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2 years ago

I dont know how to do this one

Mathematics

1 answer:

-BARSIC- [3]2 years ago

7 0

Answer:

$2\sqrt{34}$

Step-by-step explanation:

We can add a line to create a triangle and a rectangle. The triangle will have side lengths 10 and 6. Furthermore, it will be a right triangle, meaning we can apply the Pythagorean Theorem to find x, the hypotenuse.

$6^2 + 10^2 = x^2\\x = \sqrt{6^2 + 10^2}\\ = \sqrt{136} \\= 2\sqrt34}$

hope this helped! :)

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Quadratic formula to find the zeros <br> b^2-4b+4=0

Lunna [17]

Answer:

Step-by-step explanation:

Remark

I don't think you need the quadratic formula for this equation. It just factors into (b - 2)(b - 2), but I'll do it because you requested it.

Formula

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

Givens

a = 1

b = - 4

c = 4

Solution

x = - - 4 +/- sqrt((-4^2) - 4*1*4)

====================

2*1

x = 4 +/- sqrt (16 - 16)

==========

x = 4/2

x = 2

There are 2 roots but both of them are the same. Some teachers say there is only 1 root. I'm in that group.

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2 years ago

Two parallel lines are cut by a transversa

Strike441 [17]

What is the question?

8 0

2 years ago

Can someone help me figure out what 40% of 65 is?

Akimi4 [234]

Answer:

Step-by-step explanation:

Convert 40% to a decimal

40% = 0.4

Multiply 0.4 with 65

0.4 • 65 = 26

40% of 65 is 26

7 0

3 years ago

Read 2 more answers

Let L be the line parametrized by x = 2 + 2t, y = 3t, z = −1 − t. (a) Find a linear equation for the plane that is perpendicular

Elden [556K]

Answer:

Step-by-step explanation:

Given that L is a line parametrized by

$x = 2 + 2t, y = 3t, z = −1 − t$

The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z

i.e. (2,3,-1)

So equation of the plane would be of the form

$2x+3y-z =K$

Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.

$2(2)+3(0)-(-1) =K\\K =5$

So equation is

$2x+3y-z =5$

b) Substitute general point of L in the plane to find the intersecting point

$2(2+2t)+3t-(-1-t) =5\\4+8t+1=5\\8t=0\\t=0\\(x,y,z) = (2,0,-1)$

i.e. same point given.

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3 years ago

a storage box can hold 810 cubic feet of sugar. If the box is 9 feet wide and 10 feet long, how deep is it?

IgorC [24]

The storage box is 9 feet deep.
Hope this helps!

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2 years ago