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3 years ago

Convert the equation into standard form. 25x^2 - 9y^2 + 200x + 18y + 166 = 0

Mathematics

1 answer:

SashulF [63]3 years ago

8 0

Answer:

the answer is d (x+4)^2/9 - (y-1)^2/25

Step-by-step explanation:

its correct on edge

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Jenna can clean the gutters at her house in four hours. Her older brother, John, can clean the gutters in three hours, if they w

OlgaM077 [116]

Answer:

1 hour and 42.8 minutes

Step-by-step explanation:

To answer this question let's call $t_1$ while it takes Jenna to clean the gutters

Let's call $t_2$ while it takes John to clean the gutters

$t_1 = 4$ h

$t_2 = 3$ h

t = total time

g = job = 1 (clean the gutters)

The speed of each one is:

$V_1 = \frac{1}{4}$ g/ h

$V_2 = \frac{1}{3}$ g/h

$V = V_1 + V_2 = \frac{g}{t} = \frac{1}{t}$

So:

$V = V_1 + V_2 = \frac{1}{4} +\frac{1}{3}$

$\frac{1}{t} = \frac{1}{4} + \frac{1}{3}= \frac{7}{12} g/h$

$t = \frac{12}{7}$ h

Then, both together paint $\frac{7}{12}$ of gutters for each hour.

This means that it takes $\frac{12}{7}$ hours to clean the gutters together

Finally cleaning together takes 1,714 hours or also

1 hour and 42.8 minutes

7 0

3 years ago

Convert 0.9285714 into a fraction (A).12/14 (B).12/13 (C).14/16 (D).13/14

jolli1 [7]

Answer:

Step-by-step explanation:

3 0

3 years ago

solve this system of linear equations. seperate the x and y values with commas. -2x=8-6y and -15x =21 -6y

KIM [24]

(-1,-1)
X=-1
Y=-1
I think so

5 0

3 years ago

17. A hemisphere of lead of radius 7 cm is cast into a right circular cone of height 49 cm. Find

Pavlova-9 [17]

Answer:

$r = 3.74cm$

Step-by-step explanation:

Given

Hemisphere

$Radius = 7cm$

Cone

$Height = 49m$

Required

Determine the radius of the cone

First, we calculate the volume (V1) of the hemisphere.

$V_1 = \frac{2}{3}\pi r^3$

Substitute 7 for r

$V_1 = \frac{2}{3}\pi * 7^3$

$V_1 = \frac{2}{3}\pi * 343$

$V_1 = \frac{686}{3}\pi$

Volume (V2) of a cone is:

$V_2 = \frac{1}{3}\pi r^2h$

Because the lead is cast into a cone, then they have the same volume.

So, we have:

$\frac{686}{3}\pi = \frac{1}{3}\pi r^2h$

$686 = r^2h$

Substitute 49 for h

$686 = r^2 * 49$

Divide both sides by 49

$r^2 = \frac{686}{49}$

$r^2 = 14$

$r = \sqrt{14$

$r = 3.74cm$

<em>Hence, the radius of the cone is 3.74cm</em>

5 0

3 years ago

84> -4(6x-3) I don't know what the answer is. Can someone please help me?

nata0808 [166]

Answer:

x>−3

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

84>−24x+12

Step 2: Flip the equation.

−24x+12<84

Step 3: Subtract 12 from both sides.

−24x+12−12<84−12

−24x<72

Step 4: Divide both sides by -24.

−24x /−24 < 72 /−24

7 0

3 years ago