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3 years ago

What is the equation of a parabola that passes through the points (-5,-10), (-3,2) and (2,-3)?

Mathematics

1 answer:

pickupchik [31]3 years ago

4 0

Hi please mark me brainliest

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A right triangle has a perimeter of 24 cm and a hypotenuse of 10 cm. Find the length of the other two sides.

jekas [21]

Answer:

One of the sides is 6 cm and the other is 8 cm

Step-by-step explanation:

Let's call the unknown sides a and b. From the perimeter information (24 cm) we have:

a + b + hypotenuse = 24

a + b + 10 = 24

a + b = 14

b = 14 - a

So now we can right the Pythagorean theorem as follows:

$a^2 + b^2 = hypotenuse^2\\a^2 + (14-a)^2=10^2\\a^2+ 14^2-28\,a+a^2=100\\2\,a^2-28\,a +96=0\\2\,(a^2-14\,a+48)=0\\2\,(a^2-6\,a-8\,a+48)=0\\2(a\,(a-6)-8\,(a-6))=0\\2\,(a-6)\,(a-8)=0$

and from this expression in factor form to be zero a must be 6 or a must be 8.

Therefore the solutions are a = 6 (and therefore b = 14 - 6 = 8)

or a = 8 (and therefore b = 14 - 8 = 6)

7 0

3 years ago

Read 2 more answers

The mass of a freight train is 9.98 ⋅ 106 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 107 kilograms. Approximately how m

shutvik [7]

Mass of freight train: 9.98 • 106
= 1057.88 kg
mass of aircraft carrier: 7.3 • 107
= 781.1 kg
difference: 1057.88 - 781.1
= 276.78 kg
= 2.7678 x 10^2

8 0

3 years ago

The velocity-time graph for a cycle is shown

malfutka [58]

Answer:

a) 100m

b) 2m/s

Step-by-step explanation:

a)==>> 2+4+6+8+10(8) = 100m

b)==>> Variable "a" = change OVER time ( $\frac{change}{time}$ ) = 8m/4s = 2m/s

5 0

3 years ago

Vertex B is located at ( ____, ____ ). This is all it said no image

OLEGan [10]

Answer:

i believe its B= (1,5)

Step-by-step explanation:

7 0

4 years ago

Here are two rectangles.

Sophie [7]

Answer:

$AB=9.5\ cm$

Step-by-step explanation:

step 1

Find the length side PQ

we know that

The area of rectangle PQRS is given by

$A=(PQ)(QR)$

$A=66\ cm^2$

$66=(PQ)(QR)$

substitute the value of QR

$66=(PQ)(12)$

solve for PQ

$PQ=66/12\\PQ=5.5\ cm$

step 2

Find the length side AB

we know that

The perimeter of rectangle ABCD is given by

$P=2(AB+BC)$

we have

$P=30\ cm\\BC=PQ=5.5\ cm$

substitute

$30=2(AB+5.5)$

solve for AB

$15=AB+5.5\\AB=15-5.5\\AB=9.5\ cm$

6 0

3 years ago