Factor the expression.
Show your work

x²+3xy−18y²

Answers

Answer 1

Answer:

(x + 6y)(x - 3y)

Step-by-step explanation:

Given

x² + 3xy - 18y²

Consider the factors of the coefficient of the y² term (- 18) which sum to give the coefficient of the xy- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , then

x² + 3xy - 18y² = (x + 6y)(x - 3y)


Related Questions

find the gradient of the line segement between the points (0,-6) and (2,-16)

Answers

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Use the following numbers, 4, 30, and 21 to create an equation equal to 1. You may only use each number once. You can use any operation you want to.

Answers

Answer:

sqrt(30-21)-sqrt(4)=1

Step-by-step explanation:

I found that sqrt(30-21)-sqrt(4)=1 since sqrt(30-21)=sqrt(9)=3 and sqrt(4)=2 so 3-2=1

Solve the system of equations and choose the correct answer from the list of
options.
d + e = 12
-d + e = -8
Label the ordered pair as (d, e).
1) (0,0)
2) (2, 10)
3) (10,2)
4) (12,0)

Answers

Answer:

3) =(10,2) is correct because

(d,e) = (10,2) respectively

then, d±e

10±2

12

-d±e

-10±2

-8

Find the line of best fit​!!

Answers

Answer:

your right the answer is b

Step-by-step explanation:

A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill the well?​

Answers

Answer:

volume = 4710 ft³

Step-by-step explanation:

base area = πr² = (3.14)(10²) = 314 ft²

volume = base area x height = 314 x 15 = 4710 ft³

3c+6=18 how do you work this problem?

Answers

Answer:

c = 4

Step-by-step explanation:

Simplifying

3c + 6 = 18

Reorder the terms:

6 + 3c = 18

Solving

6 + 3c = 18

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + 3c = 18 + -6

Combine like terms: 6 + -6 = 0

0 + 3c = 18 + -6

3c = 18 + -6

Combine like terms: 18 + -6 = 12

3c = 12

Divide each side by '3'.

c = 4

Simplifying

c = 4

Answer:

Step-by-step explanation:

subtract six from both sides

3c+6-6=18-6

simplify

3c=12

divide both sides by 3

3c/3 =12/3

c=4

what’s the value of x
a. 25°
b. 50°
c. 55°
d. 75°
e. 80°

Answers

Answer:

7 × 5 × 8 + 25% of 996 (a) 25 (b) 13 (d) 17 (e) 23 70. ... If maximum marks for each subject are 100 then find what percentage of total marks ... Then find the value of X ? (a) 6 months (b) 9 months (c) 8 months (d) 7 months (e) 10 months 79. ... Maths Paul 75 65 90 55 Aditya 70 85 60 Neeraj 80 50 85 95 Sandy 55 65 70 65 71.

Step-by-step explanation:


HELP PLZZZZZZZZ
1 pt. 5) What is the y-intercept for the equation: 5x – 3y = 30
y = -10
y = 5
y = 30
y = -3

Answers

Answer:

Hi! The answer to your question is A. [tex]Y= -10[/tex]!

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!!

Stay Safe!!

- Brooklynn Deka

13 km

5 km
What is the length of the missing leg?

Answers

Pythagoras' theorem:
b^2 = c^2 - a^2
Substitute in the values:
b^2 = 13^2 - 12^2
b^2 = 25
Square root it
b = 5km
The answer is option B. 5km

 What is the volume of this cone?

Answers

Answer:

C) volume = 84.8 m³

Step-by-step explanation:

volume = 1/3πr²h = 1/3(3.14)(3²)(3) = 84.8 m³

Answer:

[tex]volume = 28.3m^3[/tex]

Step-by-step explanation:

[tex]volume \: of \: cone = \frac{1}{3} \times 3 \times 3.14 \times { 3}^{2} = 28.3{m}^{3} [/tex]

Q1
Thomas bought a pair of shoes at the mall
. He paid for them a week later when the bill came in the mail.
Which method of payment did Thomas use?
c. Credit card
b. Check
d Cash
a Debit card

Answers

I’m pretty sure it’s check

Line A has the equation 4x+3y=12. Line B is parallel to Line A and has a y- intercept of 2. What is the equation of the Line B in slope-intercept form?​

Answers

Answer: A: y= -4/3x + 2

Step-by-step explanation: By working out the problem this is what I ended up with.

Answer this question to get marked as barinliest!!!!!

Answers

Answer:

d

Step-by-step explanation:

Answer:

148.877 cubic meters.

Step-by-step explanation:

To find the volume of a cube, multiply the side length by itself 3 times (x^3).

Like this,

5.3 ⋅ 5.3 ⋅ 5.3 = 148.877

148.877 is the product.

Therefore, 148.877 is the volume of this cube.

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:

The floor function maps any humber to the greatest integer that is _[blank] the number.
Which phrase correctly fills in the blank of the previous statement?

