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1 year ago

What is the slope of the line that passes through the points (-9, 8) and (−21,10)

Mathematics

2 answers:

leva [86]1 year ago

7 0

Answer:

slope = -1/6

Step-by-step explanation:

To find the slope:

1) find the change in the y values and the change in the x values.

change in y = 8 - 10 = -2

change in x = -9 + 21 = 12

2) divide the change in y and the change in x

slope = -2/12 = -1/6

rosijanka [135]1 year ago

3 0

Answer:

-1/6

Step-by-step explanation:

(10 - 8)/(-21 + 9)= 12/-12= -1

y - 8 = -1(x + 9)

y - 8 = -x - 9

y = -x - 1

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Firdavs [7]

Given:

A figure of a parallelogram.

The vertex angles are $(12b+8)^\circ,(5b+2)^\circ,2a^\circ$ .

To find:

The values of a and b.

Solution:

We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.

$(12b+8)^\circ+(5b+2)^\circ=180^\circ$ (Supplementary angles)

$(17b+10)^\circ=180^\circ$

$17b+10=180$

Subtract 10 from both sides.

$17b=180-10$

$17b=170$

Divide both sides by 17.

$b=\dfrac{170}{17}$

$b=10$

Now,

$(5b+2)^\circ=(5(10)+2)^\circ$

$(5b+2)^\circ=(50+2)^\circ$

$(5b+2)^\circ=52^\circ$

And,

$(5b+2)^\circ+2a^\circ=180^\circ$ (Supplementary angles)

$52^\circ+2a^\circ=180^\circ$

$2a^\circ=180^\circ-52^\circ$

$2a^\circ=128^\circ$

Divide both sides by 2.

$a^\circ=\dfrac{128^\circ}{2}$

$a^\circ=64^\circ$

$a=64$

Therefore, the value of a is 64 and the value of b is 10.

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2 years ago

Is quadrilateral ABCD a square? Show your work.

stepladder [879]

Answer:

yes

Step-by-step explanation:

yes, the slope and distance from each side is equal to another

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2 years ago

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natima [27]

See the attached picture for the answers.

5 0

2 years ago

True or False: The range of a logarithmic function is always all real numbers.

Readme [11.4K]

Answer: true!

Step-by-step explanation: i do not know but true!

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2 years ago

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Given P(x) = 2x3+ 3x2- x + 4, find P(0) and P(-2).

pshichka [43]

9514 1404 393

Answer:

P(0) = 4

P(-2) = 2

Step-by-step explanation:

Put the value where the variable is and do the arithmetic.

P(0) = 2·0³ +3·0² -0 +4

P(0) = 4

P(-2) = 2·(-2)³ +3·(-2)² -(-2) +4 = 2(-8) +3(4) +2 +4

P(-2) = -16 +12 +2 +4

P(-2) = 2

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2 years ago