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2 years ago

Plot all points that are a distance of 7 units from 4. What are their values?

Mathematics

1 answer:

Tasya [4]2 years ago

6 0

Distance is the number of units between points.

The distance that are 7 units from 4 are: 11 and -3

A distance of 7 units from 4 means:

$x - 7 = 4$ or $x + 7 =4$

Where:

x is the required distance

Solve for x in both equations.

$x - 7 = 4$

$x = 7 + 4$

$x = 11$

$x + 7 =4$

$x =4 - 7$

$x =- 3$

So, the distance that are 7 units from 4 are: 11 and -3

See attachment for illustration

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3 years ago

The height of a football during a punt is modeled by h=-16t^2+60t+3. If the football hits the ground, how long did it stay in th

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h = -16t² + 60t + 3

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$t = \frac{-b +/- \sqrt{b^{2}-4ac } }{2a}$

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3 years ago

Complete the missing parts of the paragraph proof. Draw a perpendicular from P to AB. Label the intersection C. We are given tha

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2) We know that angles PCA and PCB are right angles by the definition of perpendicular.

Perpendicularity is the relation between two lines that meet at a right angle. Since we know that PC is perpendicular to AB by construction, ∠PCA and ∠PCB are right angles.

3) PC ≅ PC by the reflexive property congruence.

The reflexive property congruence states that any shape is congruent to itself.

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CPCTC states that if two triangles are congruent, then all of the corresponding sides and angles are congruent. Since ΔACP ≡ ΔBCP, then the corresponding sides AC and BC are congruent.

5) Since PC is perpendicular to and bisects AB, P is on the perpendicular bisector of AB by the definition of the perpendicular bisector.

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3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (-2,7) and (2,-5) in simplest form ?

creativ13 [48]

Its $m=\dfrac{\Delta y}{\Delta x}=\dfrac{7-(-5)}{-2-2}=\dfrac{12}{-4}=\boxed{-3}$ .