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3 years ago

9

What is the area of triangle MNO?

1 answer:

Pachacha [2.7K]3 years ago

8 0

Answer:

30 $ft^2$

Step-by-step explanation:

<em><u>To find the area of a triangle, you must use the formula:</u></em>

<em><u /></em> $\frac{1}{2} bh$

<em><u>The "</u></em> $b$ <em><u>," is the base (12), and the "</u></em> $h$ <em><u>," is the height (5).</u></em>

<em><u /></em>

<em><u>Plug in the numbers accordingly:</u></em>

<em><u /></em> $\frac{1}{2} (12)(5)$

$\frac{1}{2} (60)$

30

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Find f(-2) for f(x) = 2(4)^x

stepladder [879]

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

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3 years ago

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5 more than the quotient of a number and 8 is 42

Zepler [3.9K]

Answer:

<u>The number is 296.</u>

Step-by-step explanation:

Let's call "x" to the number we are looking for.

Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:

$\frac{x}{8}+5=42$ . Let's solve the equation to find x.

1. Write the expression.

$\frac{x}{8}+5=42$

2. Substract 5 from both sides and simplify.

$\frac{x}{8}+5-5=42-5\\\\\frac{x}{8}=37\\\\$

3. Multiply 8 on both sides and simplify.

$8*\frac{x}{8}=37*8\\\\x=296$

<u>We have found our number, it's 296!</u>

3 0

2 years ago

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After 8 examinations, Kacey's average was 55. Her next result increased her average to 60. What was the next score?

Yuki888 [10]

Answer:

65

Step-by-step explanation:

they're going by 5s every time her score increases. hope I helped (:

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3 years ago

Which graph shows the solution to the system of linear inequalities? x – 4y < 4 y < x + 1 Image for option 1 Image for opt

slava [35]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x-4y$ ----> inequality A

solve for y

$-4y$

$4y>x-4$

$y> (x/4)-1$

The solution of the inequality A is the shaded area above the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,-1)$

The x-intercept is the point $(4,0)$

$y< x+1$ ----> inequality B

The solution of the inequality B is the shaded area below the dashed line

The slope of the dashed line is positive

The y-intercept is the point $(0,1)$

The x-intercept is the point $(-1,0)$

Using a graphing tool

The solution of the system of inequalities in the attached figure

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3 years ago

64 = 4(p + 2) + 24 please solve step by step

Wittaler [7]

Answer:

8

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 1 • -16 = -16

Step-2 : Find two factors of -16 whose sum equals the coefficient of the middle term, which is 6 .

-16 + 1 = -15

-8 + 2 = -6

-4 + 4 = 0

-2 + 8 = 6 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 8

p2 - 2p + 8p - 16

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p-2)

Add up the last 2 terms, pulling out common factors :

8 • (p-2)

Step-5 : Add up the four terms of step 4 :

(p+8) • (p-2)

Which is the desired factorization

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3 years ago

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