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Arisa [49]
3 years ago
5

Three thousand four hundred seventy seven ten thousandth standard decimal form

Mathematics
1 answer:
timurjin [86]3 years ago
5 0
The answer is 774.13
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Graph each linear equation that passes through the given pair of points. Use graph paper.
Naya [18.7K]

Answer:

The easier way to solve this is to find the two points in the coordinate axis, and just draw a line that passes through the two points.

But let's be more complete:

Let's find the equations for each line:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

1) Here the points are (2,2) and (4,5)

then the slope is:

a = (5 - 2)/(4 - 2) = 3/2

y = (3/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (2, 2)

2 = (3/2)*2 + b

2 = 3 + b

2 - 3 = b

-1 = b

y = (3/2)*x - 1

2) Here the points are (0,1/2) and (2,3/2)

then the slope is:

a = (3/2 - 1/2)/(2 - 0) = 1/2

y = (1/2)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (0, 1/2)

1/2 = (1/2)*0 + b

1/2 = b

y = (1/2)*x + 1/2

3) Here the points are (-1,2) and (5,0)

then the slope is:

a = (0 - 2)/(5 + 1) = -1/3

y = (-1/3)*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-1, 2)

2 = (-1/3)*-1 + b

2 = 1/3 + b

2 - 1/3 = b

5/3 = b

y = (-1/3)*x + 5/3

4) Here the points are (-5,-3) and (-3,5)

then the slope is:

a = (5 + 3)/(-3 + 5) = -4

y = -4*x + b

And to find the value of b, we just replace the values of one of the points in the equation, in this case i will use (-3, 5)

5 = -4*-3 + b

5 = 12 + b

5 - 12 = b

-7 = b

y = -4*x - 7

Now that we have all the equations, we can find the graphs.

where the colors are:

(4) green

(3) orange

(2) Blue

(1) Gray.

6 0
3 years ago
Which of the following is equal to 5 1/3
Andrews [41]

Answer:

C

Step-by-step explanation:

Using the rule of radicals/ exponents

a^{\frac{m}{n} } ⇔ \sqrt[n]{a^{m} }

Given

5^{\frac{1}{3} } = \sqrt[3]{5} → C

7 0
3 years ago
What is the length of the hypotenuse of the triangle when x=7?
Anika [276]

Answer:

c=57.8

Step-by-step explanation:

6*7+4=46

5*7=35

c= 46^2+35^2=57.80138

7 0
3 years ago
Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs
hichkok12 [17]

Answer:

Quinzel sold 17 pairs of shoes last month.

Step-by-step explanation:

Let be "Q" the number of pairs of shoes Quinzel sold last month and "J" the number of pairs of shoes Joseph sold last month.

Set up a system of equations:

\left \{ {{Q=J-18} \atop {Q+J=52} \right.

Solve for "J" from the first equation:

J=Q+18

Applying the Substitution Method, you get:

Q+J=52\\\\Q+(Q+18)=52\\\\2Q=52-18\\\\Q=\frac{34}{2} \\\\Q=17

7 0
3 years ago
Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of
lana [24]

Answer:

<em>The estimated sales were $260 million</em>

Step-by-step explanation:

Assume the endpoints of a segment are (x1,y1) and (x2,y2).

The midpoint (xm,ym) is calculated as follows:

\displaystyle x_m=\frac{x_1+x_2}{2}

\displaystyle y_m=\frac{y_1+y_2}{2}

The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:

\displaystyle x_m=\frac{2008+2010}{2}=2009

\displaystyle y_m=\frac{240+280}{2}=260

The estimated sales were $260 million

5 0
3 years ago
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