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3 years ago

9

What is an equation of thebline that is parallel to y=4x-1 and that passes through point (-3,5)

1 answer:

Hunter-Best [27]3 years ago

5 0

Answer:

The equation would be y = 4x + 17

Step-by-step explanation:

To find this line, start with the slope. Since it is parallel to the first line and parallel lines have the same slope, we know the slope to be 4. Given this we can use point-slope form and solve for y to get the equation.

y - y1 = m(x - x1)

y - 5 = 4(x + 3)

y - 5 = 4x + 12

y = 4x + 17

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Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 $mm^3$

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 $mm^3$

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

$=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

$=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

$=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

= 67.5 $mm^3$

5 0

3 years ago

5. How many solutions does this system of equations have?

Diano4ka-milaya [45]

Answer:

$\text{\boxed{\sf{D. \ No\ solution}}}$

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<h3>y=-4x-9 and y=-4x-1</h3>

First, you have to substitute of y=-4x-1.

$\Longrightarrow: \sf{[-4x-1=-4x-9]}$

<u>Add by 4x from both sides.</u>

$\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}$

<u>Solve.</u>

$\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}$

<u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0

2 years ago

Express the radical using the imaginary unit, i

Kipish [7]

Answer:

7i.

Step-by-step explanation:

Note : The given expression must be $\sqrt{-49}$ .

We have to write this radical value in the imaginary value.

The given value can be rewritten as

$\sqrt{-49}=\sqrt{49\times (-1)}$

$\sqrt{-49}=\sqrt{49}\times \sqrt{-1}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$\sqrt{-49}=7\times i$ $[\because \sqrt{-1}=i]$

$\sqrt{-49}=7i$

Therefore, the required expression is 7i.

8 0

3 years ago

Please give me an explanation of stem leaf plot problem and the answer in this problem.

Ksivusya [100]

Answer:

the 3rd one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the simplified term<br> (6^2)(-3^5)

AVprozaik [17]

Answer:

-8748

Step-by-step explanation:

(6^2)(-3^5)

(6 x 6)(-3 x-3 x-3 x -3 x -3)

(36)(-243)

36 x -243

-8748

5 0

3 years ago