Answers

Answer:

Less Than or Equal to

Step-by-step explanation:

In mathematics and computer science, the floor and ceiling functions map a real number to the greatest preceding or the least succeeding integer, respectively. floor(x) : Returns the largest integer that is smaller than or equal to x (i.e : rounds downs the nearest integer).

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP

Answers

Answer:

70 degrees total degree 540

Please help me out.❤️

Answers

Answer:

7

Step-by-step explanation:

Write the numbers lowest to greatest

16  18 20 21 25 42

range is  25- 18 = 7

d (1) = 3 d(n)-d(n-1)-14 Find the 3 er term of the succession.​

Answers

Answer:

1/2  pls give me brainly :D

Explanation: Is snip

Which of the segments below is a secant?

A. XB
B. OB
C. XV
D. XY

Answers

A secant of a curve is a line that intersects the curve at a minimum of two distinct points.

So the answer is D. XY

The solution is : D. XY,  is of the segments below is a secant.

What is circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

A secant is a line which intersects a circle at exactly two different points and leaves a chord on joining those two points.

again, we know,

A chord is a line which which terminates on the two different points on the circle.

and, we have,

Radius is the line joining the center to any of the point on the  circle.

we know,

Tangent is a line which crosses from the outer periphery of the circle touching at any of its one point.

we get,

Thus the secant in the given diagram is clearly none other than XY.

Hence, The solution is : D. XY,  is of the segments below is a secant.

Learn more about circle here:

brainly.com/question/11833983

#SPJ7

) What is the Diameter of a circle that has a Radius of 5in?

Answers

The Diameter will be 10in!
The radius is always half of the circles diameter so multiply the radius by 2 and you get your diameter :)

What is 1/3 divided by 5 I’m so confused lol

Answers

The answer should be 0.06

A triangle has vertices at (-2, 1), (1, 1), and (1, -3). Find its area and round to the nearest whole number if necessary.do not include units in your answer

PLEASE HELP ME

Answers

Answer:

6

Step-by-step explanation:

Plot the points and connect in pairs.

We got a right triangle.

The legs have the length:

1 - (-2) = 3 units and1 - (-3) = 4 units

The area of the triangle is:

A = 1/2bh A = 1/2*3*4 = 6  square unit

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Answer:

the scale is x4

because 10x4=40

11x4=44

18x4=72

you multiply by 4 on all of them

Step-by-step explanation:

If the domain of the function f(x) = –2x^2 – 3 is {-1,2,5), then the range is
A. {-53-11, 5)
B. {1, 13,97)
C. {-13,-7, -1)
D. {-13,-11, 1)

Answers

Answer:

Answer A

Step-by-step explanation:

Evaluate f(x) = -2x^2 - 3 at each element in {-1, 2, 5}:

f(-1) = -2(-1)^2 - 3 = -5

f(2) = -11

f(5) = -53

These results match the outputs in Answer A.

Carlos was studying whether or not eating fast food had a effect on a person's weight. He surveyed 100 people and recorded the
number of times they ate fast food per week and their weight. Carlos then calculated the correlation value and got a value of 0.93.
Which conclusion could Carlos make?
es )
A)
Eating fast food does not cause an increase in a person's weight.
B)
There is no relationship between eating fast food and a person's weight
0
There is a strong positive relationship between a person's weight and
eating fast food.
D)
There is a definite cause and effect relationship between eating fast food
and gaining weight.

Answers

Answer: C

Step-by-step explanation:

I got this right

A new field has a perimeter of 220 m and a width of 62 m. A bag of canola seed will cover 185 m2 of ground. How many bags of canola seed are needed to seed the new field?
52
16
53
17

Answers

Answer:

17

Step-by-step explanation:

Assuming the field is a rectangle, the perimeter is found through the equation:

[tex]P = 2l + 2w[/tex]

Since we know the perimeter and width, we can substitute and solve for the length.

[tex](220) = 2l + 2(62)\\220 = 2l + 124\\96 = 2l\\l = 48\\[/tex]

Using the length and width, we can find the area.

[tex]A = lw\\A = (48)(62)\\A = 2976[/tex]

The area is 2976 squared meters. We divide by the area a bag of canola seed can cover and round up if necessary to find the total number of bags.

[tex]n = 2976 / 185\\n = 16.09[/tex]

Because we need a whole bag in order to cover for the decimal area, we round up to 17 bags.

Which pair of angles are alternate exterior?????

Answers

1 and 8 are alternate exterior

Find the volume of the cone.
13 cm
r= 9 cm

Answers

Answer:

1,102.7cm³

Step-by-step explanation:

πr²[tex]\frac{h}{3}[/tex]

3.14x9^2x[tex]\frac{13}{3}[/tex]= 1102.7cm³

1102.7 to nearest tenth= 1102.7cm³

Please Help ASAP no links

Answers

Answer:

.

Step-by-step explanam m, mntion:

.

Help help help help Dont send a link Help me

Answers

The answer is true correct me if wrong
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