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2 years ago

Given the slopes of three lines, m1 = 2, m2 = 5. m3 = -4, which line would you say is

2 answers:

5 0

The steepest slope is m = 5.

Slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line. To calculate the slope of a line, we use a ratio that compares the change in y (the rise) to the change in x (the run).

Comparing the ratios of the given slopes:

m1 = 2/1
m2 = 5/1
m3 = -4/1

They all have the same change in x (run), but vary in the change in y (rise).

If you envision the slope of m1 as going up 2, and 1 unit to the right, it is not as steep as the slope of m2, which goes up 5 units and 1 unit to the right.

M2 is also steeper than m3, because with m3, you go down only 4 units and 1 unit to the right.

Attached is a screenshot of a graph where it compares the given slopes. As you’ll see from the graph, y = 5x (red line) is the steepest.

Therefore, the correct answer is m = 5.

bagirrra123 [75]2 years ago

4 0

Compare the slopes of the 4 equations, which is the number in the term with "x". The slope with highest absolute value is the steepest. Positive slope means the function is ascending left to right, negative slope means it is descending left to right. If you only care that it is the steepest, regardless of whether it is ascending or descending, then the answer is (D).

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Find the value of'y'from the given figure <img src="https://tex.z-dn.net/?f=class8" id="TexFormula1" title="class8" alt="clas

telo118 [61]

Answer:

$y = 30$

Skills needed: Angle Geometry

Step-by-step explanation:

1) First, let's see what we should know prior to solving.

---> We have to find the value of $y$ , and looking at that diagram, we have to create an equation.

---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).

---> When you add $3y+3y$ , you can set that sum equal to 180. This is because the two angles marked $3y$ added together make a straight line, which is a straight angle.

(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)

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2) Now, the equation would be:

$3y+3y=180$

$6y=180$ --> Combining $3y$ and $3y$ (3+3 = 6)

$y = 180\div6$ --> Dividing by 6 on both sides, to get $y$ by itself.

$y=30$ ---> $180 \div 6$ is 30, so $y$ is equal to 30.

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$y=30$

6 0

2 years ago

To visit his grandmother, Michael takes a motorcycle 3.853 kilometers and a horse 3.32 kilometers. In total, the journey takes 5

Marysya12 [62]

3.853 + 3.32 = 7.173 km

8 0

3 years ago

A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10

grigory [225]

Answer:

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation which will tell the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = $40-24$ = 16 gallons

Using unitary method:

If in $\frac{1}{2}$ of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = $16\times 2$ = 32 gallons

In 3 hours the water filled will be = $32\times 3$ = 96 gallons

Thus, by 1:00 PM the water in the tank will be = $96+24$ = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

4 0

3 years ago

Use long division to convert the rational number 4/9 to its equivalent decimal form. In your final answer, include all of your w

mamaluj [8]

4/9=9/40=4 remainder 4 so 4.4

4 0

3 years ago

The quotient of b and 2 minus 4 is at least 26. I need this ASAP

Pavlova-9 [17]

For this case we must express the following expression algebraically:

"The quotient of b and 2 minus 4 is at least 26"

So we have to:

The quotient of b and 2 minus 4, is represented as: $\frac {b} {2-4}$

We have different signs subtracted and the sign of the major is placed:

$\frac {b} {- 2}$

Thus, the expression is written as:

$\frac {b} {2-4} \geq26\\\frac {b} {- 2} \geq26\\- \frac {b} {2} \geq26$

ANswer:

$\frac {b} {2-4} \geq26$

3 0

3 years ago