2 years ago

The endpoints of EF¯¯¯¯¯¯¯¯ are E(−4,12) and F(3,15). Find the coordinates of the midpoint M..

Mathematics

1 answer:

Ray Of Light [21]2 years ago

5 0

Answer:

(-1/2, 27/2)

Step-by-step explanation:

Midpoint formula: (x^1 +x^2/ 2, y^1 +y^2/ 2)

(-4 +3 /2, 12+15/ 2) -> (-1/2, 27/2)

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-4(2x-3) simplified

Stells [14]

Answer:

-8x + 12

Step-by-step explanation:

Distribute -4 to the parentheses:

-4(2x - 3)

-4(2x) = -8x

-4(-3) = 12

-8x + 12

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3 years ago

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The ideal width of a safety belt strap for a certain automobile is 7 cm. An actual width can vary by at most 0.3 cm. Write an ab

tester [92]

<span>
</span> $(7-.3) \leq w \leq (7+.3)
$

$6.7 \leq w \leq 7.3$

$w - 7 = -0.3$

$w = 6.7$

So the answer is

<span>C. |w – 7| ≤ 0.3</span>

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3 years ago

Dan is a software salesman. His base salary is $1700, and he makes an additional $120 for every copy of History is Fun he sells.

sashaice [31]

We know that P is 1700, plus 120 for every copy of the book he sells. As a result, P=120N+1700. If N=29, we have P=120*29+1700, or P=3480+1700, so P=5180.

3 0

2 years ago

Evaluate the expression. [(3–5)(34)]3 1 Innermost group, apply the product of powers: [3–1]3 2 Apply the power of a power: 3–3 3

Otrada [13]

Answer:

x=27

Step-by-step explanation:

To evaluate the expression: $[(3^{-5})(3^4)]^3$

Step 1: Innermost group, apply the product of powers ( $a^x \times a^y =a^{x+y}$

Therefore:

$(3^{-5})(3^4)=3^{-5+4}=3^{-1}$

We then have:

$=[3^{-1}]^3$

Step 2: Apply the power of a power

$[3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}$

Step 3: Apply the negative exponent

$3 ^{-3} =\dfrac{1}{3^3}$

Step 4: Simplify

$\dfrac{1}{3^3}=\dfrac{1}{27}$

Therefore, the value of x in the simplified expression is 27.

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2 years ago

Help me with this please

Allisa [31]

Answer:

Step-by-step explanation:

3x = -21

-21+ -14 = -35

-35 + 5 = 30

5 0

2 years ago