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3 years ago

2. What is the distance between the points M(-8,11) and N(3,7)?

Mathematics

1 answer:

ivolga24 [154]3 years ago

6 0

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

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How to find (c,d,e) Please do a step by step working.Thank you.

Natasha2012 [34]

(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
   $\frac{t + 1}{2}$ = y
Answer for (a): $g^{-1}(t)$ = $\frac{t + 1}{2}$

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: $y =\frac{t - 3}{4}$

Answer for (b): $h^{-1}(t)$ = $\frac{t - 3}{4}$

(c)
$g^{-1} ( h^{-1}(t)) = g^{-1} (\frac{t - 3}{4})$
replace all t's in the $g^{-1}(t)$ equation with $\frac{t - 3}{4}$
$g^{-1} (\frac{t - 3}{4})$ = $\frac{ \frac{t-3}{4} + 1}{2}$
= $\frac{ \frac{t-3}{4} + \frac{4}{4}}{2}$ = $\frac{ \frac{t - 3 + 4}{4}}{2}$ = $\frac{ \frac{t + 1}{4}}{2} = \frac{t + 1}{8}$
Answer for (c): $g^{-1} ( h^{-1}(t))$ = $\frac{t + 1}{8}$

(d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
t + 1 = 8y
$\frac{t + 1}{8}$ = y
Answer for (e): inverse of h(g(t)) = $\frac{t + 1}{8}$

8 0

3 years ago

Convert to a percent. A. 53% B. 35% C. 60% D. 30%

adelina 88 [10]

3/5 converted to percentage gives 60%

How do we convert a fraction to a percentage?

First and foremost, the maximum percentage value any number could have is 100% , hence, in order to convert a number or fraction or even a decimal to percentage, we simply multiply it by 100

3/5 to percent:

In order to convert 3/5 to percentage, we would multiply by 100

3/5=3/5*100

3/5 in percent=300/5

3/5 in percent=60

3/5 in percent =60%

As a result, the correct option is 60%,which is the third option, option C

Find out more about percentage on:brainly.com/question/18488471

#SPJ1

Full question:

Convert 3/5 to a percent.

A.30%

b.35%

c.53%

d.60%

7 0

1 year ago

Find 4 - (-11). The difference is ?

Nana76 [90]

Answer:

Step-by-step explanation:

Step 1: distribute the negative: 4+11

Step 2: add up the numbers: 15

Hope that helps

7 0

3 years ago

Classify the following triangle

jek_recluse [69]

Acute-The angle is less than 90 degrees

Equilateral-All sides are equal in length

Isosceles-Two of the sides are equal in length

Scalene-None of the sides are equal in length

Right-The angle is 90 degrees

Obtuse-The angle is greater than 90 degrees

We can see that none of the sides are the same length, so we know that it must be scalene. We can also see that every angle is less than 90 degrees, so we know that is must be acute.

The triangle is scalene and acute.

Hope this helps!!

3 0

3 years ago

When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i

poizon [28]

Answer:

96feet

Step-by-step explanation:

Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2

x is the number of feet away from the sprinkler head the spray

To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;

From the equation

ℎ(x)=160−16x^2

h(2) = 160-16(2)²

h(2) = 160-16(4)

h(2) = 160-64

h(2) = 96feet

Hence the height will be 96feet if the spray is 2feet away from the sprinklers head

8 0

3 years ago