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Vladimir [108]
3 years ago
6

Sarah is creating a circle graph to summarize survey results. What percentage must section x represent?

Mathematics
2 answers:
Alecsey [184]3 years ago
7 0
11% is the answer
Hope this helps good luck
defon3 years ago
3 0
11% the answer is that because 32 +18= 50 then 26+13=39 add 50 and 39 it = 89 then left is 11 so 11%
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(a) Find a vector parallel to the line of intersection of the planes −4x+2y−z=1 and 3x−2y+2z=1.
valentinak56 [21]

Find the intersection of the two planes. Do this by solving for <em>z</em> in terms of <em>x</em> and <em>y </em>; then solve for <em>y</em> in terms of <em>x</em> ; then again for <em>z</em> but only in terms of <em>x</em>.

-4<em>x</em> + 2<em>y</em> - <em>z</em> = 1   ==>   <em>z</em> = -4<em>x</em> + 2<em>y</em> - 1

3<em>x</em> - 2<em>y</em> + 2<em>z</em> = 1   ==>   <em>z</em> = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -4<em>x</em> + 2<em>y</em> - 1 = (1 - 3<em>x</em> + 2<em>y</em>)/2

==>   -8<em>x</em> + 4<em>y</em> - 2 = 1 - 3<em>x</em> + 2<em>y</em>

==>   -5<em>x</em> + 2<em>y</em> = 3

==>   <em>y</em> = (3 + 5<em>x</em>)/2

==>   <em>z</em> = -4<em>x</em> + 2 (3 + 5<em>x</em>)/2 - 1 = <em>x</em> + 2

So if we take <em>x</em> = <em>t</em>, the line of intersection is parameterized by

<em>r</em><em>(t)</em> = ⟨<em>t</em>, (3 + 5<em>t</em> )/2, 2 + <em>t</em>⟩

Just to not have to work with fractions, scale this by a factor of 2, so that

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

(a) The tangent vector to <em>r</em><em>(t)</em> is parallel to this line, so you can use

<em>v</em> = d<em>r</em>/d<em>t</em> = d/d<em>t</em> ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩ = ⟨2, 5, 2⟩

or any scalar multiple of this.

(b) (-1, -1, 1) indeed lies in both planes. Plug in <em>x</em> = -1, <em>y</em> = 1, and <em>z</em> = 1 to both plane equations to see this for yourself. We already found the parameterization for the intersection,

<em>r</em><em>(t)</em> = ⟨2<em>t</em>, 3 + 5<em>t</em>, 4 + 2<em>t</em>⟩

3 0
2 years ago
Jamall had 170 baseball cards after he gave some of the cards to his brother he had 94 cards left how many baseball cards to Jam
weeeeeb [17]

The answer is 76

I hope this helped you.

4 0
2 years ago
Read 2 more answers
The length of a rectangle is 18 centimeters less than five times it's width. It's area is 35 square centimeters. I need to find
Fiesta28 [93]
\frac{(5x-18)(x)}{2} =35
(5x-18)(x)=70
5x^2-18x-70=0
By the time you factorize this, you will get
x = 5.9521078984053 or <span>-2.3521078984053
</span>Please mark me as brainliest.
4 0
3 years ago
Is the question is x(x2-2) then what would be the answer
Nitella [24]
<span>x(2x-2)
distribute the x to get our answer of
2x^2-2x


</span>
5 0
3 years ago
Help please!!!!!!!!!<br> A. (1, -2)<br> B. (1, 2)<br> C. (2, -1)<br> D. Infinite number of solutions
Maru [420]

Answer:

(1, -2)  Option A in your list of possible answers

See attached image.

Step-by-step explanation:

We need to graph the lines by using a couple of points on the plane for each equation.

For example:

the points (0, -3)  and (3, 0) for the line  y = x - 3

and the points (0, 1) and (-1, 4) for the line  y = - 3 x + 1

Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.

4 0
2 years ago
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