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3 years ago

14

Find the distance between the points (-6, -3) and (3,9).

2 answers:

fgiga [73]3 years ago

7 0

Answer:

the distance is 15

Step-by-step explanation:

atroni [7]3 years ago

3 0

Answer: have a good day :)

<em>the distance between the two points is 15.</em>

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What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth

uysha [10]

Answer:

The perimeter of the trapezoid is $38.25\ units$

Step-by-step explanation:

we know that

The perimeter of the trapezoid is the sum of its four side lengths

so

In this problem

$P=QR+RS+ST+QT$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$Q(8, 8), R(14, 16), S(20, 16),T(22, 8)$

step 1

Find the distance QR

$Q(8, 8), R(14, 16)$

substitute the values in the formula

$d=\sqrt{(16-8)^{2}+(14-8)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$QR=10\ units$

step 2

Find the distance RS

$R(14, 16), S(20, 16)$

substitute the values in the formula

$d=\sqrt{(16-16)^{2}+(20-14)^{2}}$

$d=\sqrt{(0)^{2}+(6)^{2}}$

$d=\sqrt{36}$

$RS=6\ units$

step 3

Find the distance ST

$S(20, 16),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-16)^{2}+(22-20)^{2}}$

$d=\sqrt{(-8)^{2}+(2)^{2}}$

$d=\sqrt{68}$

$ST=8.25\ units$

step 4

Find the distance QT

$Q(8, 8),T(22, 8)$

substitute the values in the formula

$d=\sqrt{(8-8)^{2}+(22-8)^{2}}$

$d=\sqrt{(0)^{2}+(14)^{2}}$

$d=\sqrt{196}$

$QT=14\ units$

step 5

Find the perimeter

$P=10+6+8.25+14=38.25\ units$

6 0

3 years ago

Read 2 more answers

Find the difference quotient, f(x)=3x^2+8x+3x PLease show your work in your answer

ivolga24 [154]

If you mean (x^3-8x)-(3x-2) then:
<span>1) leave the (x^3-8x) part alone and use the distributive property on the -(3x-2). </span>
<span>2) your question now becomes x^3-8x-3x+2 </span>
<span>3) combine the like terms: x^3-11x+2</span>

8 0

3 years ago

Is this a function?<br> PLEASE ANSWER!

Genrish500 [490]

Answer:

no

Step-by-step explanation:

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3 years ago

Divide x to the 1 half power divided by x to the 2 sevenths power.

juin [17]

$\frac{x^\frac{1}{2} }{x^\frac{2}{7}}$

According to the rule of exponents $\frac{a^m}{a^n} = a^{(m-n)}$ , i.e. when two terms are in division with same base , we subtract the exponents

So

$\frac{x^\frac{1}{2} }{x^\frac{2}{7}} = x^{(\frac{1}{2}) - (\frac{2}{7})}$

$=x^\frac{3}{14}$

Or

x to the 3 fourteenths power

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3 years ago

Explain how to make a precise graph of y = -2x + 3 without making a T-Table.

kifflom [539]

Answer:

x 2 + 5 x + 6

Step-by-step explanation:

y = m x + c

y- intercept

x = 0

y = (-2) (0) + 3

=3

(x =0, y = 3)

<h3>slope -2 </h3><h3>y = -1 x + 3</h3>

8 0

3 years ago