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2 years ago

What is the equation of the line graphed below?

Mathematics

2 answers:

Verdich [7]2 years ago

8 0

1/2x + y = 3

Solve the equation to put it in slope intercept form. (y=mx+b)

1/2x + y = 3

Subtract 1/2x from both sides.

y = -1/2x + 3

The y-intercept (where the line crosses the y-axis) is three and the slope (rise over run) is -1/2.

Hope this helps!

tangare [24]2 years ago

3 0

Answer: A. $\dfrac{1}{2}x+y=3$

Step-by-step explanation:

The equation of a line passing through two points (a,b) and (c,d) is given by :-

$(y-b)=\dfrac{d-b}{c-a}(x-a)$

Then the equation of a line passing through two points (0,3) and (6,0) is given by :-

$(y-3)=\dfrac{0-3}{6-0}(x-0)\\\\\Rightarrow\ y-3=\dfrac{-1}{2}x\\\\\Rightarrow\ \dfrac{1}{2}x+y=3$

Hence, the equation which is graphed in the given picture :-

$\dfrac{1}{2}x+y=3$

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True or False? A circle could be circumscribed about the quadrilateral below.

SVEN [57.7K]

Answer:

The correct answer is: False

Step-by-step explanation:

If the sum of the opposite angles in a quadrilateral is 180°, then a circle can be circumscribed about the quadrilateral.

Here, $\angle B+\angle D= 110\°+90\° = 180\°$

but, $\angle A+\angle C= 70\°+90\°= 160\°$

So, a circle can't be circumscribed about the given quadrilateral.

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2 years ago

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The pie chart below shows the percentage of total revenue that a publisher receives from various types of publications. Use this

liberstina [14]

Answer:

a. Cookbooks

b. 50%

c. 30%

Step-by-step explanation:

According To the Question,

We have a total revenue of a publisher describe in a circle (360°).

a. Now, Approximately Cookbooks & Textbooks revenue Form 180°, but textbook revenue is more than cookbooks as clearly visible in the diagram

Thus, cookbooks are less than 90°.

Now, we have to find 1/5th of total publisher revenue which is 360°/5= 72°. & the Cookbooks is nearest to 72° ( less than 90°)

So, Answer For (a) is Cookbooks

b. Here in Diagram Clearly Visible that The Cookbooks & Textbooks Revenue Form 180° which is Approximately 50% of total Publisher's Revenue.

So, the Total Revenue Comes From Textbooks & Cookbooks is 50%.

c. Now We know the Cookbooks + Textbooks Revenue form 180° Approximately & Cookbook is approximately equal to 72° (as we solve above)

So, textbooks are 180°-72° = 108°, which is 30% of 360° ∴ 30% Revenue Come From Textbooks.

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2 years ago

Lin has 13 coins in her pocket that equal 40 cents. All the coins are dimes, d, and pennies, p. Which combination of coins does

Luden [163]

To answer this question you should begin with the coin that has a higher value. If you start with the dime and then just add the correct number of pennies to total $0.40, you will see that you will need 3 dimes ($0.30) and 10 pennies ($0.10).

I used a guess and check strategy starting with 2 dimes.

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2 years ago

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Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c

enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

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2 years ago

A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could repre

kiruha [24]

The correct answer is:

The last graph.

Explanation:

The leaf starts at 12 feet above the ground. This eliminates the first and third graph, leaving the second and last.

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On the second graph, when we go over to 4 seconds and then up, the line is at 10 feet; this means it fell 2 feet in 4 seconds. This is too fast.

On the last graph, going over to 4 seconds and then up, the line is at 11 feet; this means it fell 1 foot in 4 seconds. This is correct.

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