}} = \frac{1}{\frac{1}{2}}=2.$

Answer: 2

8 0

3 years ago

8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that cont

Svetllana [295]

Answer:

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

= 12

Answer: 12

7 0

3 years ago

Find the value of x and y

vova2212 [387]

let's first off take a look at the tickmarks, three side tickmarks, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.

there are two angle tickmarks, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.

now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.

let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.

the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then

30° + a° + a° = 180°

30 + 2a = 180

2a = 150

a = 75° = y

now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.

well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.

5 0

3 years ago

Write an equation of a line that passes through (-12, -14) with slope 6.

damaskus [11]

The slope intercept form of a line is y = mx + b

m = slope
b = y-intercept

Plug in the slope, 6, into m.

Rewrite the equation;

y = 6x + b
We need to find b, your y-intercept, to finish this equation.

Plug in your point coordinate, (x, y) ⇒ (-12, -14) into the equation.

-14 = 6(-12) + b

Solve for b to find the y-intercept.

-14 = -72 + b
58 = b

Your new equation (your answer) is y = 6x + 58.

6 0

3 years ago