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alexandr1967 [171]
3 years ago
9

Match the following items by evaluating the expression for

Mathematics
1 answer:
stich3 [128]3 years ago
5 0

Answer:

x^-2 = 1/4

x^-1 = -1/2

x^0  = 1

x^1 = -2

x^2 = 4

Step-by-step explanation:

got it right

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Question and choices are in the photo please explain the answer
Natasha_Volkova [10]

Answer:

\text{A) }68\:\mathrm{cm}

Step-by-step explanation:

The perimeter of a polygon is equal to the sum of all the sides of the polygon. Quadrilateral PTOS consists of sides TP, SP, TO, and SO.

Since TO and SO are both radii of the circle, they must be equal. Thus, since TO is given as 10 cm, SO will also be 10 cm.

To find TP and SP, we can use the Pythagorean Theorem. Since they are tangents, they intersect the circle at a 90^{\circ}, creating right triangles \triangle TOP and \triangle SOP.

The Pythagorean Theorem states that the following is true for any right triangle:

a^2+b^2=c^2, where c is the hypotenuse, or the longest side, of the triangle

Thus, we have:

10^2+TP^2=26^2,\\TP^2=26^2-10^2,\\TP^2=\sqrt{576},\\TP=24

Since both TP and SP are tangents of the circle and extend to the same point P, they will be equal.

What we know:

  • TP=SP=24
  • TO=SO=10

Thus, the perimeter of the quadrilateral PTOS is equal to 24+24+10+10=\boxed{\text{A) }68\:\mathrm{cm}}

7 0
3 years ago
Read 2 more answers
How much warmer is 82 than 40<br> How much warmer
frez [133]

Answer:

42 degrees warmer.

Step-by-step explanation:

82 - 40 = 42

good luck:)

3 0
3 years ago
Given the equation f(x) = 2x² + 4x - 1, what is axis of symmetry? a. 1 c. -1 b. 2 d. 0
Irina-Kira [14]

Answer: x=-1

Step-by-step explanation:

the x value of the vertex = -b/2a if the equation is in "ax^2+bx+c" for

you are in luck

x value of the vertex = -4/4 = -1

the line of symmetry is a vertical line, and since it must pass through the vertex

line of symmetry: x=-1

4 0
3 years ago
Rewrite 50 - 15 using the distributive property and a common factor
Vesna [10]
It is not too difficult. Just do this
50-15
5(10-3)
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4 0
3 years ago
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a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils i
max2010maxim [7]

Answer:

325 pencils, 650 markers, 975 pens

Step-by-step explanation:

in picture.

8 0
2 years ago
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