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Stolb23 [73]
2 years ago
10

H(13, 8), X(-6, -6) find midpoint

Mathematics
2 answers:
Leto [7]2 years ago
5 0

Answer:

(\frac{7}{2},1)

Step-by-step explanation:

An ordered pair is in the form (x,y).  You want to find the average of your x values and the average of your y values.  The x values are 13 and -6.  Your y values are 8 and -6.  You find the average by adding these two values together and dividing by 2.

(\frac{13-6}{2}, \frac{8-6}{2} )

(\frac{7}{2,} 1)

madreJ [45]2 years ago
4 0

Answer:

(7/2, 1)

Step-by-step explanation:

use the midpoint formula

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3 years ago
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Word problem: If 1 yard equals 3 inches, how many inches are in 18 yards?
Mariulka [41]

Answer:

54 inches

Explanation:

From the question, we have that:

1 yard = 3 inches

We are to find the equivalent value of 18 yards in inches. This can be expressed as:

18 yards = x

where x is the unknown value.

Get the value of x by dividing both equations:

\frac{1}{18}=\frac{3}{x}

Cross multiply

\begin{gathered} 1\times x=3\times18 \\  \\ x=54 \end{gathered}

This shows that there are 54 inches in 18 yards

8 0
2 years ago
How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =
rjkz [21]

The transformed equation  $g(x)=\frac{1}{x+4}-6$ , the graph is shifted 4 units to the left and 6 units down.

Explanation:

The parent equation is $f(x)=\frac{1}{x}$

The transformed equation is $g(x)=\frac{1}{x+4}-6$

By using the function transformation rules, we can see that the parent function $f(x)=\frac{1}{x}$ is transformed into the function $g(x)=\frac{1}{x+4}-6$

Since, from the function transformation rules, we know that,

$f(x+b)$ shifts the function b units to the left.

Thus, the transformed function is shifted 4 units to the left.

Also,  from the function transformation rules, we know that,

$f(x)-b$ shifts the function b units downward.

Thus, the transformed function is shifted 6 units down.

Thus, the transformed equation  $g(x)=\frac{1}{x+4}-6$ , the graph is shifted 4 units to the left and 6 units down.

6 0
3 years ago
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A man invests his savings in two accounts ,one paying6% and the other paying 10% simple interest per year. He puts twice as much
AnnyKZ [126]

Answer: he invested $46062.5 at 6% and $23031.25 at 10%

Step-by-step explanation:

Let x represent the amount which he invested in the account paying 6% interest.

Let y represent the amount which he invested in the account paying 10% interest.

He puts twice as much in the lower-yielding account because it is less risky.. This means that

x = 2y

The formula for determining simple interest is expressed as

I = PRT/100

Considering the account paying 6% interest,

P = $x

T = 1 year

R = 6℅

I = (x × 6 × 1)/100 = 0.06x

Considering the account paying 10% interest,

P = $y

T = 1 year

R = 10℅

I = (y × 10 × 1)/100 = 0.1y

His annual interest is $7370dollars. it means that

0.06x + 0.2y = 7370 - - - - - - - - - -1

Substituting x = 2y into equation 1, it becomes

0.06 × 2y + 0.2y = 7370

0.12y + 0.2y = 7370

0.32y = 7370

y = 7370/0.32

y = $23031.25

x = 2 × 23031.25

x = 46062.5

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3 years ago
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