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3 years ago

15

A consistent system of equations is a system with __________. (1 point) the same line parallel lines intersecting lines and line

s that have the same slope intersecting lines and lines that have the same equation

1 answer:

patriot [66]3 years ago

7 0

I'm not sure about my answer but I think it's perpendicular lines

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27 + (8-5) -am looking for the answer of number 7

Rasek [7]

Answer:

The answer to the equation from question 7 is 14.

Step-by-step explanation:

In question 7, we are given an equation.

2³ + (8 - 5)² - 3

First, subtract 5 from 8 in the parentheses.

2³ + 3² - 3

Next, solve the exponents for 2³ and 3².

8 + 9 - 3

Add 8 to 9.

17 - 3

Subtract 3 from 17.

14

So, the answer to this equation from question 7 is 14.

4 0

4 years ago

A cook uses 2.5 cups of flour for each ounce of butter in a recipe.Which graph represents the relationship between the amount of

Mrac [35]

Answer:

To view the graph, go to desmos.com and start graphing, then type in: y/x=2/5 and the graph will appear

Step-by-step explanation:

The ratio 2:5, when represented in a graph, becomes y/x=2/5 and this means that if y is 2, then x is 5, and so on, and so forth.

3 0

4 years ago

DF is the altitude to the hypotenuse EC. What is the length of DE?

sladkih [1.3K]

Answer:

D

Step-by-step explanation:

Using the Altitude- on- hypotenuse theorem

DF² = CD × DE , substitute values

12² = 6 DE

144 = 6 DE ( divide both sides by 6 )

24 = DE → D

4 0

3 years ago

A right cylinder is inscribed in a sphere of radius r. How do you find the largest possible volume of such a cylinder?

satela [25.4K]

Answer:

Step-by-step explanation:

Suppose Radius of sphere is R and cylinder inscribed inside the sphere is r with height h

using Pythagoras theorem in shown triangle

$R^2=r^2+(\frac{h}{2})^2$

$r^2=R^2-(\frac{h}{2})^2$

Volume of cylinder is

$V=\pi \times r^2\times h$

$V=\pi \times (R^2-(\frac{h}{2})^2)\times h$

$V=\pi (R^2\cdot h-\frac{h^3}{4})$

differentiate V w.r.t to h we get

$\frac{\mathrm{d} V}{\mathrm{d} h}=\pi (R^2-\frac{3h^2}{4})$

Putting $\frac{\mathrm{d} V}{\mathrm{d} h}$ to get maxima/minima

$R^2=\frac{3h^2}{4}$

$h=\frac{2R}{\sqrt{3}}$

therefore radius r is given by

$r=\sqrt{\frac{2R}{3}}$

therefore volume is given by

$V=\frac{4}{3\sqrt{3}}\pi R^3$

5 0

3 years ago

the perimeter of the triangle is 61 inches. if two sides of the triangle are equal and the third side is 4 inches more than the

elena-s [515]

The equation can be modeled as

X + X + (X+4) = 61

X is used for all because they are all the same number and can be given the same variable

The third is given plus four so we can use a common variable

3x + 4 = 61

3x = 57 (subtracted four)

x = 19 (divided by three)

Solving for third side so x + 4

The third side is 23 inches

4 0

3 years ago

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