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2 years ago

Graph the line with slope 1/4 and y-intercept -8

Mathematics

2 answers:

tigry1 [53]2 years ago

6 0

Answer:

Image attached below

Step-by-step explanation:

The line should cross y axis as -8 and should have a point of (0,-8)

The line should have a gradient / slope of 1/4

kherson [118]2 years ago

5 0

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

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Hope I helped, best wishes & happy studies!

Please reach out to me if any queries arise.

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Mr. Holms used 4/5 of a carton of orange juice he used equal amount of the leftover juice for 2 servings what fraction of the wh

liq [111]

Answer:

Mr. Holms used 1/10 of the whole carton for each serving.

Step-by-step explanation:

Mr. Holms used 4/5 of the carton, which means he has 1/5 of the carton remaining from a whole carton and if he divides 1/5 among 2 servings he gets 1/5 divided by 2 is 1/10.

Check Your Answer: 4/5 divided among 2 servings would be 4/5+ 1/10 + 1/10 = 8/10 + 1/10 + 1/10 = 10/10 = 1 whole carton.

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2 years ago

Select the two values of x that are roots of this equation.

laila [671]

Answer:

x = - $\frac{5}{3}$ , x = 1

Step-by-step explanation:

Given

2x - 5 = - 3x² ( add 3x² to both sides )

3x² + 2x - 5 = 0 ← in standard form

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 5 = - 15 and sum = + 2

The factors are - 3 and + 5

Use these factors to split the x- term

3x² - 3x + 5x - 5 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) + 5(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

3x + 5 = 0 ⇒ 3x = - 5 ⇒ x = - $\frac{5}{3}$

x - 1 = 0 ⇒ x = 1

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3 years ago

A high-speed boat has four 325.0 kW motors. How much work is done in 25 seconds by the motors?

iVinArrow [24]

D is the correct answer

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4 years ago

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4 years ago

Find the answer<br> 29°<br> 36°<br> 49°<br> 61°

Alla [95]

<h3>Answer: Choice A, 29 degrees</h3>

Central angle CBA is a right angle, so it is 90 degrees. This means the arc measure from A to C, following the shortest path on the curve, is 90 degrees. This is minor arc CA. A minor arc is one that is less than 180 degrees in measure.

We want to find the measure of minor arc DE. This is the last piece of the puzzle, so to speak, that forms the entire arc ACD. This arc is 180 degrees because AD is a diameter.

So,

(minor arc DE) + (minor arc EC) + (minor arc CA) = arc ACD

x + 61 + 90 = 180

x + 151 = 180

x + 151 - 151 = 180 - 151 .... subtract 151 from both sides

x = 29

Minor arc DE is 29 degrees.

Check out the attached image below if you're still stuck. Hopefully the image clears any confusion you may have.

5 0

4 years ago