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3 years ago

What is the point-slope equation of the line with slope -12 that goes through the point (5,3)

Mathematics

1 answer:

kherson [118]3 years ago

4 0

Hello,
the equation is y-3=-12(x-5)==>y=-12x+63
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Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x

kumpel [21]

Answer:

12m

Step-by-step explanation

If the height of the ball after x seconds be modelled by the equation

h(x)=−(x−2)² +16

The height of the ball at the time it is thrown will be the height at the initial time. At that point that it is initially thrown the time is 0seconds i.e x = 0

To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;

h(0) = -(-0-2)²+16.

h(0) = -(-2)²+16

h(0) = -4+16

h(0) = 12

The height of the ball at the time the ball is thrown is 12m

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4 years ago

Read 2 more answers

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Zielflug [23.3K]

Answer:

$B = 134^o$

Step-by-step explanation:

$n = 6$ --- sides

$A = 170^o$

$C = 107^o$

$D = 102^o$

$E = 117^o$

$F = 90^o$

Required

The measure of B

The interior angles of a polygon is:

$Angles = (n - 2) * 180$

So, we have:

$Angles = (6 - 2) * 180$

$Angles = 4 * 180$

$Angles = 720^o$

The measure of B is calculated using:

$A + B + C + D + E + F = 720$

Substitute known values

$107 + B + 170 + 102 + 117 + 90 = 720$

Collect like terms

$B + 107 + 170 + 102 + 117 + 90 = 720$

$B + 586 = 720$

Collect like terms

$B = 720 - 586$

$B = 134^o$

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3 years ago

Slope 1/2 = goes through (2, 6)

Mekhanik [1.2K]

Y = 1/2x+5 I think that’s it

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3 years ago

How many 3/4 cup servings of macaroni are in 2/3 of a cup of macaroni?

aalyn [17]

Exact From 8/9

Decimal Form 0.8

<span>https://gyazo.com/6728967865dc379cf0bf1f9ca27057ed</span>

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3 years ago

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To assess the accuracy of a laboratory scale, a standard weight that is known to weigh 1 gram is repeatedly weighed 4 times. The

zhannawk [14.2K]

Answer:

(0.9464,1.034)

Step-by-step explanation:

First find the mean μ of all values as;

(0.95+1.02+ 1.01+ 0.98 ) /4 =0.99

μ=0.99

Find the standard deviation as;

-For each value subtract the mean and square the results

0.95-0.99 = -0.04 , -0.04² = 0.0016

1.02-0.99= 0.03, 0.03²=0.0009

1.01-0.99= 0.02, 0.02²= 0.0004

0.98-0.99 = -0.01, -0.01²=0.0001

Find mean of squared deviations as;

(0.0016+0.0009+0.0004+0.0001)/4 =0.00075 ----variance

Standard deviation = √0.00075 = 0.0274

δ = 0.0274

n=4

Thus n< 30 , confidence interval for μ = x ± t*δ/√n ---------(i)

Degree of freedom (df) = n-1 =4-1 =3

The t value for 95% confidence with df= 3 is t=3.182

Substituting the values in equation (i)

0.99 ± 3.182 * 0.0274/√4

0.99 ± 3.182 * 0.0274/2

0.99 ± 3.182 * 0.0137

0.99 ± 0.0436

(0.9464,1.034)

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3 years ago