All categories

2 years ago

Which of the following shows of the slope of the line and one point on the line?

Mathematics

1 answer:

uysha [10]2 years ago

3 0

Answer is choice D

This is the only answer choice with a negative slope, so we don't even need to look at the point really. Though if you wanted, you can confirm that the point (1,-3) is on the diagonal line. This point is shown in red in the attached image.

To find that the slope is -6/5, you pick two points on the diagonal line and use the slope formula. Two points you can use are (1,-3) and (-4,3).
The slope formula is m = (y2-y1)/(x2-x1)

Note: The negative slope is because we move downhill as we move from left to right along the diagonal line.

You might be interested in

Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0

Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: $x^4+9x^2-4x^2-36$

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: $x^2(x^2+9)-4(x^2+9)$

Now you can rewrite this as $(x^2-4)(x^2+9)$ , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is $a^2-b^2=(a+b)(a-b)$ . Applying that here, we have $(x+2)(x-2)(x^2+9)$ . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: $2x^2+10x-x-5$

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: $2x(x+5)-1(x+5)$

Now you can rewrite the equation as $(2x-1)(x+5)$ . 2x^2 + 9x - 5 is completely factored.

<h3>Putting it all together, your factored expression is $(x+2)(x-2)(x^2+9)(2x-1)(x+5)=0$ </h3>

5 0

2 years ago

Which expression uses the greatest common factor and the distributive property to rewrite the sum 7 + 75

Lady_Fox [76]

Answer:

$75 + 45$ $= 15(3 + 5)$

Step-by-step explanation:

Given

$75 + 45$ -- Corrected

Required

Use the GCF to write it as a distributive property

First, we find the GCF of 75 and 45

$45 = 3 * 3 * 5$

$75 = 3 * 5 * 5$

The common factor is:

$GCF = 3 * 5$

$GCF = 15$

So, $75 + 45$ becomes

$75 + 45$ $= 15 * 3 + 15 * 5$

Factorize

$75 + 45$ $= 15(3 + 5)$

Hence, the sum has been rewritten as $15(3 + 5)$

5 0

2 years ago

What is 12 divided by 3/4

Tpy6a [65]

12 divided by 3/4 =
16

It is 16 because the reciprocal of 3/4 is 4/3 and 12 as a fraction is 12/1. So 12/1 x 4/3 is 48/3. And if you divide 48 by 3 you will get 16. If you don't get 16 then you did the wrong calculation.

Hope I Helped You!!! :-)

Have A Good Day!!!

8 0

3 years ago

Read 2 more answers

Leila, Charlie, and Joe have a total of $144 in their wallets. Joe has 4 times what Leila has. Charlie has $6 more than Leila. H

ollegr [7]

Answer:

The amounts of money each has are:

Joe = $92

Charlie = $29

Leila = $23

Step-by-step explanation:

To solve this, we will convert the statements into an equation, and use that to solve for the unknowns, as follows:

total amount = $144

Let Leila's share be S

Joe's share = 4 times Leila's = 4S

Charlie's share = $6 + Leila's share = 6 + S

Joe's share + Charlie's Share + Leila's Share = $144

4S + (6 + S) + S = 144

4S + 6 + S + S = 144

4S + 2S + 6 = 144

6S + 6 = 144

6S = 144 - 6 = 138

S = 138 ÷ 6 = $23

Therefore Leila's share 'S' = $23

Joe share= 4S = 4 × 23 = $92

Charlie's share = 6 + 23 = $29

8 0

3 years ago

X+5 divided by 3 is less than or equal to 2

hichkok12 [17]

$\frac{x+5}{3} \leq 2$
times both sides by 3
x+5≤6
minus 5 both sides
x≤1

5 0

3 years ago