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3 years ago

Select the correct answer.

Mathematics

1 answer:

asambeis [7]3 years ago

3 0

Answer:

y=3x+4

Step-by-step explanation:

The equation of the straight line that passes through (-3,-5) with slope 3 can be found using

$y = mx + b$

where m=3 is the slope .

We substitute the slope to get:

$y = 3x + b$

We substitute the point to find b.

$- 5 = 3( - 3) + b \\ - 5 = - 9 + b \\ b = - 5 + 9 = 4$

The equation of the straight line is:

$y = 3x + 4$

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A train travels from station A to C having distance of 285 miles in 6 hours. During the journey, it reaches intermediate station

Nesterboy [21]

Answer:

Distance between B and C = $3\times 55=165miles$

Step-by-step explanation:

Let the time taken to reach from station A to B be x hr

Let the time taken to reach from station B to C be y hr

Given total time from station A to C be 6 hr

∴ x + y = 6

⇒ y = 6 - x → (1)

Also total distance given is 285 miles

As $Distance=Speed\times Time$

∴ distance travelled between station A and B

= $40\times xmiles$

distance travelled between station B and station C

= $55\times ymiles$

So, 40x + 55y = 285

⇒ 40x + 55(6 -x) = 285 (From 1)

=> 40x + 330 - 55x = 285

=> -15x = 285 - 330

=> -15x = -45 ⇒ x=3

gives y = 6-3 = 3 hours

Distance between B and C = $3\times 55=165miles$

5 0

3 years ago

WILL MARKBRANLIEST<br> ...

MA_775_DIABLO [31]

Make ratios.

12/16: 15/x

cross multiply

12(x) = 12x
16(15) = 240

12x = 240

isolate the x, divide 12 from both sides

12x/12 = 240/12

x = 20

D) 20 km is your answer

hope this helps

5 0

3 years ago

A prism has a square base with a side length of 4 1 2 4 1 2 feet. The height of the prism is 6 feet. What is the volume of the p

dusya [7]

We have been given that a prism has a square base with a side length of 4 1/2 feet. The height of the prism is 6 feet. We are asked to find the volume of the prism.

We know that volume of prism is base area times height.

$\text{Area of base}=\text{Area of square}=\text{Side length}^2$