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weeeeeb [17]
3 years ago
8

H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 1

5 What is the height of the stone at the time it is thrown?
Mathematics
1 answer:
kkurt [141]3 years ago
5 0

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

H(x)=-5x^2+10x+15

At the time when the stone was thrown

x=0

Therefore:

H(0)=-5(0)^2+10(0)+15\\H(0)=15

The height of the stone at the time it is thrown is 15 units.

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An open box is to be constructed from a square piece of sheet metal by removing a square of side 6 feet from each corner and tur
den301095 [7]

Answer:

24 feet

Step-by-step explanation:

We are given that an open box is to be constructed from a square piece of sheet metal by removing a square side 6 feet from each corner and turning up the edges.

We have to find the dimensions of the sheet metal

Let x feet be the side of square  metal sheet

Length of box=x-12 feet (because 6 feet removed from each corner)

Width of box=x-12 feet

Height of box=6 feet

Volume of box=864 cubic feet

We know that volume of cuboid=l\times b\times h

Box is in cuboid shaped

Therefore, volume of box=6(x-12)(x-12)

6(x^2-24x+144)=864

x^2-24x+144=\frac{864}{6}

x^2-24x+144=144

x^2-24x+144-144=0

x(x-24)=0

Then ,x=0 , x-24=0

x=24

x=0 is not possible because side of square  metal sheet can not be zero

Therefore, x=24

All sides of square metal sheet are equal.

Hence, side of square metal sheet =24 feet

4 0
4 years ago
On a piece of paper, graph y < 3/4x + 2. Then determine which answer choiceu
guapka [62]

Answer:

Graph A is the answer

Step-by-step explanation:

4 0
3 years ago
What are the x- and y- coordinates of point P on the directed line segment from A to B such that P is One-third the length of th
krok68 [10]

Answer:

(-4,-5)

Step-by-step explanation:

Hope this helps :)

3 0
3 years ago
Read 2 more answers
13 Calculate the area of a circle with radius 14 cm.
lapo4ka [179]

Answer:

{ \tt{formular : {area = \pi {r}^{2} }}} \\ area = 3.14 \times  {14}^{2}  \\  \\ { \bf{answer : { \tt{area = 615.75 \:  {cm}^{2} }}}} \\  \\ { \underline{ \blue{ \tt{⚜becker \: jnr}}}}

3 0
3 years ago
Read 2 more answers
How do you do this?
Oduvanchick [21]

Answer:

∠RQS=72 ∠SQT=83

Step-by-step explanation:

4x-20+3x+14=155

7x-6=155

7x=161

x=23

∠RQS=23*4-20=92-20=72

∠SQT=155-72=83

5 0
3 years ago
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