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3 years ago

Excluded value of 9/2x

Mathematics

1 answer:

adell [148]3 years ago

3 0

X cannot be 0 because if it is, it would be undefined

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An after school music program has 15 out 50 students practicing. Write 15/50 (15 over 50) as a decimal and as a percent.

ValentinkaMS [17]

15/50 * 2/2 = 30/100
Now you can easily see decimal and percent form

Decimal: 0.30
Percent: 30 percent

7 0

3 years ago

Read 2 more answers

Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl

GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane $n=(-2,-2,1)$ , then r will have the next parametric equations:

$x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda$

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

$-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3$

Substitute the value of $\lambda$ in the parametric equations:

$x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\$

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

$d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u$

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3 years ago

Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angl

butalik [34]

Answer:

Midsegment of a Triangle Theorem

Step-by-step explanation:

Midsegment of a Triangle Theorem - is the right choice

<em>The Midsegment Theorem states that the segment connecting the midpoints of two sides of a triangle is parallel to the third side and half as long.</em>

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4 years ago

Help plz its a mathematical punnet square

yaroslaw [1]

Answer:

X 2 -7

-9 -18 126

3 -54 -6,804

1944 7.71

0.00396604938

Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

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3 years ago

Tickets to a dance performance cost $9 for adults and $5 for kids. A group purchased 15 tickets and spent a total of $91. How ma

dem82 [27]

Answer:9 adult tickets and 2 kid tickets

Step-by-step explanation:

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3 years ago