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4 years ago

Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular

Mathematics

1 answer:

Nat2105 [25]4 years ago

5 0

Answer:

$\frac{5}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - $\frac{2}{5}$ x + 3 ← is in slope- intercept form

with slope m = - $\frac{2}{5}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{5} }$ = $\frac{5}{2}$

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Giving brainliest!!<br> pls help asap *easy*

Scrat [10]

Answer:

V ≈ 16.333 in³

Step-by-step explanation:

Formula of the Volume of a Sphere: $\frac{4}{3} \pi r^{2}$

V = $\frac{4}{3}$ × (3.5)²π

V = $\frac{4}{3}$ × 12.25π

V ≈ 16.333 in³

8 0

3 years ago

1. Assume O P || NM.

ipn [44]

1. Assuming OP || NM, considering the triangle proportionality theorem possible measurements for the segments are: ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units

2. The possible values are decided by assuming $\frac{ON}{LO} = \frac{PM}{LP} = 3$ using the triangle proportionality theorem.

3. Another method is applying the AA Similarity Theorem to compare corresponding side lengths of the triangles that are proportional to each other.

<h3>What is the Triangle Proportionality Theorem?</h3>

Triangle proportionality theorem states that if a line is parallel to one of the sides of a triangle intersects two of the other two sides, it divides the two sides into proportional corresponding segments.

1. Assuming that OP || NM, we would apply the triangle proportionality theorem to have the following ratio:

$\frac{ON}{LO} = \frac{PM}{LP}$

Using the above ratio, we can choose the following possible lengths for the segments:

ON = 3 units

LO = 1 unit

PM = 6 units

LP = 2 units

2. The values are decided assuming that the ratio, $\frac{ON}{LO} = \frac{PM}{LP} = 3$

This means that the ratio of the proportional segments, irrespective of the their measurement should give you an assumed equal ratio of 3:1.

Therefore, since:

$\frac{3}{1} = 3\\\\\frac{6}{2} = 3$

The measurements, ON = 3 units, LO = 1 unit, PM = 6 units, LP = 2 units are therefore possible measurements.

3. Using the AA Similarity Theorem to prove that ΔLPO ≅ ΔLMN, the corresponding sides of both triangles will be proportional.

LP/LM = LO/LN = PO/MN

We can use this to choose possible measurements while assuming a ratio between the proportional sides of both triangles.

Let's assume that: LP/LM = LO/LN = PO/MN = 1/4

Let,

LO = 1 unit

LN = 4 units

Therefore, ON = LN - LO = 4 - 1 = 3 units.

Same way the other possible measures can be gotten provided a ratio is assumed.

Learn more about triangle proportionality theorem on:

brainly.com/question/24804474

4 0

3 years ago

Find the difference of the following polynomials:<br> (-2r4 + 3r3 - 10) and (4r4 - p3 + 2r2 + 7).

Vilka [71]

$-6 r^{4}+4 r^{3}-2 r^{2}-17$ is the difference between $-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7$

Step-by-step explanation:

Given equations,

$-2 r^{4}+3 r^{3}-20 \text { and } 4 r^{4}-p^{3}+2 r^{2}+7$

Difference of the polynomial is written as

$=-2 r^{4}+3 r^{3}-20-\left(4 r^{4}-p^{3}+2 r^{2}+7\right)$

Open the brackets and multiply with -1 the whole expression $\left(4 r^{4}-p^{3}+2 r^{2}+7\right)$ becomes

$=-2 r^{4}+3 r^{3}-20-4 r^{4}+p^{3}-2 r^{2}-7$

$=-6 r^{4}+4 r^{3}-2 r^{2}-17$

This is the difference of given two polynomials is $-6 r^{4}+4 r^{3}-2 r^{2}-17$ .

4 0

3 years ago

A person who weighs 240 pounds burns 180 calories per mile of running. If a person burns thirty-six calories by running one mile

ivanzaharov [21]

I would assume the weight of the person burning 36 calories per mile would weigh 180 pounds.

3 0

3 years ago

Read 2 more answers

Find the indicated measure in parallelogram ABCD m

Zarrin [17]

Check the picture below.

those angles in red are alternate interior with the angles at A and D, therefore, equal.

8 0

3 years ago