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nasty-shy [4]
2 years ago
12

Find the equation of a line that passes through (2,8) and is parallel to the graph of y=2x+6. Write the equation in slope-interc

ept form, if possible.
Mathematics
1 answer:
Rashid [163]2 years ago
3 0

Answer:

The equation of a parallel line would be y = 2x + 4

Step-by-step explanation:

In order to find the equation of this line, we first have to note that paralell lines have same slopes. Therefore, since the original line has a slope of 2, we know the new line will have a slope of 2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = 2(x - 2)

y - 8 = 2x - 4

y = 2x + 4

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What is the area of this trapezoid?
Misha Larkins [42]

Answer:

132 in

Step-by-step explanation:

rectangle- 12(8)=96

triangle 1- 3(12)= 36 divide by 2 = 18

triangle 2- same as tri. 1

rapeziod- 96+18+18=132

4 0
3 years ago
The Bermuda Triangle is roughly defined by Hamilton, Bermuda; San Juan, Puerto Rico; and Fort Lauderdale, Florida. The distances
zloy xaker [14]

Answer:

442554 square miles

Step-by-step explanation:

The area of a triangle is given by :

0.5*A*B*Sin(∅) where A and B are two sides and ∅ is the angle between them.

We will find ∅ by applying cosine rule:

c^2 = a^2 + b^2 − 2ab cos(∅)

Where ∅ is angle between sides a and b.

In this example:

a=1028, b=1046, c= 965

Plugging in the values, we get ∅=55.4°

Applying the formula for Area:

0.5*A*B*Sin(∅)

0.5*1028*1046*Sin(55.4)= 442554 square miles

8 0
3 years ago
Proving triangle similarity given QR PT and QPR STR prove PQR TSR
Vikki [24]

Answer:

1. QR- PT given

2. <QPR=<STR given

3. <QRP and <SRT (are right angles) def. of perpendicular

4. <QRP = <SRT all right angles are =

5. PQR~ TSR AA similarity theorem

Step-by-step explanation:

edge 2021

3 0
3 years ago
Read 2 more answers
Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.
GenaCL600 [577]
Easy
sub 2 for x

f(2)=2(2)^3-3(2)^2+7
f(2)=2(8)-3(4)+7
f(2)=16-12+7
f(2)=11
4 0
3 years ago
An investigator examined cases of fetal death in 27,000 pregnancies and classified mothers according to whether they had experie
MariettaO [177]

Answer:

Correlation does not imply causation

Step-by-step explanation:

Correlation is a statistical technique which shows how strongly a pair of variables are linearly related and change together.

Causation says that the change in one value will cause the other to change, making one variable dependent on the other.

Examples of correlation with causation are:

a) ice cream sales and summer temperatures

b) forest fires and summer temperatures

An example of correlation without causation is ice cream sales and forest fires. While they both increase as temperatures increase, ice cream sales are not CAUSING the forest fires.

From the information available it can be suggested that there is a correlation between sexual intercourse within a month prior to delivery as there is a higher number of fetus deaths to mothers who had sexual intercourse within a month prior to delivery. However, there is no information which shows the sexual intercourse caused the deaths. Additionally, 89% of the mothers of fetuses who died DID NOT have sexual intercourse within a month prior to delivery, thus even the correlation is weak in this case.

7 0
3 years ago
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