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WINSTONCH [101]
3 years ago
9

One number is 9 more than another. if the sum of the two numbers is 171, find the two numbers

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Let x be the 1st number
x + 9 be the second number

Equation:
x + x+9 = 171

Solution:
2x + 9 = 171
2x = 171 - 9
2x = 162
x = 81
x + 9 = 90

81 + 90 = 171
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Which equation shows the point slope form of the line that passes through (5,1) and has a slope of 1/2
arsen [322]

Answer:

3rd option, y-1 = \frac{1}{2} (x-5)

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.  

Use the point-slope formula y-y_1 = m (x-x_1) to write the equation in point-slope form. Substitute the m, x_1, and y_1 for real values.

Since m represents the slope, substitute \frac{1}{2} in its place. Since x_1 and y_1 represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for x_1 and 1 for y_1. This gives the following equation:

y-1 = \frac{1}{2} (x-5)  

5 0
3 years ago
Write an equation for the simple harmonic motion of a ball on a spring that starts at its lowest point of 6 inches below equilib
olasank [31]
So a general harmonic equation is Asin(2πt/T). Little t is just a variable. 6 inches is the height of one maximum and one minimum from equilibrium, so that is the amplitude A. T is the period, or the time of one cycle (or wavelength), which is 2 seconds.

The equation is therefore (in terms of seconds and inches), 6*sin(2πt/2), or 6*sin(πt).
6 0
3 years ago
Lori is three times as old as Michelle. In five years Michelle's age will be one half of Lori's age. How old are Lori and Michel
AURORKA [14]

Answer:

Lori's age is 15 years old and Michelle's age is 5 years old now

Step-by-step explanation:

Let

x-----> Lori's age

y ----> Michelle's age

we know that

x=3y-----> equation A

(y+5)=\frac{1}{2}(x+5) ----> equation B

substitute equation A in equation B and solve for y

(y+5)=\frac{1}{2}(3y+5)

2y+10=(3y+5)

3y-2y=10-5

y=5

Find the value of x

x=3(5)=15

therefore

Lori's age is 15 years old and Michelle's age is 5 years old now

7 0
4 years ago
A cylinder has a radius of X +2 and a height of X +4 which polynomial in standard form best describes the total volume of the cy
just olya [345]

Answer:

the answer for the question is a

6 0
4 years ago
SOMEONE HELP ASAPPPP PLEASEEE,PLEASE EXPLAIN HOW U GOT YOUR ANSWER, I NEED AN EXPLANATION IN ORDER TO COMPLETE THIS! NO LINKS OR
slega [8]

Answer:

1)

A)

We must use the formula b x h/2  12 x 8/2 = 48    

A=48

B)

We must use the formula 1/2a root c squared - a squared

Solving and substituing will get you 35.78

2)

A)

We must divide 81 by 2 to get 9. Since this is a square, all sides will be 9. Then, we must add 9 four times to get 36 cm as our perimeter

B) If we draw the square with a diagonal line, we can understand that the diagonal line (hypotenus) is  s root 2.

3) The formula for this area of a triangle is h x b/2. We must substitute the numbers to get our answer:

h x b /2 = 10 x 20/2 = 200/2 = 100

AREA IS 100cm squared

Step-by-step explanation:

5 0
3 years ago
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