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3 years ago

Find the equation of the straight line passing through 4,1 with a gradient of 1

Mathematics

1 answer:

almond37 [142]3 years ago

3 0

Answer:

y = x - 3

Step-by-step explanation:

If the gradient (slope) of the line is m, then the point-slope form of the appropriate equation is y - k = m(x - h). If the gradient is 1, then

y - k = x - h

Since this line passes through (4, 1), we have

y - 1 = x - 4, or

y = x - 3

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The length of each side of a regular pentagon is increased by 8 inches, so the perimeter is now 65 inches. What is the original

evablogger [386]

Here as the Pentagon is regular so it's all sides will be of equal length . And if we assume It's each side be s , then it's perimeter is going to be (s+s+s+s+s) = 5s.And as here , each side is increased by 8 inches and then it's perimeter is 65 inches , so we got that it's side after increament is (s+8) inches and original length is s inches . And if it's each side is (s+8) inches , so it's perimeter will be 5(s+8) and as it's equal to 65 inches . So , 5(s+8) = 65

${:\implies \quad \sf 5(s+8)=65}$

${:\implies \quad \sf 5s+5\times 8=65}$

${:\implies \quad \sf 5s+40=65}$

${:\implies \quad \sf 5s=65-40}$

${:\implies \quad \sf 5s=25}$

${:\implies \quad \sf s=\dfrac{25}{5}=5}$

${:\implies \quad \bf \therefore \quad \underline{\underline{s=5\:\: Inches}}}$

As we assumed the original side to be s .

Hence, the original side's length 5 inches 

8 0

2 years ago

2.25k - 20 = 6.5k + 14 please help me solve this step by step asap!

Rom4ik [11]

Answer:

k= -8

Explaining:

Move variable to the left-hand side and change its sign.

2.25k - 6.5k - 20= 6.5k - 6.5k + 14

Since two opposites add up to zero, remove them from the expression.

2.25k - 6.5k - 20= 14

Collect like terms!

-4.25k = 14 + 20

Add the numbers

-4.25k = 35

Divide both sides of the equation by -4.25

So you will get the answer: k= -8

8 0

3 years ago

What is the domain of g?

lawyer [7]

Answer:

A choice.

Step-by-step explanation:

Domain starts at x = - 7 and ends at x = 4. The domain from the graph is also continuous. Therefore, we can rule out C and D.

B is not correct as domain starts from x = -7 and not x = - 4.

8 0

3 years ago

I'm struggling fr now, pls can you help me answer these questions using the y= mx+ c method thanks!

Phoenix [80]

Answer:

Examination of the equation shows (graph):

x = 0, y = .5

Then .5 = c gives us the value of c giving

y = m x + .5 is our equation

Using y = 0, x = -1 gives

o = -1 * m + .5

m = .5

y = .5 x + .5 for the final equation

Check:

At x = 5, y = 3

3 = .5 (5) + .5 = 3

4 0

2 years ago

If you know the density and volume of a substance, how could you find its mass?

stealth61 [152]

Since D=MV, we can infer that M=D/V
That is your equation----------------^

4 0

3 years ago