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3 years ago

What is the value of x

Mathematics

1 answer:

Arisa [49]3 years ago

7 0

C. 13

In the circle, angle F is an inscribed angle. The arc measure of an inscribed angle is the inscribed angle times 2. So you set up the equation as;

(6x-8)2=10x+10

Distribute

12x-16=10x+10

Add 16 on both sides

12x=10x+26

Subtract 10x from both sides

2x=26

Divide 2 from both sides

X=13

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What is the value of y in the system of equations 6x-y=2 and 4x-y=-8

uysha [10]

Answer:

y=28

Step-by-step explanation:

6x-y=2

-y=2-6x

y=6x-2

4x-(6x-2)=-8

4x-6x+2=-8

-2x=-10

x=5

y=6*5-2=30-2=28

y=28

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2 years ago

A fish market bought two swordfish at a rate of $13 per pound. the cost of the larger fish was 3 times as great as the cost of t

oksano4ka [1.4K]

Very simple. divide 3952 by 4, because the larger fish is 3 times the amount of the small fish, so there are 4 groups. Multiply it by 3 for the larger fish and keep it for the small fish. Then, divide the products by 13 because the quotient is the amount of money each fish costs. There you have your answer!

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3 years ago

Read 2 more answers

1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her j

ArbitrLikvidat [17]

Answer:

Part 1) Option A. f of x equals one half times x plus 16

Part 2) Option A. x = 5

Part 3) Option C. x − 4y = −9

Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.

Step-by-step explanation:

Part 1)

Let

x -----> the number of months

y ----> vertical jump in inches

step 1

Find the slope

we have the points

(0,16) and (2,17)

$m=(17-16)/(2-0)=\frac{1}{2}$

The equation of the line in slope intercept form is

$y=mx+b$

we have

$m=\frac{1}{2}$

$b=16$ -----> the point (0,16) is the y-intercept

substitute

$y=\frac{1}{2}x+16$

convert to function notation

f(x)=y

$f(x)=\frac{1}{2}x+16$

Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?

step 1

Find the slope

we have the points

(5, 0) and (5, −2)

$m=(-2-0)/(5-5)=\frac{-2}{0}$

the slope is undefined

This is a vertical line (parallel to the y-axis)

therefore

The equation is

x=5

Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)

step 1

Find the slope

we have the points

(−1, 2) and (3, 1)

$m=(1-2)/(3+1)=-\frac{1}{4}$

step 2

Find the equation of the line into point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{4}$

$point\ (3, 1)$

substitute

$y-1=-\frac{1}{4}(x-5)$

Convert to standard form

Multiply by 4 both sides to remove the fraction

$4y-4=-(x-5)$

$4y-4=-x+5$

$x-4y=-4-5$

$x-4y=-9$

Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario

we know that

The <u>independent variable</u> is the variable whose change isn’t affected by any other variable (An example the age and time)

The <u>dependent variable</u> it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))

Let

x ----> the number of rides

y ----> the total cost in dollars

In this problem

The independent variable or input is the number of rides

The dependent variable or output is the total cost

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3 years ago

Write the standard form of the line that contains a slope of -3/8 and passes through the point (5,-4)

Lilit [14]

By using y=mx+b you get y=-3/8x-17/8

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3 years ago

On Saturday Keisha ran 2.758 kilometers. On Sunday she ran 1.78 kilometers. How Much farther did she run on Saturday than on Sun

Sonja [21]

0.978 is the answer plz tell me if it helped xD

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3 years ago

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