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3 years ago

The line y=-1/2x+3 is perpendicular to which line

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

3 0

y=2x+3 (the 3 can be changed)

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X squared plus x y - 12 y squared

Licemer1 [7]

(x-4y) (x+3y)
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3 years ago

Write an equation for a parabola with x-intercepts (-4,0) and (5,0) which passes through the point (3. – 28).

Vanyuwa [196]

Answer:

y=a(x-p)(x-q)

y=a(x+2+√2)(x+2-√2)

passing through point (-1,1)

substitute

1=a(-1+2+√2)(-1+2-√2)

1=a(1+√2)(1-√2)

1=a(1-2)

1=a(-1)

a=1/(-1)

a=-1

y=-(x+[2+√2])(x+[2-√2])

y=-(x2+4x+2)

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5 0

3 years ago

there were n signers of the declaration of independence. the oldest was benjamin franklin, who was y years old. 7 is 10% of y. w

Zigmanuir [339]

Answer:

Step-by-step explanation:

In this problem 7 is 10% of Ben Franklin's age. To solve you must find what 100% percent of his age is. To do this multiply 7 by 10. You do this because 10% times 10 is equal to 100%. Therefore, his age is 70.

7 0

3 years ago

F(x)=x^2+4x and g(x)= 2x+2, find f(5)+ g(6)

Lubov Fominskaja [6]

F(5) = 5² +4*5=25+20 = 45
g(6) = 2*6 +2 =12+2=14

f(5) + g(6)= 45 +14 =59

3 0

3 years ago

The weights of 67 randomly selected axles were found to have a variance of 3.85. Construct the 80% confidence interval for the p

VLD [36.1K]

Answer:

$3.13$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 67

Variance = 3.85

We have to find 80% confidence interval for the population variance of the weights.

Degree of freedom = 67 - 1 = 66

Level of significance = 0.2

Chi square critical value for lower tail =

$\chi^2_{1-\frac{\alpha}{2}}= 51.770$

Chi square critical value for upper tail =

$\chi^2_{\frac{\alpha}{2}}= 81.085$

80% confidence interval:

$\dfrac{(n-1)S^2}{\chi^2_{\frac{\alpha}{2}}} < \sigma^2 < \dfrac{(n-1)S^2}{\chi^2_{1-\frac{\alpha}{2}}}$

Putting values, we get,

$=\dfrac{(67-1)3.85}{81.085} < \sigma^2 < \dfrac{(67-1)3.85}{51.770}\\\\=3.13$

Thus, (3.13,4.91) is the required 80% confidence interval for the population variance of the weights.

8 0

3 years ago