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2 years ago

Which is the slope of the line that passes through the points (2,-2) and (8,6)?

Mathematics

1 answer:

irinina [24]2 years ago

5 0

Answer:

y = 4/3x - 14/3

Step-by-step explanation:

y2 - y1/ x2 - x1

6 - (-2) / 8 - 2

4/3

y = 4/3x + b

-2 = 4/3(2) + b

-2 = 8/3 + b

-14/3 = b

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Suppose that LMN is isosceles with base LN suppose that M

ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

$m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ$

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

$LM=MN$ (Given)

$m\angle N=m\angle L=(2x+36)^\circ$ (Base angles of an isosceles triangle are equal)

Now,

$m\angle L+m\angle M+m\angle N=180^\circ$

$(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ$

$(7x+89)^\circ=180^\circ$

$(7x+89)=180$

On further simplification, we get

$7x=180-89$

$7x=91$

$x=\dfrac{91}{7}$

$x=13$

The value of x is 13. Using this value, we get

$m\angle L=(2(13)+36)^\circ$

$m\angle L=(26+36)^\circ$

$m\angle L=62^\circ$

Similarly,

$m\angle M=(3(13)+17)^\circ$

$m\angle M=(39+17)^\circ$

$m\angle M=56^\circ$

And,

$m\angle N=m\angle L$

$m\angle N=62^\circ$

Therefore, the measure of angles are $m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ$ .

5 0

3 years ago

Is the word addition a collective, abstract or concrete noun?

Semenov [28]

Answer:

Should be a collective noun.

For example: In addition to those...

4 0

2 years ago

I have no clue what the answer is

spin [16.1K]

Answer:

Second option is the correct answer.

Step-by-step explanation:

$\frac{2}{3} x - 5 > 3 \\ \\ \frac{2}{3} x > 5 + 3\\ \\ \frac{2}{3} x > 8 \\ \\ x > 8 \times \frac{3}{2} \\ \\ x > 12$

7 0

2 years ago

Find the distance that the earth travels in eight days in its path around the sun. assume that a year has 365 days and that the

lora16 [44]

The speed of earth will be found as follows:
speed=distance/time
distance=93 million
time=365
speed=(93)/365=254, 794.5205 mi/day
thus distance moved for 8 days will be:
distance=speed*time
=(254794.5205)×8
=2,038,356.164 miles

5 0

3 years ago

Which system of equations is represented by the graph?

REY [17]

Answer:

-6

Step-by-step explanation:

is it

5 0

2 years ago