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4 years ago

5. Consider the following equations.

Mathematics

1 answer:

WITCHER [35]4 years ago

3 0

Answer:

Step-by-step explanation:

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

4x - 2y = -6

-2y = -4x- 6

y = (-4/-2)x -(6/-2)

y = 2x + 3....slope here is 2, and y int is 3

3x + y = 3

y = -3x + 3.....slope here is -3, and y int is 3

B. slopes are different, y intercepts are the same

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GEOMETRY:

iragen [17]

Answer:

See explanation

Step-by-step explanation:

∠POR is congruent to ∠VOE because they are vertical angles

∠PRV is congruent to ∠RVE because alternate interior angles are congruent when the lines are parallel.

VO is congruent to OR which is given

Therefore, ΔPRO is congruent to ΔEVO by the angle-side-angle theorem

So, PR is congruent to VE because corresponding parts of congruent triangles are congruent

6 0

3 years ago

Find m+n <br><br> pls help !!!

podryga [215]

Answer:

m + n = 140

===============

<h3>Given</h3>

Two parallel lines,
Included triangle between the parallel lines,
Two interior angles of the triangle are m and n,
Another angle of 40°.

The sum of angles m and n

<h3>Solution</h3>

As per given, the missing interior angle is corresponding with 40° angle.

Since corresponding angles are equal, the third interior angle of the triangle is 40°.

Sum of three interior angles is 180°:

m + n + 40 = 180
m + n = 180 - 40
m + n = 140

7 0

2 years ago

Read 2 more answers

A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the

Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other) point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

$tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}$

Which gives;

$tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}$

$Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}$

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0

2 years ago

Please help!!! I would like an explanation along with your answer. Thanks

Korvikt [17]

Answer:

x = 12/13

BC = 140/13

Step-by-step explanation:

If A is the mipoint of BC, then AB is half of BC.

AB = BC / 2

8x − 2 = (3x + 8) / 2

16x − 4 = 3x + 8

13x = 12

x = 12/13

BC = 3x + 8

BC = 3 (12/13) + 8

BC = 36/13 + 104/13

BC = 140/13

4 0

4 years ago

W(x)=4x+5, find w(-8)

Genrish500 [490]

Just Put -8 in for X 4(-8)+5 goes to -32+5 to 27

3 0

3 years ago

Read 2 more answers