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diamong [38]
3 years ago
8

Find the equation of the circle: y-intercepts 4 and –8, contain (–12, –8)

Mathematics
1 answer:
laila [671]3 years ago
6 0

Answer:

  (x +6)^2 +(y +2)^2 = 72

Step-by-step explanation:

The given points are vertices of a right triangle. The circle circumscribing that triangle (through all 3 vertices) will have its center at the midpoint of the hypotenuse:

  ((0, 4) +(-12, -8))/2 = (-6, -2)

The equation of a circle with center (h, k) through point (a, b) is ...

  (x -h)^2 +(y -k)^2 = (a -h)^2 +(b -k)^2

For center (-6, -2) and point (0, 4), the equation is ...

  (x +6)^2 +(y +2)^2 = (0+6)^2 +(4 +2)^2

  (x +6)^2 +(y +2)^2 = 72

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A construction company is hired to build a wheelchair ramp for a restaurant. The ramp connects the handicap parking space (point
makvit [3.9K]

Answer:

1. diagram in the attachment

2. AB = 32.3 ft

Step-by-step explanation:

2. from the diagram:

sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft

4 0
3 years ago
What is £56 divided in a ratio of 3:5?
Luda [366]
First, add the ratio together to get the denominator of the fraction you will use to determine the share. 3+5= 8. Now, you have two fractions: 3/8 and 5/8. Next, just find 3/8 and 5/8 of 56 to get your answers:
(56÷8)×3= <span>£21
</span>and
(56÷8)×5= <span>£35</span>
7 0
3 years ago
What is the answer to this question? 6 = x/4 +2
yanalaym [24]

Answer:

16

Step-by-step explanation

6 = x/4 + 2

subtract 2 from both sides

4 = x/ 4

since its dividing x and 4 you need to multiply 4 on both sides

16 = x

8 0
3 years ago
A survey shows that 10% of the population is victimized by property crime each year. A random sample of 527 older citizens (65 y
jekas [21]

Answer:

The data provide sufficient evidence that older people are more likely to be victimized.

Step-by-step explanation:

H 0 : P = 0.10

H 1 : P > 0.10 (Right tailed test)

n = 527, P = 0.1235

The test statistics

x = P - p / \sqrt{p*(1-p) / n}

x = 0.1235 - 0.10 / \sqrt{0.10 * 0.90 / 527}

x = 0.0235 / \sqrt{0.09 / 527}

x = 0.0235 / \sqrt{0.00017077798}

x = 0.0235 / 0.0130682049264618

x = 1.798257689731729

x = 1.798

P value = [1 - p(Z > 1.7980] (Right tailed test)

P value = 0.036089

The P - Value is very small, so <u>reject H0</u>

Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.

7 0
3 years ago
Write your answer as a mixed number.<br> 3÷1/8=
ivann1987 [24]

3 divided by 1/8  =  <em>24 and 0/8</em>


3 0
3 years ago
Read 2 more answers
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