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shusha [124]
3 years ago
10

7. A point with coordinates (5,-6) is rotated 180 degrees counterclockwise about the origin. What are the coordinates of its ima

ge?
A. (5,6)
B.(-5, 6)
C.(-5, -6)
D. (5,-6)
Mathematics
2 answers:
Oliga [24]3 years ago
8 0
If it’s rotated 180 degrees that would be opposite of (5,-6) so it’s (-5,6)
oee [108]3 years ago
3 0

Answer:

B. (-5, 6)

Step-by-step explanation:

You have to switch the signs when you rotate 180

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The saucer for Roger's teacup has a radius of 3 centimeters. What is the saucer's circumference?
Fantom [35]

C=dπ and r+r=d so 3+3=6 and 6π≈18.84 so the circumference would be 18.84
7 0
3 years ago
Sabendo que "K" satisfaz a equação {2(k-8) + 3(-k+1) = -4k +11} Os valores reais de x que satisfazem a equação 15x² - kx + 1 = 0
erastova [34]

Answer:

D) 1/5 e 1/3

Step-by-step explanation:

You have the following quadratic equation:

15x^2-kx+1=0           (1)

In order to find the values of x that are solution to the equation (1), you first find the solution for k in the following equation:

2(k-8)+3(-k+1)=-4k+11\\\\2k-16-3k+3=-4k+11\\\\2k-3k+4k=11+16-3\\\\3k=24\\\\k=8

Next, you replace the previous value of k in the equation (1) and you use the quadratic formula to find the roots:

15x^2-8x+1=0\\\\x_{1,2}=\frac{-(-8)\pm \sqrt{(-8)^2-4(15)(1)}}{2(15)}\\\\x_{1,2}=\frac{8\pm 2}{30}\\\\x_1=\frac{1}{5}\\\\x_2=\frac{1}{3}

Then, the roots of the equation (1) are

D) 1/5 e 1/3

5 0
4 years ago
Find the slope of the line that passes through the points (0,-11) and (8,-8).
Korolek [52]

To find the slope of a line, we can use the following formula:

\displaystyle \large{m =  \frac{y_2 - y_1}{x_2 - x_1} }

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

\displaystyle \large{(x_1,y_1) = (0, - 11)} \\  \displaystyle \large{(x_2,y_2) = (8, - 8)}

Substitute the points in formula:

\displaystyle \large{m =  \frac{ - 8 -( - 11)}{ 8 - 0} }

Negative multiply negative always come out as positive.

\displaystyle \large{m =  \frac{ - 8  +  11}{ 8 - 0} } \\  \displaystyle \large{m =  \frac{ 3}{ 8 } } \\

Since m stands for slope, we can say that:

\displaystyle  \large \boxed{ \tt{slope  =  \frac{3}{8} }}

5 0
3 years ago
Read 2 more answers
A customer service survey was conducted of 500 customers: 250 men and 250 women. The data on one of the questions show that 175
Lisa [10]

Answer:

1,335

Step-by-step explanation:

5 0
3 years ago
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Simplify (5b)(-3a). -35ab -15ab 2ab
Fofino [41]
(5b)(-3a)
= (5*(-3))(b*a) (combine like terms)
= -15ab

The final answer is -15ab~
3 0
3 years ago
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