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iragen [17]
2 years ago
15

Estimate the quotient using compatible numbers. 486÷ 5

Mathematics
1 answer:
Semmy [17]2 years ago
7 0

Answer:

97.2

In mixed number form its 97 1/5

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(01.06) Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 3x − 3 The function g
Damm [24]

Answer:

<h2>They both have the same slope</h2>

Step-by-step explanation:

The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.

given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;

mx = 3x

Divide through by x

mx/x = 3x/x

m = 3

Hence the slope of the function f(x)= 3x − 3 is 3.

For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;

m = Δy/Δx = y₂-y₁/x₂-x₁

From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5

m = 5-2/1-0

m = 3/1 = 3

Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.

<em>This shows that both functions have the same slope.</em>

3 0
3 years ago
In a certain isosceles right triangle, the altitude to the hypotenuse has length
Law Incorporation [45]

The angle bisector, median, and altitude are all the same things in an isosceles triangle.

That means that the legs of the smaller triangles created by the altitude are 4 root 2.

By special properties of an right triangle, the hypotenuse is 8.

Since the legs of the original right triangle are congruent, the area of the original triangle is 8*8/2.

Now we just simplify:

8*8/2=64/2=32

8 0
3 years ago
Use the distributive property then combine any like terms<br><br> 4(7p+4-2p)
ivolga24 [154]

Answer:20p+16

Step-by-step explanation:

Combine like terms

4(7p+4-2p)

4(5p+4)

Distribute

4(5p+4)

20p+16

7 0
3 years ago
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lutik1710 [3]
The picture will now be 7.5 inches high by 18 inches wide.
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3 years ago
John's bedroom is shaped like a rectangle. The dimensions of the room are 10 feet by 14 feet. What is the best estimate of the l
natali 33 [55]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
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