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Komok [63]
3 years ago
9

Write an equation of the line that passes through (1,5) and is perpendicular to the line shown

Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0
The line on the graph is y = 3x + 3.
Perpendicular to the line is y = 3x + 1.
y = 3x + 1 also passes through (1, 5).

Answer:
y = 3x + 1
zysi [14]3 years ago
6 0

Answer:

y = 3x + 1

Step-by-step explanation:

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A family has two cars. The first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiency of
Marizza181 [45]
The first car went through 32.5 gallons and the second car went through 37.14 gallons of gas.
6 0
3 years ago
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
The table shows the length of four tracks on an album and the total number of beats in that song.
swat32

Track 1, Track 3, Track 2, Track 4

3 0
3 years ago
G(x)=17-2/3x;g(6)<br><br> please help me i only have 5 mins left
marishachu [46]

Answer:

13

Step-by-step explanation:

17 - 2/3(6)

17 - 4

13

sub in 6 for x to find g(6) instead of g(x)

4 0
3 years ago
Cassandra assigns values to some of the measures of triangle ABC. If angle A measures 30°, a = 6, and b = 18, which is true?
Anna [14]

Answer:

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

Step-by-step explanation:

we know that

step 1

Find the measure of angle B

Applying the law of sines

\frac{sin(A)}{a}=\frac{sin(B)}{b}

we have

A=30\°

sin(30\°)=1/2

a=6\ units

b=18\ units

substitute

\frac{(1/2)}{6}=\frac{sin(B)}{18}

\frac{1}{12}=\frac{sin(B)}{18}

sin(B)=\frac{18}{12}

sin(B)=\frac{3}{2}=1.5

Remember that the value of sine can not be greater than 1

therefore

The triangle does not exist because sin(A)/a can not be equal to sin(B)/b

8 0
3 years ago
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