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2 years ago

Plot each point that is a horizontal distance of 6 and a vertical distance of 2 from the origin.

1 answer:

3 0

The points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

<h3>What are points?</h3>

Points are undefined terms in geometry, however they are used to represent the coordinate or location of items in a coordinate plane

<h3>How to plot the point?</h3>

The features of the point are given as:

Horizontal distance = 6

Vertical distance = 2

The above means that:

x = 6

y = 2

The points are then represented as:

(x, y) = ±(x. y)

So, we have

(x, y) = ±(6, 2)

When the above equation is expanded, we have

(x, y) = (6, 2), (-6, 2), (6, -2), (-6, -2)

Next, we plot the points on a coordinate plane

See attachment for the graph of the plane

Hence. the points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)

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Geraldine has 8 cups of sugar. She uses 6 3/5 cups to make a large cake. How many cups of sugar does she have left?

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Answer:

$1\frac{2}{5}$

Step-by-step explanation:

remaining cups = total cups - used caps

let remaining cups be = x

total cups = y = 8

used cups = z= $6\frac{3}{5}$

Hence x = y-z

x = 8 - $6\frac{3}{5}$

= $\frac{8}{1}$ - $\frac{33}{5}$ = $\frac{40-33}{5}$ = $\frac{7}{5}$ = $1\frac{2}{5}$

x= $1\frac{2}{5}$

Remaining cups = $1\frac{2}{5}$

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3 years ago

Which of the following is the solution to 17 - 2x = -11?

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-28=-2x
Divide by negative 2
Your answer: x=14

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3 years ago

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Rick is buying a t-shirt and a sweater.The sweater costs 3 times as much as the t-shirt.The cost of the sweater is 27$. How much

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Answer:

Step-by-step explanation:

The way you undo multiplication is division. If the sweater costs 27$, you divide that by 3 to get a third of the cost.

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4 years ago

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Fast forward a few years...and suppose you need to get your car repaired. You see the ads above. Your father, who knows a bit ab

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Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired

-Mike Cost:: M(3) = 100 +65*3 = $295

-Amy Cost:: A(3) = 40 + 80*3 = $280

------------------------------------------------------------

-Mike charges 100 dollars service charge plus 65 dollars per hour.

-Amy charges 40 dollars service charge plus 80 dollars per hour.

-The cost to repair from mike is 100 + 65 * x.

-The cost to repair from amy is 40 + 80 * x.

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Let x = 3 and you get:

The cost to repair from mike is 100 + 65 * 3 = 295 dollars.

The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.

As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.

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3 years ago

Angle GHI and angle JHI are supplementary. Angle GHI measures (28x + 40)° and angle JHI measures (7x)°. What is the measure of a

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Two angles are supplementary if their sum is 180 degrees.

Here we are given:

Angle GHI measures (28x + 40)° and angle JHI measures (7x)°.

Sum of angle GHI and JHI is 180.

$angle GHI + angle JHI = 180$

$(28x + 40) + (7x) = 180$

$35x = 140$

dividing both sides by 35,

x=4

Now let us find angle JHI

angle JHI = 7x = 7*4 =28

Answer : Angle JHI is 28 degrees.

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4 years ago

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