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Deffense [45]
3 years ago
8

The sum of two numbers is 72. The greater number is 8 more than the smaller number. Which equation can be used to solve for the

smaller number?
x − (x + 8) = 72
x + (x + 8) = 72
x(x + 8) = 72
x(x − 8) = 72
Mathematics
2 answers:
yKpoI14uk [10]3 years ago
6 0
Lets smaller number is x
<span>The greater number is 8 more than the smaller number : x + 8
</span><span>The sum of two numbers is 72: x +( x + 8)= 72

answer
</span><span>x + (x + 8) = 72</span>
umka2103 [35]3 years ago
4 0

Answer:

x + (x + 8) = 72

Step-by-step explanation:

Smaller number is x

Greater number is 8 more than the smaller number: x + 8

Sum of two numbers is 72: x + (x + 8) = 72

Hope I Helped! :D

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Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.
Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: \mathbf{y=-2x+11}

Equation of the line that passes through the given point and is (b) perpendicular is: \mathbf{y=\frac{1}{2}x+1}

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have points (1,6) and (2,2)

Slope is:

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11

The equation of line will be:

y=mx+b\\y=-2x+11

Equation of the line that passes through the given point and is (a) parallel is: \mathbf{y=-2x+11}

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1

The equation of line will be:

y=mx+b\\y=\frac{1}{2}x+1

Equation of the line that passes through the given point and is (b) perpendicular is: \mathbf{y=\frac{1}{2}x+1}

6 0
3 years ago
Two cards are drawn at random from a standard deck without replacement. Which of the following
Pachacha [2.7K]

Answer: .15% (point fifteen percent)  

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Step-by-step explanation:

8 0
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Find f(-2) for f(x)=2*3^x
vlabodo [156]
Replace x with -2

2 * 1/9= 2/9
8 0
3 years ago
Please this IXL is due tomorrow I really am struggling.
balandron [24]

Number of people can hold in each car = 10

Solution:

Number of cars in the Blazing Bullet = 6

Total number of people can ride at one time = 60

Number of people can hold at one Bullet car = ?

Let n be the number of people in each car can hold.

Now write a equation to find the number of people in each car.

Number of cars × number of people in each car = Total number of people

⇒ 6 × n = 60

⇒ 6n = 60

Now, solving this equation.

⇒ 6n = 60

Divide both sides of the equation by 6.

$ \Rightarrow\frac{6n}{6} = \frac{60}{6}

$ \Rightarrow n=10

⇒ n = 10

Hence 10 people can hold in each car.

6 0
4 years ago
calculate the distance between each given pair of points round your answer to the nearest tenth if necessary (3,1) and (6,5)
AnnZ [28]
The distance between (3, 1) and (6, 5) is 5.

D=√(x₂-x₁)²+(y₂-y₁)²
D=√(6-3)²+(5-1)²
D=√3²+4²
D=√9+16
D=√25
D=5
3 0
4 years ago
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