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blsea [12.9K]
2 years ago
5

One-half of a number, increased by 69 is 74. What is the number?

Mathematics
2 answers:
gtnhenbr [62]2 years ago
8 0
Let the number be x
1/2 x + 69 = 74
1/2 x= 74 - 69
1/2 x = 5
x = 2*5
x= 10
Klio2033 [76]2 years ago
6 0

Answer:

10

Step-by-step explanation:

let the number be n then half the number is \frac{1}{2} n , so

\frac{1}{2} n + 69 = 74 ( subtract 69 from both sides )

\frac{1}{2} n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

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Write the equation of a line that is perpendicular to -2/7x+9 that passes through the point (4, -6)
Anna11 [10]

Answer:

7y + 2x + 34 = 0

Step-by-step explanation:

The gradient for perpendicular, m = -2/7

The formular equation, y - y1 = m(x - x1)

The equation of line through (4, -6) is:

y - (-6) = -2/7(x - 4)

y + 6 = -2x/7 + 8/7

7y + 42 + 2x - 8 = 0

7y + 2x + 34 = 0

6 0
3 years ago
Read 2 more answers
CAN SOMEONE PLEASE HELP!!!
Andreas93 [3]

Step-by-step explanation:

AC=AB+BC-cos. AC=100+66-cos. AC=166-0.906. AC=√165.094. AC=12.8

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2 years ago
You invest 4,100 in an account that pays an interest rate of 7.25% ,compounded continuously. Calculate the balance of your accou
levacccp [35]
\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount}
\\\\
A=Pe^{rt}\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to& \$4100\\
r=rate\to 7.25\%\to \frac{7.25}{100}\to &0.0725\\
t=years\to &8
\end{cases}
\\\\\\
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8 0
3 years ago
What’s the area of the rectangle in terms of x if the length is (x+8) and the width is (2x-1)?
WARRIOR [948]

Answer:

Step-by-step explanation:

A=LW\\ \\ A=(x+8)(2x-1)\\ \\ A=2x^2-x+16x-8\\ \\ A=2x^2+15x-8

5 0
2 years ago
Please help me<br> Show your work
GrogVix [38]

<u>ANSWER TO PART A</u>

The given triangle has vertices J(-4,1), K(-4,-2),L(-3,-1)


The mapping for rotation through 90\degree counterclockwise has the mapping


(x,y)\rightarrow (-y,x)


Therefore

J(-4,1)\rightarrow J'(-1,-4)


K(-4,-2)\rightarrow K'(2,-4)


L(-3,-1)\rightarrow L'(1,-3)


We plot all this point and connect them with straight lines.


ANSWER TO PART B


For a reflection across the y-axis we negate the x coordinates.


The mapping is



(x,y)\rightarrow (-x,y)


Therefore

J(-4,1)\rightarrow J''(4,1)


K(-4,-2)\rightarrow K''(4,-2)


L(-3,-1)\rightarrow L''(3,-1)


We plot all this point and connect them with straight lines.


See graph in attachment







7 0
3 years ago
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