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2 years ago

What is the equation for a line parallel to y=-4x-9 that passes through the point 0,8

Mathematics

1 answer:

Afina-wow [57]2 years ago

8 0

Parallel = same slope
Y = -4x + b
(0,8) y intercept; plug in
Solution: y = -4x + 8

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Which are the solutions of x2 = 19x + 1?

Finger [1]

Answer:

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

Step-by-step explanation:

we have

$x^2=19x+1$

we know that

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-x^{2}-19x-1=0$

$a=1\\b=-19\\c=-1$

substitute in the formula

$x=\frac{-(-19)\pm\sqrt{-19^{2}-4(1)(-1)}} {2(1)}$

$x=\frac{19\pm\sqrt{365}} {2}$

$x=\frac{19+\sqrt{365}} {2}$

$x=\frac{19-\sqrt{365}} {2}$

$(\frac{19-\sqrt{365}} {2},\frac{19+\sqrt{365}} {2})$

therefore

StartFraction 19 minus StartRoot 365 EndRoot Over 2 EndFraction comma StartFraction 19 + StartRoot 365 EndRoot Over 2 EndFraction

6 0

3 years ago

Read 2 more answers

A nurse at a local hospital is interested in estimating the birth weight of infants. how large a sample must she select if she d

enyata [817]

For large sample confidence intervals about the mean you have:

xBar ± z * sx / sqrt(n)

where xBar is the sample mean z is the zscore for having α% of the data in the tails, i.e., P( |Z| > z) = α sx is the sample standard deviation n is the sample size

We need only to concern ourselves with the error term of the CI, In order to find the sample size needed for a confidence interval of a given size.

z * sx / sqrt(n) = width.

so the z-score for the confidence interval of .98 is the value of z such that 0.01 is in each tail of the distribution. z = 2.326348

The equation we need to solve is:
z * sx / sqrt(n) = width
n = (z * sx / width) ^ 2.
n = ( 2.326348 * 6 / 3 ) ^ 2
n = 21.64758

Since n must be integer valued we need to take the ceiling of this solution.
n = 22

7 0

3 years ago

Big ideas math 1.2 Practice A number 19

slega [8]

By applying Segment Addition Postulate, segment FH is equal to 24 units.

<h3>What is a point?</h3>

A point can be defined as a zero dimensional geometric object and it is generally represented by a dot.

<h3>What is a line segment?</h3>

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

<u>Given the following data:</u>

Line segment FG = 37.

Segment HG = 13.

Since point H lies on line segment FG, we would apply Segment Addition Postulate to determine segment FH as follows:

FG = HG + FH

37 = 13 + FH

FH = 37 - 13

FH = 24 units.

Read more on line segment here: brainly.com/question/17617628

#SPJ1

Complete Question:

Given that line segment FG = 37 and segment HG = 13, find segment FH.

4 0

2 years ago

Ali is paid $200 for working 8 hours.How much is he paid for working 6 hours?

artcher [175]

Answer:

$150

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The diameter of the base of the cone measures 8 units. The height measure 6 units. What is the volume of the cone?

ivolga24 [154]

Answer:

The volume of the cone is 100.48 units³ approximately

Step-by-step explanation:

To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;

first, write down the formula for calculating the volume of a cone

v= πr² $\frac{h}{3}$

where v is the volume of the cone

r is the radius and h is the height of the cone

from the question given, diameter d = 8 units but d=2r which implies r=d/2

r=8/2 = 4 units

Hence r= 4 units

height = 6 units

π is a constant and is ≈ 3.14

we can now proceed to insert the values into the formula

v= πr² $\frac{h}{3}$

v ≈ 3.14 × 4² × 6/3

v ≈ 3.14 × 16 × 2

v ≈ 100 .48 units³

Therefore the volume of the cone is 100 .48 units³ approximately

6 0

3 years ago