X^2-7x+38=5x+3
x^2-7x+38-5x-3=5x+3-5x-3
x^2-12x+35=0
Factoring:
(x-5)(x-7)=0
Two solutions:
x-5=0→x-5+5=0+5→x=5
x-7=0→x-7+7=0+7→x=7
Answer: x=5 and x=7

Answer: Options B. 7 and D. 5

3 0

2 years ago

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The endpoints of (MP)are M(2,1) and P(12,6). If point K partitions (MP) in a ratio of MK:KP = 3:2, what are the coordinates of K

GREYUIT [131]

Answer:

K(8, 4)

Step-by-step explanation:

Given:

M(2, 1), P(12, 6)

MK:KP = 3:2

Required:

Coordinates of K

SOLUTION:

Coordinates of K can be determined using the formula below:

$x = \frac{mx_2 + nx_1}{m + n}$

$y = \frac{my_2 + ny_1}{m + n}$

Where,

$M(2, 1) = (x_1, y_1)$

$P(12, 6) = (x_2, y_2)$

$m = 3, n = 2$

Plug in the necessary values to find the coordinates of K:

$x = \frac{mx_2 + nx_1}{m + n}$

$x = \frac{3(12) + 2(2)}{3 + 2}$

$x = \frac{36 + 4}{5}$

$x = \frac{40}{5}$

$x = 8$

$y = \frac{my_2 + ny_1}{m + n}$

$y = \frac{3(6) + 2(1)}{3 + 2}$

$y = \frac{18 + 2}{5}$

$y = \frac{20}{5}$

$y = 4$

The coordinates of K = (8, 4)

3 0

2 years ago

How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?

fiasKO [112]

Answer:

Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.

Step-by-step explanation:

3 0

2 years ago

Help me I HATE MATH!!!

dsp73

Answer:

2, 3, ,6 ,9. (YOUR ANSWER)

All numbers listed below!

15282 ÷ 1 = 15282

15282 ÷ 2 = 7641

15282 ÷ 3 = 5094

15282 ÷ 6 = 2547

15282 ÷ 9 = 1698

15282 ÷ 18 = 849

15282 ÷ 27 = 566

15282 ÷ 54 = 283

15282 ÷ 283 = 54

15282 ÷ 566 = 27

15282 ÷ 849 = 18

15282 ÷ 1698 = 9

15282 ÷ 2547 = 6

15282 ÷ 5094 = 3

15282 ÷ 7641 = 2

15282 ÷ 15282 = 1

4 0

2 years ago

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