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3 years ago

Factor the expression. 2x^2-7x-15

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

Factor by grouping

(2x+3) (x-5)

Step-by-step explanation:

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Trump or Joe Biden?

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Answer:

trump

Step-by-step explanation:

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3 years ago

Read 2 more answers

Miss wilson has 32 students in her classroom, and all of them completed their reading assignments in january. each read 20 pages

Damm [24]

19,840 pages. You must multiply 20 pages by 31 days which gives you a product of 620 pages. This is the amount of pages each student reads in the month of January. Then, you must multiply 620 pages by 32 students and get a product of 19,840 pages in all.

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3 years ago

Find the distance between the point (-2, -3) and the line with the equation y=4-2/3x

otez555 [7]

Answer:

$D = \frac{25\sqrt{13}}{13}$

Step-by-step explanation:

Given

$y = 4 - \frac{2}{3}x$

$(x_1,y_1) = (-2,-3)$

Required

Determine the distance

$y = 4 - \frac{2}{3}x$

Write the above equation in standard form:

$Ax + By + C = 0$

So, we have:

$\frac{2}{3}x+y - 4 = 0$

By comparison:

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

The distance is calculated using:

$D = \frac{|Ax_1 + By_1 + C|}{\sqrt{A^2 + B^2}}$

Where:

$(x_1,y_1) = (-2,-3)$

$A = \frac{2}{3}$ $B = 1$ and $C = -4$

This gives:

$D = \frac{|\frac{2}{3} * (-2) + 1 * (-3) - 4|}{\sqrt{(\frac{2}{3})^2 + 1^2}}$

$D = \frac{|-\frac{4}{3} -3 - 4|}{\sqrt{\frac{4}{9} + 1}}$

Take LCM

$D = \frac{|\frac{-4-9-12}{3}|}{\sqrt{\frac{4+9}{9}}}$

$D = \frac{|\frac{-25}{3}|}{\sqrt{\frac{13}{9}}}$

$D = |\frac{-25}{3}|/\sqrt{\frac{13}{9}}$

$D = \frac{25}{3}/\sqrt{\frac{13}{9}}$

Split the square root

$D = \frac{25}{3}/\frac{\sqrt{13}}{\sqrt{9}}$

Change / to *

$D = \frac{25}{3}*\frac{\sqrt{9}}{\sqrt{13}}$

$D = \frac{25}{3}*\frac{3}{\sqrt{13}}$

$D = \frac{25}{\sqrt{13}}$

Rationalize

$D = \frac{25}{\sqrt{13}} * \frac{\sqrt{13}}{\sqrt{13}}$

$D = \frac{25\sqrt{13}}{13}$

Hence, the distance is:

$D = \frac{25\sqrt{13}}{13}$

4 0

3 years ago

Perform the following division. Be sure answers are reduced to lowest terms. 2 7/8 ÷ 1/4 =

sergejj [24]

The answer is: [D]: 11 1/2 .
___________________________________________________________
Explanation:
___________________________________________________________
2 7/8 <span>÷ 1/4 =

23/8 </span>÷ 1/4 = 23/8 * 4/1 ; The "4" cancels to a "1"; and the "8"
cancels to a "2"; (since "8÷4 =2" ;
and "4÷4 = 1" ;
__________________________________________________________
→ 23/8 * 4/1 = 23/2 * 1/1 = 23/2 * 1 = 23/2 = 11 1/2 ;
__________________________________________________________
→ which is: Answer choice: [D].
__________________________________________________________

4 0

3 years ago

Which of the following is a correct interpretation of the expression 6 - 136−, minus, 13?

Darina [25.2K]

Answer:

(Choice A)

Start at 131313 on the number line and move 666 to the left.

Step-by-step explanation:

6 0

3 years ago