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3 years ago

What are the coordinates of the point obtained if the point A=(3,7) is rotated 180 degrees about the origin?

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:

B. (-3, -7)

Step-by-step explanation:

Anytime you rotate a number 180° about the origin, the numbers in the coordinates become their opposites.

-3 is the opposite of 3 and -7 is the opposite of 7.

Therefore, your new coordinates are (-3, -7)

(x,y) becomes (-x,-y)

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Solve using the quadratic formula 2x^2 + 7x - 15 = 0

marissa [1.9K]

Answer:

1.5 or -5

Step-by-step explanation:

2x²+7x-15=0

Divide by 2:

x²+7x/2-15/2=0

x=-7/2/2 ± √49/4(4)+15/2

=-7/4 ± √49/16+120/16

=-7/4± √169/16=-7/4 ±13/4

=6/4 or -20/4

=1.5 or -5

3 0

2 years ago

Consider a manufacturing process called as turning (a type of machining process) that is used to manufacture cylindrical metal s

Sav [38]

Answer: 86.64%

Step-by-step explanation:

Let x be a random variable that represents the diameter of metal samples.

Given : Population mean : $\mu=10$

Standard deviation: $s=0.50$

Specified tolerance on the diameter is 0.75 mm.

i.e. range of diameter = 10-0.75< x <10+0.75 = 9.25< x< 10.75

Formula to find the z-score corresponds to x: $z=\dfrac{x-\mu}{s}$

At x= 0.75, $z=\dfrac{9.25-10}{0.50}=-1.5$

$z=\dfrac{9.25-10}{0.50}=1.5$

Using standard normal table for z-value,

P-value : $p(-1.5$

∴ Percentage of samples manufactured using this process satisfy the tolerance specification = 86.64%

6 0

2 years ago

Use the distance formula to find the distance between each PowerPoint round to the nearest 10th if necessary

natita [175]

Answer:

Step-by-step explanation:

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

Distance = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

a). A(-6, -4), B(-3, -1)

Distance between A and B = $\sqrt{(-6+3)^2+(-4+1)^2}$

= $\sqrt{9+9}$

= 3√2

= 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = $\sqrt{(3.5+4)^2+(1-2.5)^2}$

= $\sqrt{58.5}$

= 7.65

≈ 7.7 units

c). Distance between X(5, -5) and Y(-5, 5)

Distance = $\sqrt{(5+5)^2+(-5-5)^2}$

= $\sqrt{200}$

= 10√2

= 14.14

≈ 14.1 units

4 0

2 years ago

The length of the red line segment is 18, and the length of the blue line segment is 8. How long is the transverse axis?

BabaBlast [244]

Your answer is 10 :)

5 0

2 years ago

Please help as soon as possible! Kia's plant is 8 1/5 inches tall and is growing 2/3 of an inch each week. Lyric's plant is 10 7

boyakko [2]

To find the answer, you find out the height of the plants for each week until they're the same.

Equation: Growth × Week + Original Height

For Kia: 2/3w + 8 1/5
For Lyric: 1/6w + 10 7/10
Kia:
Week 0 = 8 1/5 in.
Week 1 = 8 13/15 in.
Week 2 = 9 8/15 in.
Week 3 = 10 1/5 in.
Week 4 = 10 13/15 in.
Week 5 = 11 8/15 in.

Lyric:
Week 0 = 10 7/10 in.
Week 1 = 10 13/15 in.
Week 2 = 11 1/30 in.
Week 3 = 11 1/5 in.
Week 4 = 11 11/30 in.
Week 5 = 11 8/15 in.

Solution: 5 Weeks

6 0

3 years ago