MATHEMATICS HIGH SCHOOL

Write the equation of the line that passes through (5, 6) and (8, 4) in slope-intercept form.

Answers

Answer 1

Answer:

The equation the line is y = -2x/3 + 28/3

Given that are two points we need to find the equation of a line passing through it,

(5, 6) and (8, 4)

We know that an equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by =

y - y₁ = y₂-y₁ / x₂-x₁ (x-x₁)

Here (x₁, y₁) and (x₂, y₂) = (5, 6) and (8, 4)

y - 6 = 4-6 / 8-5 (x-5)

y - 6 = -2/3 (x-5)

y = -2/3 (x-5) + 6

y = -2x/3 + 10/3 + 6

y = -2x/3 + 28/3

Hence the equation the line is y = -2x/3 + 28/3

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Brenda observes that the keyboard and the screen of an open laptop lie on two different planes. In how many lines do the planes containing the keyboard and the screen intersect?

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Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)

Which is a true statement about an exterior angle of a triangle

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The true statement about an exterior angle of a triangle is C; It forms a linear pair with one of the interiior angles of the triangle .

What is the Exterior Angle of a Triangle Property?

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

We know that the exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.

The pair also rests on the same straight line and that makes a pairs.

Therefore we can say that it is formed by a linear pair with one of the interior angles of the triangle.

So, the correct answer would be C.

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Answer:

Step-by-step explanation:

The exterior angles are out of the triangle at all times and it adds up to make 180 with anyone of the inside angle of the triangle.

The pair also rests on the same flat/straight line and that makes a pair.

Therefore we can say that it is formed by a linear pair/group with one of the interior/inside angles of the triangle.

So, the correct answer would be D.

Jamie had 20 marbles 5 marbles were green and 15 were blue what percent of the marbles were blue?

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Answer:

Step-by-step explanation:

15/20 X 100% = 75%

Therefore 75% of marbles were blue

Solve the equation for y.

4x – 5y = 9

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The equation of y for that expression would be y = (-4x+9)/-5.

PLEASE HELP!!! This is due today and I don’t understand can someone please tell me.

Answers

Answer:

the answer would be 135 meters

Step-by-step explanation:

If, to scale on a map, 1 centimeter is 3.5 meters, them 2 centimeters is 7 meters. so on and so forth until 30. 30 (centimeters) times 3.5 (meters) is 135. hope this helped!!!!! reply if this doesn't make sense

Find the value of n such that x^2-19x n is a perfect square trinomial.Answer choices:
A. -19/2
B. 361/4
C. 361
D. 361/2