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fredd [130]
3 years ago
7

What is the slope of the line?

Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

Answer:

\displaystyle 2

Step-by-step explanation:

Starting from the y-intercept of \displaystyle [1, 1],you do \displaystyle \frac{rise}{run}by either moving two blocks <em>south</em> over one block <em>west</em> or two blocks <em>north</em> over one block <em>east</em> [<em>west</em> and <em>south</em> are negatives]. Doing this will give you the equation below:

\displaystyle y = 2x + 1

I am joyous to assist you anytime.

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I need help on this
xxMikexx [17]

c because its so simple trust!!

3 0
3 years ago
y is inversely proportional to a^3. When a=2, y=10. a is directly proportional to x. When x=4, a=20. Find a formula for y in ter
marshall27 [118]

Answer:

<h2>y = 16/25x³</h2>

Step-by-step explanation:

If y is inversely proportional to a^3, this is expressed as;

y∝1/a³

y = k/a³ where k is the proportionality constant

Given a=2, y=10, then 10 = k/2³

k = 10*2³

k = 80

Substituting k = 80 back into the formula;

y = 80/a³ ............. 1

Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx

If x=4, a=20 then;

20 = 4k

k = 20/4

k = 5

Substituting k = 5 back into the formula;

a = 5x ....... 2

Substitute equation 2 into 1;

y = 80/a³

y = 80/(5x)³

y = 80/125x³

y = 16/25x³

<em>Hence the formula for y in terms of x is y = 16/25x³</em>

<em></em>

3 0
3 years ago
Function 1 is represented in the table below. It shows the amount of money, y, in dollars, that Greg earns after he mows x of hi
frozen [14]

Answer:

D) Greg makes more money per lawn he mows than Myesha makes per hour babysitting

Step-by-step explanation:

Find the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>]:

-y₁ + y₂\-x₁ + x₂ = m

\frac{-36 + 48}{-3 + 4} = \frac{12}{1} = 12

y = 12x

This clearly tells you that Greg makes more per lawn mowed.

I am joyous to assist you anytime.

** Both functions are what is known as Direct Variation.

8 0
3 years ago
Determine whether or not the two triangles are congruent. If they are state by what postulate.
avanturin [10]
Congruent
SSS (because of Pythagoras)
8 0
3 years ago
Suppose a railroad rail is 6 kilometers and it expands on a hot day by 10 centimeters in length. Approximately how many meters w
Anvisha [2.4K]
<span>Given that the railroad rail is 6 kilometers before expansion.

When the railroad expands, it makes an isosceles triangle at the center of the rail.

The base of the triangle is 6 kilometers while each leg of the triangle is given by (6 + 10/100,000) / 2 = 6.0001 / 2 = 3.00005 kilometers.
[recall that 100,000 centimeters gives 1 kilometers, thus 10 centimetres gives 10/100,000 kilometers]

Taking one half of the isoceles triangle, we have a right triangle with one of the leg as 6 / 2 = 3 kilometers and the hypothenus = 3.00005 kilometers.

Thus, using the Pythagoras theorem, we find the other leg (height) of the right triangle as follows.

Let the other leg of the right triangle be h, then
3^{2} + h^{2} = 3.00005^{2}  \\  \\ \Rightarrow h^2=3.00005^{2}-3^2 \\  \\ =9.0003000025-9=0.0003000025 \\  \\ \Rightarrow h= \sqrt{0.0003000025} =0.01732058

Thus, the center of the rail will rise 0.01732058 kilometers above the ground.

But, there are 1,000 meters in 1 kilometers, therefore, </span><span><span>the center of the rail will rise 0.01732058 x 1,000 = 17.32 meters above the ground.</span></span>
8 0
3 years ago
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