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2 years ago

Jillian measured how far each of her paper airplanes flew in feet.

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

4 0

Answer:

Step-by-step explanation:

there are 12 inches per foot, so if five feet is equal to 60 inches then just add 12 and you get 72. 6 feet would be equal to 72 inches

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The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

2 years ago

A kitchen floor has 15 1/2 tiles in an area of 2 2/5 square feet. How many tiles are in one square foot?

Marat540 [252]

6 2/5 is the answer, because 15 1/2 divided by 2 2/5 is 6 2/5

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2 years ago

Solve for x. + 5 = 30

sp2606 [1]

Answer:25

Step-by-step explanation:

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3 years ago

Simplify the expression. n+ 3(n + 1) = 0

laila [671]

Answer:

n=-3/4

Step-by-step explanation:

4 0

2 years ago

I need the answers for these please

Luda [366]

11.p=-8, 17-8=9
12.y=11, 3*11=33+16=46
13.t=4, 4*4=16-14=2
14.x=9, -9x 9*8=82-9=72-9=62
15.z=4, 12*4=48-18=30
16.g=0, 4*0=0, 7+0=7
17.x=4, 9*4=36-24=-3
18.q=3, 18*3=48+2=50
19.c=2, 3*2=6-4.5=4.1
20.y=4, 9+4=13+4.8=17.4

8 0

3 years ago