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Irina18 [472]
3 years ago
13

Evaluate the following at select the best answer 8 (3 exponent seven) minus (6 + 4) 2​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
3 0

Answer:

17476

Step-by-step explanation:

8(3^{7})-(6+4)2

8(2187)-(10)2

17496-20

17476

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Where is the center of the circle and what is its radius
Dmitrij [34]

Answer:

(3, -4) and r = 3

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.  

First write the equation in this form.  

x^2 - 6x + ( ?)+ y^2 +8y + (?) + 16 = 0  

Complete the square with each variable to find what numbers should go in place of the question marks.  

(-6/2)^2 = -3^2 = 9  

(8/2)^2 = 4^2 = 16  

Since 16 has already been added to the equation, just add 9 to both sides of the equation.  

x^2 - 6x + 9 + y^2 +8y + 16 = 9\\(x-3)^2 + (y+4)^2 = 9  

So the center is (3,-4) and the radius is 3.

5 0
3 years ago
In triangle PQR, PR = 23mm, QR = 39mm, and m<R = 163 degrees. Find the area of the triangle to the nearest tenth.
Schach [20]

Answer: 131.1287 square mm (approx)

Step-by-step explanation:

The area of a triangle,

A=\frac{1}{2} \times s_1\times s_2\times sin \theta

Where s_1 and s_2 are adjacent sides and \theta is the include angle of these sides,

Here PR and QR are adjacent sides and ∠R is the included angle of these sides,

Thus, we can write,

s_1 = PR= 23\text{ mm}, s_2=QR=39\text{ mm} and \theta = 163^{\circ},

Thus, the area of the triangle PQR,

A=\frac{1}{2} \times 23\times 39\times sin163^{\circ}

A=\frac{262.257419136}{2} = 131.128709568\approx 131.1287\text{ square mm}

5 0
3 years ago
The table includes the cost of ordering different numbers of fence sections. Number of Sections (x) Cost in Dollars (y) 10 409 5
xenn [34]
200 sections will cost $7439.

We first see if the rate of change, the slope, is the same between data points.  If it is, the function will be linear.  We use the formula

m = (y₂ - y₁)/(x₂ - x₁)

For the first two data points, we have

m = (1889-409)/(50-10) = 1480/40 = 37

For the second two data points, we have

m = (4664-1889)/(125-50) = 2775/75 = 37

Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁) 
y - 409 = 37(x - 10)
y - 409 = 37x - 370

Add 409 to both sides: 
y = 37x + 39

Using 200 as x,
y = 37(200) + 39 = 7439
3 0
4 years ago
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3 years ago
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Billy has a gift card with $150 balance he buy several video games that cost $35 each after the purchase he is a gift card balan
worty [1.4K]
He bought 3 video games.
4 0
3 years ago
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