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3 years ago

What's -45=10+5y equal

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

Answer: -11=y

-45=10+5y

Subtract 10 from 20 and -45

-55=5y

divide both numbers by 5

-11=y

Mamont248 [21]3 years ago

6 0

Answer:

$y= -11$

Step-by-step explanation:

$-45=10+5y\\-45-10= -55\\-55=5y\\\frac{-55}{5} = -11\\y= -11$

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I needs help with it

Slav-nsk [51]

Answer:

a) initial height = 0 m

b) 8 s

c) vertex = (4, 32)

maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

$h=-2t^2+16t$

where:

h is the height of the arrow about the ground (in metres)
t is the time (in seconds)

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

$\implies h=-2(0)^2+16(0)$

$\implies h=0$

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

$\implies -2t^2+16t=0$

Factor out -2t:

$\implies -2t(t-8)=0$

Therefore:

$\implies -2t=0 \implies t=0$

And:

$\implies t-8=0 \implies t=8$

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds. Therefore, t = 0 and t = 8 are the x-intercepts. The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

$\implies h=-2(4)^2+16(4)$

$\implies h=-32+64$

$\implies h=32$

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

6 0

2 years ago

What is the total surface area of the prism in square inches

Liono4ka [1.6K]

Answer:

Surface area of a square prism = 4 × (s × h) = 4sh, where, s is the length of the side of the square and h is the height of the square prism.

4 0

3 years ago

Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.

Vera_Pavlovna [14]

9514 1404 393

Answer:

x = 14°

y = 5°

Step-by-step explanation:

Angle COL is complementary to both 25° (∠AOC) and 5y (∠LOM). Then it must be true that ...

5y = 25°

y = 5° . . . . . . divide by 5

Similarly, angle MOB is complementary to angle LOM, so ...

90° -25° = 3x +23°

42° = 3x . . . . . subtract 23° and simplify

14° = x . . . . . . divide by 3

The values of x and y are ...

x = 14°
y = 5°

5 0

3 years ago

{6y^3+2y^2}{10y^2}= 10y 2 6y 3 +2y 2 =start fraction, 6, y, cubed, plus, 2, y, squared, divided by, 10, y, squared, end fracti

malfutka [58]

Answer:

y=0

Step-by-step explanation:

Definition:An expression is undefined at the value(s) at which the denominator equals zero.

We are to determine the value of y that makes the expression undefined.

$\dfrac{6y^3+2y^2}{10y^2}$

We equate the denominator to zero and solve for y.

$10y^2=0\\y^2=0\\y=0$

Therefore, at y=0, the given expression is undefined.

8 0

3 years ago

Which equation can be used to find A, the area of the parallelogram shown?

aniked [119]

<h3>Answer: A = 6 x 7 </h3>

Explanation:

The area of a parallelogram is equal to base times height.

The base and height are always perpendicular to one another. Usually the base is horizontal along the ground (if not then you'd need to rotate your paper until it is, but that step is optional).

The base is 6 meters and the height is 7 meters.

Therefore, area = base x height = 6 x 7

The side of 11 meters is not used at all. It's likely put in there as a distraction.

3 0

2 years ago

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What's -45=10+5y equal​

What's -45=10+5y equal