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Oksana_A [137]
3 years ago
5

1. Where do the lines 9x – 7y = 24 and 3x + y = -2 intersect?

Mathematics
1 answer:
yan [13]3 years ago
5 0

Answer:

Step-by-step explanation:

9x - 7y = 24

3x + y = -2

9x - 7y = 24

-9x - 3y = 6

-10y = 30

y = -3

3x - 3 = -2

3x = 1

x = 1/3

(1/3, -3)

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You enter a relay race. To start, you must run 20 yards to Checkpoint A. You then must turn and run 12 yards to Checkpoint B. La
Anarel [89]

Distance to checkpoint A from starting line = 20 yards.

Then from A to B distance = 12 yards.

Let us take starting point C.

So, it would make a right triangle.

We have AB = 12, AC = 20, we need to find BC, that is Hypotenuse of the right triangle.

According to Pythagoras theorem:

BC^2 = AB^2+AC^2

BC^2 = 12^2+20^2

BC^2 = 144 +400 = 544

BC= \sqrt{544}

BC = 23.32.

<h3>Therefore,  23.32 yards is the distance from Checkpoint B to the starting line.</h3>
7 0
3 years ago
Read 2 more answers
Austin got a raise. Their hourly wage was increased from $18.00 to $20.50. What was the percent increase in Austin’s wage to the
agasfer [191]

Answer:

option 3)

14% approx

Step-by-step explanation:

Given data

Initial= $18.00

final =$20.50

% increase= final - initial/initia *100

% increase= 20.50-18.0/18*100

% increase=2.5/18*100

% increase=0.138*100

% increase=13.8%

Hence the increase is 13.8%

=14% approx

7 0
3 years ago
Consider the functions f(x) = 2x - 3 and g(x) = 6 + 8/x. Solve for f(g(4))
ExtremeBDS [4]

Answer:

13

Step-by-step explanation:

Given the equations f(x) = 2x - 3 and g(x) = 6 + 8/x.

We want to find f(g(4))

Essentially, what we are doing, is plugging in 4 into x for g(x) and the outcome of that is what we plug into x for f(x)

So first lets plug in 4 into x for g(x)

g(x) = 6 + 8/x.

We want to find g(4)

g(4) = 6 + 8/4

First divide 8 by 4

g(4) = 6 + 2

Then add 6 and 2

g(4) = 8

Now that we have found g(4) we want to plug the value of g(4), so 8 into f(x)

f(x) = 2x - 3

we want to find f(8)

f(8) = 2(8) - 3

* multiply 2 and 8 *

f(8) = 16 - 3

* subtract 3 from 16 *

f(8) = 13

and we are done!

So we can conclude that f(g(4)) = 13

5 0
3 years ago
A pentagon has 5 congruent sides and each angle measures 108°.
Dafna11 [192]
I'd say A because all side are equal.
6 0
4 years ago
Read 2 more answers
M is inversely proportional to r if m= 9 when r= 4 find m when r=2
bazaltina [42]

m=18 when r = 2.

Step-by-step explanation:

Given,

m∝\frac{1}{r}

So,

m = k×\frac{1}{r},--------eq 1, here k is the constant.

To find the value of m when r = 2

At first we need to find the value of k

Solution

Now,

Putting the values of m=9 and r = 4 in eq 1 we get,

9 = \frac{k}{4}

or, k = 36

So, eq 1 can be written as m= \frac{36}{r}

Now, we put r =2

m = \frac{36}{2}

or, m= 18

Hence,

m=18 when r = 2.

4 0
3 years ago
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