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3 years ago

What is the value of the following expression?

Mathematics

2 answers:

enyata [817]3 years ago

8 0

Answer:

D.27

Step-by-step explanation:

this is the answer i got hope it helped

klasskru [66]3 years ago

3 0

D.27
Reason-
You solve the exponents, then you add the numbers in () then multiple it, and finally divide it by 4

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.

Step-by-step explanation:

4 0

3 years ago

Which of the following is an example of a proper fraction? A.7/6 B.3/4 C.4/4 D.4/3

statuscvo [17]

Answer: B

Step-by-step explanation:

A proper fraction is when a fraction has the numeration less than the denominator

3 0

3 years ago

Pablo is a technical writer who works 7.5 hours per day. He spends twice as much time on writing tasks as he does on other work

NikAS [45]

Pablo spends 15 hours on writing tasks
answer: twice as much=2 times this number
then twice as much= 7.5 times 2
7.5 times 2= 15hrs

6 0

3 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$