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3 years ago

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0).

1 answer:

6 0

Slope =( 4 - 0) /(-6 - 2) = 4/-8 = -1/2

passes through the points (−6, 4) and (2, 0).
so

y - 0 = -1/2(x - 2)
y = -1/2 (x - 2) 

hope it helps

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Find the midpoint of the line segment defined by the points: (5, 4) and (−2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5)

Setler79 [48]

Answer:

$\boxed {\boxed {\sf (1.5 , 2.5)}}$

Step-by-step explanation:

The midpoint is the point that bisects a line segment or divides it into 2 equal halves. The formula is essentially finding the average of the 2 points.

$(\frac {x_1+x_2}{2}, \frac {y_1+ y_2}{2})$

In this formula, (x₁, y₁) and (x₂, y₂) are the 2 endpoints of the line segment. For this problem, these are (5,4 ) and (-2, 1).

x₁= 5
y₁= 4
x₂= -2
y₂= 1

Substitute these values into the formula.

$( \frac {5+ -2}{2}, \frac {4+1}{2})$

Solve the numerators.

5+ -2 = 5-2 = 3
4+1 = 5

$( \frac {3}{2}, \frac{5}{2})$

Convert the fractions to decimals.

$(1.5, 2.5)$

The midpoint of the line segment is (1.5 , 2.5)

3 0

3 years ago

What is the justification for each step in solving the inequality? 3x+1/2<−x+4 Select from the drop-down menus to correctly j

patriot [66]

Answer:

see below

Step-by-step explanation:

(3x+1)/2<−x+4

Multiply each side by 2 using the multiplication property of equality

3x+1 < -2x +8

Subtract 1 from each side using the subtraction property of equality

3x < -2x+7

Add 2x to each side using the addition property of equality

5x < 7

Divide each side by 5 using the division property of equality

x < 7/5

3 0

3 years ago

Read 2 more answers

Technician A says that a cylinder leakage test fills the cylinder with compressed air and the gauge indicates the percentage of

alukav5142 [94]

Answer:

Technician A is correct.

Step-by-step explanation:

Technician A says that a cylinder leakage test fills the cylinder with compressed air, and the gauge indicates the percentage of leakage.

This is correct.

The cylinder leakage test is also called engine leak down test. Here rather than measuring the ability of engine to generate pressure, compressed air is filled in the cylinder via spark plug hole.

8 0

3 years ago

What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?

Flura [38]

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = $\frac{15}{10}=\frac{3}{2}$ If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

$15(\frac{3}{2})= \frac{45}{2}=22.5$ Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

$A_n=a_1(r)^{n-1$ where a1 is the first number in the sequence and r is the common ratio. Filling in:

$A_n=10(\frac{3}{2})^{n-1$

8 0

3 years ago

What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

Nesterboy [21]

We know that

[the length of a circumference]=2*pi*r
for r= 4 units
[the length of a circumference]=2*pi*4--------------> 25.12 units

if a full circle (360°) has a length---------------------> 25.12 units
arc for an angle of 72 °---------------------------> X
X=72*25.12/360------------> 5.024 units

the answer is
the length of the subtending arc for an angle of 72° is 5.024 units

4 0

3 years ago