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3 years ago

A line segment has an endpoint at (5,2) and has a negative slope. Which of the following points could be the other endpoint?

Mathematics

1 answer:

slavikrds [6]3 years ago

6 0

<span>C. (4,3)

Draw and plot on a graph and (4,3) could be the other end point, which
x < 5
y > 2</span>

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Directions : Factor each of the following Differences of two squares and write your answer together with solution

N76 [4]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Factor each of the following differences of two squares and write your answer together with solution.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: x ^ { 2 } - 36$

Rewrite $\sf\:x^{2}-36 as x^{2}-6^{2}$ . The difference of squares can be factored using the rule: $\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}$

__________________

$\sf \: 49 - x ^ { 2 }$

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf \: \left(7-x\right)\left(7+x\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}$

__________________

$\sf \: 81 - c ^ { 2 }$

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf\left(9-c\right)\left(9+c\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}$

__________________

$\sf \: m ^ { 2 } n ^ { 2 } - 1$

Rewrite m²n² - 1 as $\sf\left(mn\right)^{2}-1^{2}$ . The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}$

4 0

2 years ago

Read 2 more answers

PLZ HELP AND EXPLAIN !! Arron borrowed $200 from his cousin. He promised to repay the loan in 2 years at a simple annual interes

Dmitriy789 [7]

The first thing you have to do is know the equation. The equation is a(1+p)^t.
a= the amount of money p= the percent represented as a decimal and t=time ( the t is raised as an exponent)
so, in this case, it is represented as 200(1+0.05)^2\
200(1.05)^2
200(1.1025)
220.5 That is how much extra he would owe in interest fee's

5 0

2 years ago

Solve for x : 6x+ 1/4 (4x+8)> 12

loris [4]

Answer:

x > 10/7 or x > 1 3/7

Step-by-step explanation:

First simplify the left side of the inequality.

6x+ 1/4 (4x+8)> 12

6x+x+2>12

7x+2>12 Next, using the property of inequality, subtract two from both sides.

7x>10 Now divide by 7 to solve for x.

x>10/7 or x> 1 3/7

6 0

2 years ago

9) Brennen is rock climbing and is 15 feet above ground level. He descends 4 feet,

DanielleElmas [232]

Answer:

15 feet above ground.

Step-by-step explanation:

15 feet - 4 feet = 11 feet

11 feet + 5 feet = 16 feet

16 feet - 1 foot = 15 feet

6 0

2 years ago

Identify the x-intercept and y-intercept of the line 2x -5y =20

alexdok [17]

To find the x intercept, sub in 0 for y and solve for x
2x - 5y = 20
2x - 5(0) = 20
2x = 20
x = 20/2
x = 10....x intercept is (10,0)

to find the y intercept, sub in 0 for x and solve for y
2x - 5y = 20
2(0) - 5y = 20
-5y = 20
y = -20/5
y = -4....y intercept is (0,-4)

8 0

2 years ago

Read 2 more answers