All categories

3 years ago

Worksheet 1.3

Mathematics

1 answer:

Lena [83]3 years ago

4 0

Answer:

<h2>50h miles</h2>

Step-by-step explanation:

For us to write a math expression for the problem, we will use the formula for calculating speed.

Speed is the change of distance of a body with respect to time.

Mathematically, Speed = Distance/Time

Distance = Speed * Time

If Lumpy drove for h hours at 50 mph, then Lumpy speed = 50mph and time = h hours.

Substituting the given parameters into the formula to get the distance;

Distance = 50mph * h hours

Distance = 50h miles

Hence the math expression that modeled how far Lumpy drive is 50h miles

You might be interested in

Which value of m satisfies the inequality 170-7m >99?

Shkiper50 [21]

Answer:

$\huge \purple{m < \frac{71}{7} } \\$

Step-by-step explanation:

$170 - 7m > 99$

Move 170 to the right side of the inequality

$- 7m > 99 - 170 \\ - 7m > - 71$

Divide both sides by - 7

$\frac{ - 7m}{ - 7} > \frac{ - 71}{ - 7} \\ m > \frac{71}{7}$

Flip the signs

We have the final answer as

$m < \frac{71}{7} \\$

Hope this helps you

7 0

3 years ago

Read 2 more answers

Write the point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 include all of you

ycow [4]

Answer:

The point-slope form of the line that passes through (6,1) and is parallel to a line with a slope of -3 is 3x + y – 19 = 0

Solution:

The point slope form of the line that passes through the points $\left(x_{1} y_{1}\right)$ and parallel to the line with slope “m” is given as

$y - y_{1} = m\left(x - x_{1}\right)$ --- eqn 1

Where “m” is the slope of the line. $x_{1} \text { and } y_{1}$ are the points that passes through the line.

From question, given that slope “m” = -3

Given that the line passes through the points (6,1).Hence we get $x_{1} = 6 ; y_{1} = 1$

By substituting the values in eqn 1, we get the point slope form of the line which is parallel to the line having slope -3 can be found out.

y – 1 = -3(x – 6)

y – 1 = -3x +18

On rearranging the terms, we get

3x + y -1 – 18 = 0

3x + y – 19 = 0

Hence the point slope form of given line is 3x + y – 19 = 0

8 0

3 years ago

I need help. due in 15

Andru [333]

Decimal: 0.143

Percent: 14.3%

4 0

2 years ago

Evaluate the function f(x)=2x-2 when x equals negative 1 A. -4 B. -3 C. 0 D. 4

Alona [7]

F(x)= -4.
Just plug in -1 for your x in 2x-2 and solve like a normal equation. Think of f(x) a your y because that's basically what it is. If it helps, the equation is basically:
y=2x-2 so you would just solve for y by plugging in -1 into x.

8 0

3 years ago

Find the coordinates of the fourth vertex that completes the construction of the rectangle on the coordinate plan

SOVA2 [1]

The coordinates of the fourth vertex are (2, -4).

Step-by-step explanation:

Step 1:

The opposite sides of a triangle are always equal.

First, we plot the three given points of the rectangle.

Assume the top left corner is A, the top right corner is B, the bottom left corner is C and the bottom right corner is D.

We need to determine the coordinates of point D.

Step 2:

The coordinates of the given three points are

A (-2, 5), B (2, 5), and C (-2, -4).

A and C are the same side i.e. the left side, they have the same x coordinate of -2.

So B and D will have the same x coordinate of 2.

A and B are on the same side too i.e. the top side so they both have the same y coordinate of 5.

The points C and D are two ends of the bottom side so they must have the same y coordinate of -4.

So the coordinates of the fourth vertex are (2, -4).

4 0

3 years ago