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inessss [21]
2 years ago
9

A line passes through the point (4,3) and has a slope of 9/2. find the equation of the line

Mathematics
1 answer:
kati45 [8]2 years ago
4 0

Answer:

y=(9/2)x-15

Step-by-step explanation:

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Carlos drove to the train station and back. The trip there took five hours and the trip back took four hours. What was Carlos' a
katrin2010 [14]

Answer: 54.4 mph

Step-by-step explanation:

First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:

= Speed * time

= 68 * 4

= 272 miles

This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:

= Distance / time

= 272/5

= 54.4 mph

3 0
2 years ago
Find xif 4; 4+2×;4+4× are in Geometric sequences​
Ray Of Light [21]

Given:

4,4+2x,4+4x are in geometric sequences​.

To find:

The value of x.

Solution:

If a, b, c are in geometric sequences​, then

\dfrac{b}{a}=\dfrac{c}{b}

b^2=ac           ...(i)

It is given that 4,4+2x,4+4x are in geometric sequences​. By using (i), we get

(4+2x)^2=(4)(4+4x)

4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)

16+16x+4x^2=16+16x

4x^2=16+16x-16-16x

On further simplification, we get

4x^2=0

x^2=0

x=0

Therefore, the value of x is 0.

7 0
2 years ago
On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost $2.58 per gallon, wha
Otrada [13]

Answer:

$77.4

Step-by-step explanation:

GIVEN: On the trip from KC to Springfield, the church van consumed 15 gallons of gas to go 179 miles. If gas cost \$2.58 per gallon.

TO FIND: Cost of a round trip to Springfield.

SOLUTION:

Distance of springfield from KC =179\text{ miles}

As it is a round trip total distance =2\times179=358\text{ miles}

As 15 gallons gas used for 179 miles distance

gas required for 1 mile =\frac{15}{179} gallons

gas required for 358 miles =\frac{15}{179}\times2=30 gallons

cost of one gallon of gas =\$2.58

cost  of 30 gallons of gas =30\times2.58=\$77.4

Hence cost of roundtrip to Springfield is $77.4

6 0
2 years ago
If the radius is increased by a factor of three, how many times the volume of the small sphere is the large sphere? *
dusya [7]

Answer:

27

Step-by-step explanation:

8 0
2 years ago
What is the slope of the line that passes through the points (−10,8) and (-15, -7)? Write your answer in simplest form.
Anettt [7]

Answer:

-5/-14

Step-by-step explanation:

3 0
2 years ago
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