All categories

2 years ago

Find the sum of -8x^2+3 and -9x^2+10x-10

Mathematics

1 answer:

nirvana33 [79]2 years ago

3 0

Answer:

-17x² + 10x - 7

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

-8x² + 3 - 9x² + 10x - 10

Step 2: Simplify

Combine like terms (x²): -17x² + 3 + 10x - 10
Combine like terms: -17x² + 10x - 7

You might be interested in

Find parametric equations for the path of a particle that moves along the circle x2 + (y − 1)2 = 16 in the manner described. (En

ArbitrLikvidat [17]

Answer:

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ , c) $x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$ , $y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$ .

Step-by-step explanation:

The equation of the circle is:

$x^{2} + (y-1)^{2} = 16$

After some algebraic and trigonometric handling:

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = 1$

$\frac{x^{2}}{16} + \frac{(y-1)^{2}}{16} = \cos^{2} t + \sin^{2} t$

Where:

$\frac{x}{4} = \cos t$

$\frac{y-1}{4} = \sin t$

Finally,

$x = 4\cdot \cos t$

$y = 1 + 4\cdot \sin t$

a) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

b) $x = 4\cdot \cos t$ , $y = 1 + 4\cdot \sin t$ .

c) $x = 4\cdot \cos t''$ , $y = 1 + 4\cdot \sin t''$

Where:

$4\cdot \cos t' = 0$

$1 + 4\cdot \sin t' = 5$

The solution is $t' = \frac{\pi}{2}$

The parametric equations are:

$x = 4\cdot \cos \left(t+\frac{\pi}{2} \right)$

$y = 1 + 4\cdot \sin \left(t + \frac{\pi}{2} \right)$

7 0

3 years ago

What is the density of a paperclip with a volume of 2 ml and a mass of 3 grams?

nirvana33 [79]

Answer:

1.5 grams per millimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 3 by 2 and you are done.

4 0

2 years ago

Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang

andreev551 [17]

Answer:

a) The tree is 32.98 feet tall.

b) The bird is 50.21 feet high in the air.

c) The Bird is 17.23 feet far above the Tree.

Step-by-step explanation:

From the attached diagram, please familiarize yourself with the statement drawn out and the points drawn out for better understanding.

Note that Line CD is the ground level and Line QE is the Wendy's eyes height.

1) How tall is the tree (Line BC)

line BC (tree height) => QC + QB

Line ED = QC, ∴ QC = 5 ft

Since <BEQ = 25° and CD = QE, ∴ QE = 60ft all in triangle BEQ

Therefore Tan 25° = BQ/60

BQ = 60 (0.4663)

BQ = 27.98 ft

tree height => QC + QB = 5 ft + 27.98 ft ==> 32.98 ft

2) How high is the bird in the air? (Line AC)

line AC (bird height) => QC + QA

Line ED = QC, ∴ QC = 5 ft

Since <AEQ = 37° and CD = QE, ∴ QE = 60ft in triangle AEQ

Therefore Tan 37° = QA/60

QA = 60 (0.7536)

QA = 45.21 ft

bird height => QC + QA = 5 ft + 45.21 ft ==> 50.21 ft

3) How far above the tree is the bird?

The difference between the bird height and the tree height = Line AC - Line BC

= 50.21 ft - 32.98 ft

= 17.23 ft

8 0

3 years ago

What is the distance between (7, -7) and (2, 5) on the coordinate plane? 5 units 17 units 7 units 13 units

olchik [2.2K]

The answer is, "13 units."

You can calculate this by using the distance formula.

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(2-7)²+(5-(-7))²

d=√-5²+12²

d=√25+144

d=√169

d=13

The distance between (7, -7) and (2, 5) is 13 units.

3 0

2 years ago

Martha rolls two number cubes. What is the probability that both number cubes come up even?

Greeley [361]

The answer would be 2 I think

8 0

2 years ago

Read 2 more answers