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3 years ago

A parabola can be represented by the equation y2=5x

Mathematics

1 answer:

Tasya [4]3 years ago

4 0

Answer:

<u>Direction open's Right </u>

Vertex: (0,0)

Focus: (5/4, 0)

axes of symmetry: y = 0

directrix: x = - 5/4

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axes of symmetry.

Hope this really helps u have good day :)

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A 28 foot ladder is propped against a wall. The base of the ladder is 19 ft from the wall how far up the wall does the ladder go

docker41 [41]

Answer:

20.6

Step-by-step explanation:

The problem can be solved by applyPythagoreanean theory

a^2+b^2= c^2

19^2 + b^2= 28^2

361 + b^2= 784

b^2= 784-361

= 423

b= √423

= 20.6

8 0

2 years ago

9. What's the area of the above figure, which has sides of length 6 and 8? A. 48 B. 42 C. 14 D. 28 (its a rectangle)

Reika [66]

A=length x width
6x8 =48
A

4 0

2 years ago

Read 2 more answers

Write the equation of the line that passes through (-3,6) with a slope of -2

Ksenya-84 [330]

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$\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}$

What is the equation of the line that passes through (-3, 6) and has a slope of -2?

$\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond$

First, we need to write the equation of the line in point-slope form:-

$\sf{y-y_1=m(x-x_1)}$

Replace y1 with 6, m with -2, and x1 with -3:-

$\sf{y-6=-2(x-(-3)}$

On simplification,

$\sf{y-6=-2(x+3)}$

On further simplification,

$\sf{y-6=-2x-6}$

Add 6 on both sides:-

$\it{y=-2x}$

<h3>Good luck with your studies.</h3>

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6 0

1 year ago

What interest rate, to the nearest tenth of a percent, that is required for an investment subject to continuous compounding to i

Sunny_sXe [5.5K]

Answer:

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

Step-by-step explanation:

Use the formula for continuous compounding

$X(t) = Pe^{rt}$

where r stands for the (annual) interest rate, t for time in years, P for the initial principal (investment) and X is the amount after t years.

(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

$X(5) = 1.5P=Pe^{r\cdot5}\\1.5=e^{r\cdot5}\\\ln 1.5=\ln e ^{5r}\\\ln 1.5=5r\\r = \frac{\ln 1.5}{5}=0.081\rightarrow 8.1\%$

It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

5 0

3 years ago

A survey found that 12 out of 30 people preferred bacon over sausage. According to this survey, what percent of people pefer bac

Yakvenalex [24]

Answer: 40%

Step-by-step explanation:

first you symplify your fraction:

12/30 = 2/5

then divide your numerator from your denominator:

2÷5 =0.4

then you convert your decimal into a percentage:

0.4×100=40%

8 0

3 years ago