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4 years ago

(19x^2+12x+12)+(7x^2+10x+13)

Mathematics

2 answers:

Ivenika [448]4 years ago

8 0

Answer:

<h3> $\boxed{ \huge{ \boxed{ \bold{ \sf{26 {x}^{2} + 22x + 25}}}}}$ </h3>

Step-by-step explanation:

$\sf{(19 {x}^{2} + 12x + 12) + ( {7x}^{2} + 10x + 13)}$

Remove the unnecessary Parentheses

⇒ $\sf{19 {x}^{2} + 12x + 12 + (7 {x}^{2} + 10x + 13)}$

When there is a ( + ) in front of an expression in parentheses , the expression remains the same

⇒ $\sf{19 {x}^{2} + 12x + 12 + 7 {x}^{2} + 10x + 13}$

Collect like terms

⇒ $\sf{26 {x}^{2} + 22x + 12 + 13}$

Add the numbers

⇒ $\sf{26 {x}^{2} + 22x + 25}$

Hope I helped!

Best regards!

MatroZZZ [7]4 years ago

4 0

Answer:

$26x^2+22x+25$

Step-by-step explanation:

We remove the brackets, getting $19x^2+12x+12+7x^2+10x+13$ .

We then combine like terms, getting $(19+7)x^2+(12+10)x+(12+13)$ .

As a result, we get $26x^2+22x+25$ .

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Answer:

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Step-by-step explanation:

Since we have a right triangle, we can use trig functions

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Taking the inverse sin of each side

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3 years ago

Write the quadratic equation of the parabola that passes through (-2,5) and has a vertex of (1,-3)

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3 years ago

A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by –3.75 gallons in one hour. What is th

IRINA_888 [86]

Change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

<h3><u>Solution:</u></h3>

Given that

A clogged bathtub drains at a constant rate.

The amount of water in the bathtub changes by –3.75 gallons in one hour.

Need to determine change in the amount of water in the bathtub after 13 hour.

Change in amount of water in bathtub in one hour = -3.75 gallons

As given that clogged bathtub drains at a constant rate, so

Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours

=> Change in amount of water in bathtub in 13 hours = 13 x ( -3.75 ) = -48.75 gallons

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3 years ago

On a map, 3 centimeters represents 150 kilometers. If a line between two cities measures 4.5 centimeters, how many kilometers ap

SCORPION-xisa [38]

Answer: 225km

Step-by-step explanation:

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3 years ago

Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago