The equation of the perpendicular line
The equation of the perpendicular line - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

First we need to find the point that the perpendicular line goes through on this line segment. The problem says it's a perpendicular bisector, which means it goes through the middle of the line, which means the point it goes through is halfway between (4, 4) and (-8, 8). This point would be (-2, 6).

Next, we need to find the slope of the perpendicular line. We know that if the slope of the line segment we're given is m, then the slope of the line perpendicular to this line segment is (-1)/(m).

The slope of the line segment can be found by the following:

(8 - 4)/(-8 - 4)

(4)/(-12)

(-1)/(3)

This means that the slope of the perpendicular line is 3.

The equation of a line is y = mx + b, were m is the slope and b is the Y-intercept.

We know the slope, we so we just need to determine the Y-intercept. To do so, we can plug in a point that we know the line goes through, (-2, 6), and solve for b:

6 = (3)(-2) + b

6 = -6 + b

b = 12

Finally, the equation of the line is

y = 3x + 12


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What is the initial value of the function represented by this graph

Answers

Answer:

The initial value of the function is 5

Step-by-step explanation:

we know that

The initial value of the function, is the value of the function when the value of x is equal to zero (the y-intercept)

In this problem

Observing the graph

The y-intercept is the point (05)

therefore

The value of the function for x equal to zero is 5

the total weight of the medals won by the top medal-winning nations in the 2012 London Olympic Games.

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22222222222222222222222222222222222222222222222222222222223333333333333333333333333333,221

PLEASE HELP ME!!! 30 POINTS!!!As a part of the life cycle of plants, the plant must begin with an embryo. What statement best describes where the embryo can be found in flowering and non-flowering plants?

A. In a flowering plant, the embryo is in seeds found in the flower, and in non-flowering plants, the embryo is in seeds found in the cone.

B. In a non-flowering plant, the embryo is in spores found in the stem, and in a flowering plant, the embryo is in seeds found in the flower.

C. In a non-flowering plant, the embryo is in seeds in the leaves, and in a flowering plant, the embryo is in seeds found in the spores.

D. In a flowering plant, the embryo is in spores found in the flower, and in a non-flowering plant, the embryo is in seeds found in the spores.

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Answer:

I have not read it but

Step-by-step explanation:

i think the A is right answer.

Someone please help me make a proof for the bottom question

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Answer:

DB = CA (Proved)

Step-by-step explanation:

Statement 1.

∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2

Reason 1.  

Given

Statement 2.

Between Δ DBM and Δ CAM,  

(i) DM = CM,

(ii) ∠D = ∠C  and  

(iii) ∠DMB = ∠CMA

Reason 2.

(i) given  

(ii) given and  

(iii) ∠ DMB = ∠1 + ∠AMB and  ∠CMA = ∠2 + ∠AMB

Since ∠1 = ∠2, so, ∠DMB = ∠CMA.

Statement 3.

Δ DBM ≅ Δ CAM

Reason 3.

By angle-side-angle rule.

Statement 4.

DB = CA

Reason 4.

Corresponding sides of two congruent triangles. (Answer)

Regular pentagon

sides 3.3 cm long

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3.3 x 5 = 16.5 cm
Happy to Help!

Help me pleas help me please

Answers

There are 13 time slots

would it be 3? just curious