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1 year ago

3. Factor the following trinomial. x^2 - 15x + 56.

Mathematics

2 answers:

makkiz [27]1 year ago

8 0

Answer:

(x-7) (x-8)

Step-by-step explanation:

Break the expression into groups:

= x(x-7) -8(x-7)

Factor out x from:

x^2-7x x(x-7)

Factor out -8 from -8x+56:

-8(x-7)

=x\left(x-7\right)-8\left(x-7\right)

Margaret [11]1 year ago

5 0

Answer:

(-7, -8)

Step-by-step explanation:

Yes, this is the same answer as the other person, but I just included the other factors, a picture of my table, and the answer to part two is "The pair (-7, -8) equal the coefficient of the x-term in the trinomial."

Have a great day, I hope this helps you or anyone else who might've needed this!

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Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

<u>(a) Length of AB</u>

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

<u>(b) Are AB and CD congruent</u>

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

<u>(c) AB bisects CD or not?</u>

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

<u>(d) CD bisects AB or not?</u>

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

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2 years ago

Write a problem to fit this equation 2K + 5 =29

Degger [83]

2K + 5 = 29

(2 x K) + 5 = 29

29 - 5 = 24

24 divided by 2 = 12 (This is K)

K = 12

(2 x 12) + 5 = 29

24 + 5 = 29

6 0

2 years ago

What can I do to get my experimental probability closer to the theoretical probability?

Degger [83]

Answer:

The more trials you carry out

Step-by-step explanation:

(for example, the more times you toss the coin), the closer the experimental probability is likely to be to the theoretical probability.

8 0

1 year ago

Guys omg please someone answer this asap this is due tmmr

MrRissso [65]

Answer:

First, break the shape into smaller shapes.

Bigger rectangle: 5m, 8m

Thin rectangle: 7m, 3m

Thinner rectangle: 8m, 2m

We will call the bigger rectangle <u>B</u>, the thin rectangle <u>R</u>, and the thinner rectangle <u>r</u>.

Step-by-step explanation:

B = 8 • 5 = 40

R = 7 • 3 = 21

r = 2 • 8 = 16

Add the areas together:

40 + 21 + 16 = 77

Therefore, the area is <u>77 meters.</u>

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1 year ago

4. 150 men working in a factory produce 6000 articles in 15 working days. How long will it take, a. 50 men to produce the 6000 a

sergiy2304 [10]

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1 year ago