Write a quadratic equation that has an AOS at x = -6 and a maximum of 5 and no vertical stretch or shrink.

Mathematics

1 answer:

romanna [79]3 years ago

5 0

Answer:

(x+6)^2+5

Step-by-step explanation:

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The shortest side of an isosceles triangle is 26 cm less than twice as long as the other sides. The perimeter of the triangle is

densk [106]

Answer:

22 cm, 24 cm, and 24 cm.

Step-by-step explanation:

Isosceles Triangle is a type of triangle in which two of the three sides are equal in length. The perimeter is 70 cm. Therefore, in this question, since the sides are unknown, we can assume that:

Length of the shorter side = x cm.

Length of the other sides = y cm.

The relationship between x and y is given by:

x = (2y - 26) cm (because it is mentioned that the shortest side is 26 cm less than twice as long as the other sides).

Perimeter of a triangle = sum of all sides.

Since its an isosceles triangle, therefore:

Perimeter of the triangle = x + 2y.

Substituting the values in the perimeter formula gives:

Perimeter of the triangle = 2y - 26 + 2y.

70 = 4y - 26.

4y = 96.

y = 24 cm.

Substituting y = 24 in the equation x = 2y - 26 gives x = 2(24) - 26 = 22 cm.

So in the ascending order, the lengths are 22 cm, 24 cm, and 24 cm!!!

8 0

4 years ago

How many cubic centimeters of water can this paper cone cup hold?

blagie [28]

48π cm^3

Step-by-step explanation:

The formula for the volume of a cone is...

$V=\frac{1}{3}\pi r^2h$

We can plug everything we know from the photo into the equation, but note that the picture gives us the diameter, which is 8, instead of the radius. The radius is half of the diameter, so the radius will be 4. Also we will be leaving pi as it is, instead of changing it to 3.14.

$V=\frac{1}{3}*(\pi *4*4*9)$