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3 years ago

What is the area of a triangle that has a base of 3 feet and a height of 6 feet?

Mathematics

1 answer:

Nitella [24]3 years ago

3 0

The formula of area of triangle is given by

$A= \frac{1}{2} b*h$

Where b is the base and h is the height .

In the given question, base ,b = 3 feet

Height, h= 6 feet

Substituting the values of b and h in the formula, we will get

$A = \frac{1}{2}*3*6 = 9 ft^2$

Correct option is C .

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How many more unit tiles must be added to the function f(x)=x2−6x+1 in order to complete the square?

Valentin [98]

<h2>8 unit tiles should be added</h2>

Step-by-step explanation:

Function given is $f(x)=x^{2}-6x+1$ . We wish to add more unit tiles to the function so that it becomes a complete square.

Since the given function is of order 2, the side of the square will be order 1. Let us assume a general order 1 expression $ax+b$ to be the side of the square.

As the function forms the square after adding some $p$ unit tiles, $f(x)+p=(\text{Side of square})^{2}$

$x^{2}-6x+1+p=(ax+b)^{2}=a^{2}x^{2} +2abx+b^{2}$

From comparision, $a^{2}=1; 2ab=-6; b^{2}=1+p\\a=1; b=-3\\(-3)^{2}=p+1\\p=8$

∴ 8 more unit tiles are required to complete the square.

10 0

2 years ago

Read 2 more answers

I started walking at 4pm when I finished the hour hand of the clock turned 90 degrees what time did I finish

Ulleksa [173]

Answer:

7 P.M.

Step-by-step explanation:

Time at which the walk was begun = 4 p.m.

Finished after rotating the clock 90° i.e. = 3 hours

Thus,

The time at which the task finished = 4 p.m. + 3hours

= 7:00 PM

5 0

3 years ago

One root of the quadratic equation x^2 − 2x + m = 0 is 9. If the other root is n, what is n−m?

mote1985 [20]

$9^2-2*9+m=0\\
\\
81-18+m=0\\
\\
m=-63$

$x^{2} -2x-63=0\\
\\
\Delta=(-2)^2-4.1.(-63)=4+252=256\\
\\
x=\frac{2 \pm 16}{2}\\
\\
x_1=\frac{18}{2}=9\\
\\
n=x_2=\frac{-14}{2}=-7\\
\\
n-n=-7-(-63)=-7+63=56$

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3 years ago

First, she needs to find her resting heart rate by counting her pulse for one minute immediately after she wakes up for 5 days i

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

She finds her average resting heart rate to be 62 after 5 days.

That means, average of the 5 heart rate pulse=62

If the last day was 58 and all the other days were the same.

Let x be her pulse on the other days,

Then,

$Average, 62=\dfrac{58+4x}{5}\\\text{Cross Multiply}\\58+4x=62 X 5\\\text{Suntract 58 from both sides}\\4x=(62X5)-58\\4x=310-58\\4x=252\\\text{Divide both sides by 4}\\x=63$

Her pulse on all the other days is 63.

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3 years ago

A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A

Svetradugi [14.3K]

Answer:

C. -5

Step-by-step explanation:

20 x 3 = 60

5 x 1 = 5

60 - 5 = 55

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2 years ago