All categories

2 years ago

HELP PLEASE. Both questions.

Mathematics

1 answer:

egoroff_w [7]2 years ago

5 0

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle

So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.

Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

I hope that helps!

I am with you if you faced any difficulties!

You might be interested in

Behind my math class help pls

vladimir2022 [97]

Answer:

Please check the explanation.

Step-by-step explanation:

Part a)

Given that the two parallel lines are crossed by a transversal line.

Given that

m∠2 = 2x + 54 and m∠6 = 6x - 11

Angle ∠2 and ∠6 are corresponding angles.

Corresponding angles are congruent.

Thus,

m∠2 = m∠6

2x + 54 = 6x - 11

flipe the equation

6x - 11 = 2x + 54

subtract 2x from both sides

6x - 2x - 11 = 2x - 2x + 54

4x - 11 = 54

adding 11 to both sides

4x - 11 + 11 = 54 + 11

4x = 65

dvide both sides by 4

4x/4 = 65/4

x = 16.2500 (round to 4 decimal places)

Part b)

We have already determined

x = 16.2500

Given

m∠2 = 2x + 54

substitute x = 16.2500 in the euation

= 2(16.2500) + 54

= 86.5°

As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.

i.e.

m∠1 + m∠2 = 180°

substituting m∠2 = 86.5° in the equation

m∠1 + 86.5° = 180°

subtracting 86.5° from both sides

m∠1 + 86.5° - 86.5° = 180° - 86.5°

m∠1 = 93.5°

Therefore, the measure of angle m∠1 is:

m∠1 = 93.5°

4 0

2 years ago

What’s 4+5+6+7+8. Plzzzzzzzz

irina1246 [14]

It's 30

Hope that helped!

8 0

2 years ago

Read 2 more answers

Of the 130 students distance learning math with Mr. Bischof, 63% of them actually work through the material. Approximately, how

QveST [7]

Answer:

Step-by-step explanation:

because 63% of 130 is 81.9

and since the question is asking approximately which means rounding, so you round 81.9 to get 82.

7 0

2 years ago

Simplify the following cos(-x)tanx

RSB [31]

$\bf \textit{symmetry identites}\\\\
cos(-\theta)=cos(\theta)\\\\
-----------------------------\\\\
cos(-x)tan(x)\implies cos(-x)\cdot \cfrac{sin(x)}{cos(x)}\\\\\\ cos(x)\cdot \cfrac{sin(x)}{cos(x)}\implies sin(x)$

8 0

2 years ago

A pine cone drops from a tree branch that is 36 feet above the ground. The function h = –16t2 + 36 is used. If the height h of t

scoray [572]

Notice that the height of the pine cone when it hits the ground is zero. So, to find the tame it takes for the pine cone to hit the ground, we just need to replace the height, $h$ , with 0 in the function, and solve for time $t$ :
$h=-16t^2+36$
$0=-16t^2+36$
$-36=-16t^2$
$t^2= \frac{-36}{-16}$
$t^2= \frac{9}{4}$
$t=(+/-) \sqrt{ \frac{9}{4} }$
$t=(+/-) \frac{3}{2}$
$t=(+/-)1.5$
Since time cannot be negative, the solution is $t=1.5$ seconds.

Since 1.5 second is significantly less than 2 seconds, we can conclude that 2 seconds is not a reasonable answer to this model.

6 0

2 years ago

Read 2 more answers