MATHEMATICS HIGH SCHOOL

-9x + 12x + 10 simplifies to

Answers

Answer 1

Answer:

Answer:

$\boxed{\sf 3x + 10}$

Step-by-step explanation:

Simplify the following:

⇒-9 x + 12 x + 10

Grouping like terms:

⇒(12 x - 9 x) + 10

12 x - 9 x = 3 x:

⇒3 x + 10

Answer 2

Answer: 3x+10 because you have to combine -9x and 12x which will give you 3x. Then the 10 can’t go to 3x because they aren’t like terms. So your answer is 3x+10.

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Find the maximum/minimum value of the function y = x2 - (5/3)x + 31/36.A. 1/6

B. 5/6

C. 25/36

D. 10

Answers

Answer:

Step-by-step explanation:

Given a parabola in standard form, y = ax² + bx + c ( a ≠ 0 ), then

minimum/ maximum value is the y- coordinate of the vertex.

The x- coordinate of the vertex is

$x_(vertex)$ = - $(b)/(2a)$

y = x² - $(5)/(3)$ x + $(31)/(36)$ ← is in standard form

with a = 1 and b = - $(5)/(3)$ , thus

$(x)/(vertex)$ = - $(-(5)/(3) )/(2)$ = $(5)/(6)$

Substitute this value into y

y = ( $(5)/(6)$ )² - $(5)/(3)$ ( $(5)/(6)$ ) + $(31)/(36)$

= $(25)/(36)$ - $(25)/(18)$ + $(31)/(36)$ = $(1)/(6)$

Since a > 1 then the vertex is a minimum, thus

minimum value = $(1)/(6)$ → A

Find the area of the figure to the nearest tenth.a.

77.9 sq mm

c.

70 sq mm

b.

72.5 sq mm

d.

540 sq mm

Answers

Look at the picture in the attachment.
The area of the figure is equal to the sum of the areas A₁ and A₂.

$A_1=9 \ mm * 4.8 \ mm=43.2 \ mm^2 \nA_2=(9 \ mm * 7.7 \ mm)/(2)=(69.3 \ mm^2)/(2)=34.65 \ mm^2 \n \nA=43.2 \ mm^2 + 34.65 \ mm^2=77.85 \ mm^2 \approx 77.9 \ mm^2$

The answer is A.

‼️Please help‼️
Find the value of x and RT if RS=24 cm

Answers

RS = RT + TS = 24 cm

Let's plug our values into the equation above

24cm = 6x - 4 + 10cm

Combine like terms

24 cm = 6x + 6 cm

Subtract 6 cm from both sides

18 cm = 6x

Divide both sides by 6

3 = x

Plug 3 into the expression for RT

RT = 6(3) - 4 = 18 - 4 = 14 cm

Similarly, we know that TS = 10 cm and RS = 24 cm

24 cm - 10 cm = 14 cm

RT = 14 cm

14 cm = 6x - 4

Add 4 to both sides

18 cm = 6x

Divide both sides by 6

3 = x

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

Answer:

∠H = 122°

Step-by-step explanation:

This is a 5-sided polygon. That means the sum of all the angles must equal 540°.

∠H + 107° + 97° + 130° + 84° = 540°

∠H = 540° - (107° + 97° + 130° + 84°)

∠H = 540° - 418°

∠H = 122°

The answer is 122 degrees. Pentagons add up to 540 degrees and if you subtract all the other angles you are left with 122, which is also the exact angle of the pentagon to the right if you were to translate it over.

The Y is the diameter

Find Y

Area of the circle

Answers

Answer:

Y = 22.56 cm

Step-by-step explanation:

To find the diameter Y of the circle we must first find the radius of the circle

Area of a circle = πr²

where

r is the radius

From the question

Area = 400cm²

Substitute the value into the above formula and solve for the radius

That's

400 = πr²

Divide both sides by π

We have

${r}^(2) = (400)/(\pi)$

Find the square root of both sides

$r = \sqrt{ (400)/(\pi) }$

radius = 11.28 cm

Since we have the radius we can use it to find the diameter Y using the formula

diameter = radius × 2

radius = 11.28

Y = 11. 28 × 2

We have the final answer as

Y = 22.56 cm

Hope this helps you

1. In winter with heavy snow, the animals in Yellowstone cannot freely roam to find food,
so hay is dropped for them from helicopters. A helicopter is 180 feet above the ground
drops a bale of hay while the helicopter itself is rising at 32 feet per second. The height (S)
in feet of the bale as a function of time is given by:s(t) = -16t2 + vit + Si
where t is the time since the bale was dropped off the helicopters (in seconds), V is the
initial velocity, and Si is the initial height.

Answers

Answer:

Step-by-step explanation:

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