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SIZIF [17.4K]
3 years ago
12

Devaughn is 15 years younger than Sydney. The sum of their ages is 37 . What is Sydney's age?

Mathematics
1 answer:
posledela3 years ago
7 0
Hi,
Let Sydney's age be x.
Devaughn=(x-15)
x+(x-15)=37
x+x-15=37
2x-15=37
2x=37+15
2x=52
x=52/2
x=26
Sydney is 26 years old.
Hope this Helps you.
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Step-by-step explanation:

4x = 200

Divide both sides by 4

x = 200 \div 4 = 50

so after 50 hours of walking, the men will be 200 miles apart.

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3 years ago
What value of x solves the equation? -(-5x + 3) = 17 What value of x solves the equati​
alexdok [17]

Step-by-step explanation:

-(-5x + 3) = 17

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2 years ago
Line segment NY has endpoints N(-11, 5) and Y(3,-3).
777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)

Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)

Midpoint=\left(-4,1\right)

Slope of lines NY is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{-3-5}{3-(-11)}

m=\dfrac{-8}{14}

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Product of slopes of two perpendicular lines is -1. So,

m_1\times \dfrac{-4}{7}=-1

m_1=\dfrac{7}{4}

The perpendicular bisector of NY passes through (-4,1) with slope \dfrac{7}{4}. So, the equation of perpendicular bisector of NY is

y-y_1=m_1(x-x_1)

y-1=\dfrac{7}{4}(x-(-4))

y-1=\dfrac{7}{4}(x+4)

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y=\dfrac{7}{4}x+8

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6 0
2 years ago
HELP PLZZZZZ
Dmitry_Shevchenko [17]

Answer: Option (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

Explanation:

Given expression:

(2^3)(2^{-4})

<em>Step-1: </em>Add the exponents and keep the same base by using x^a*x^b = x^{a+b} property.

(2^3)(2^{-4}) = 2^{(3+(-4))} = 2^{-1}

Step-2: The reciprocal of 2^{-1} is \frac{1}{2^{-1}}, which is 2^1

Step-3: The exponent of 2^1 is +1; therefore, change the sign of exponent. The end expression will now become:

2^{-1}

Hence, the correct option is (D) Add the exponents and keep the same base. Then find the reciprocal and change the sign of the exponent.

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