Find the sum.
5
2a
a? + 2a + 1
+
a2 + 4a + 3

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Answer:

m = -1/3

Step-by-step explanation:

To find our m in y = mx + b, (our slope is m), we use slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]

We are given 2 points, so we plug it into the slope formula:

[tex]m = \frac{2-4}{3-(-3)}[/tex]

m = -1/3

So our slope is -1/3.

Answer:

-1/3

Step-by-step explanation:

Slope can be found by finding the change in y/change in x

change in y= 2-4 = -2

change in x= 3- (-3) = 6

-2/6 is the slope which can be simplified to -1/3

Answer:

(-4,8)

Step-by-step explanation:

(-1, 2) => (x, y)

is translated 6 units up => 2+6 = 8

3 units left => -1-3 = -4

the coordinates of A′ => (-4, 8)

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Answer:

b. is correct

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Answer:

2144.66

Step-by-step explanation:

V = 4/3 π r^3

Answer:2144.66

Step-by-step explanation:

formula for volume of a sphere- v=4/3 pi r^3

v=4/3 pi 8^3

V= 4/3 pi 512

v=2048pi

v=2144.66

Answer:

Answer: Choice C)  

Stretched vertically, flipped over x axis, shifted 7 units down

Step-by-step explanation:

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

A cubic function is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants and a ≠ 0. It has a degree of 3 and has 3 possible roots.

We have the following functions -

f(x) = x³

g(x) = -2x³

The graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2. Refer to the graph attached.

Therefore, the graph of g(x) is graph of f(x) reflected along the y - axis. Its magnitude is also multiplied by 2.

To solve more questions on straight lines, visit the link below-

https://brainly.com/question/3515440

#SPJ5

Answer:

45

Step-by-step explanation:

angle 7 is right angle because its congruent to 4 by alt.int.angles

so if its isosceles,

180-90=90

90/2= 45

angle 5 = 45

Answer: y=-1x+0

so,  y=-1x

Answer:

There are no solutions.

Step-by-step explanation:

1y+6=26+1y

Add -1y and -6 on both sides.

1y-1y=26-6

Factor out y.

y(1-1)=20

y(0)=20

0=20

There are no solutions for y.

Answer:

729

Step-by-step explanation:

x=

9^3=729

729×(9/9^6)

9/9=1

1^6=1

Therfore, 729×1=729

Answer:

75 is the required answer.

Step-by-step explanation:

Length of missing side = S

(45xS)/2 = 1350

S = 60

Hypotenuse = √(45^2 + 60^2) = 75

Best Regards!

Answer:

x = 3

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

10x + 2 is an exterior angle of the triangle, thus

10x + 2 = 2x + 1 + 25

10x + 2 = 2x + 26 ( subtract 2x from both sides )

8x + 2 = 26 ( subtract 2 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

Answer:

gradient = 3

Step-by-step explanation:

Calculate the gradient using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 6, 4) and (x₂, y₂ ) = (- 4, 10)

m = [tex]\frac{10-4}{-4+6}[/tex] = [tex]\frac{6}{2}[/tex] = 3

Answer:

i hope its clear . the answer is 3 .

Isabella earns $9.50 per hour. She would've earned $475 for the entire 50 hours.

Answer:

Isabella earns $9.50 per hour. She earned $475 for the 50 hours.

Step-by-step explanation:

Answer:

6 × 10^9

Step-by-step explanation:

( 2 × 10^5 ) × ( 3 × 10^4 )

Rearrange.

2 × 3 × 10^5 × 10^4

Multiply and apply the law of exponents.

6 × 10^(5+4)

6 × 10^9

Hello, I'd like to answer your question. So first, you write an equation for this question:

Equation: (2×10^5)×(3×10^4)

(2×10^5)×(3×10^4), then here are the steps:

Always use the Order of Operation.

() - Parenthesis

^x - Exponents

×/÷ - Multiplication/Division

+/- - Addition/Subtraction

So, in the parenthesis, there is an exponent. We solve that first.

10^5=100,000

10^4=10,000

Now, multiply these two.

(2×100,000)=200,000

(3x10,000)=30,000

Now, the answer is:

200,000×30,000=6000000000

Thus, we can write it simplified.

6×10^9 is the answer.

Answer:  Most Viable: On a coordinate plane, a straight line with a positive slope begins at point (0, 0), and ends at point (2.5, 5).  

Also possible, but only if someone scoops exact amounts (maybe pre-packaged for people who don't want to do their own scooping.): On a coordinate plane, blue diamonds appear at points (0, 0), (1, 2), (2, 4).

Step-by-step explanation:

The line beginning at (0,0) ending at (2.5, 5)  represents all the prices for any amount that the customer scoops.  for example, $5 for 2 1/2 pounds or $1 for 1/2 pound or  $2 for 1 pound would all be represented in the graphed line.

The graphs with negative values don't make sense. You can't scoop negative pounds!

Again, good descriptions but difficult to sort out. Are you able to hit [enter] or [return] between options, or attach a screenshot?

Answer:

2pin1,n€Z

2pin2+pi,n2€Z

Step-by-step explanation:

maybe, but I'm not sure

Answer:

(i) The slope of line 'T' is 2.

(ii) The slope of line 'R' is -[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

(i) A line 'T' is parallel to line whose equation is; 3y = 6x + 9

We are to find the slope of this line;

The slopes of two parallel lines is the same.

To put the equation of our second line in cartesian plane format;

3y = 6x + 9

Dividing throughout by 3 we get;

y = 2x + 3

So the slope of our line is 2 and so the slope of the line 'T' is 2.

(ii) Another line 'R' is perpendicular to the line whose equation is 3y = 6x + 9

We are to find the gradient/slope of this line;

The product of any two perpendicular lines is -1.

To put the equation of our second line in cartesian plane format;

3y = 6x + 9

Dividing throughout by 3 we get;

y = 2x + 3

The slope of our second line is 2

Let the slope of line 'R' equal to a

So a × 2 = -1

Hence the slope of our line 'R' =  a = [tex]\frac{-1}{2}[/tex] = -[tex]\frac{1}{2}[/tex]

Answer:

14)

21√2

15)

Leg: 7√3

Hypotenuse: 14

Step-by-step explanation:

The hypotenuse is √2 as long as each leg. That means the leg is 42/√2. Simplified to make 21√2.

The hypotenuse is always twice as long as the shortest leg on a 30-60-90 triangle. The longer leg is √3 as long as the shortest side.

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:

n=-3

Step-by-step explanation:

11(n – 1) + 35 = 3n

expand left side

11n-11+35=3n

Add-11 to 35

11n+35-11=3n

11n+24=3n

subtract 24 from both sides

11n+24-24=3n-24

11n=3n-24

subtract3n from both sides

11n-3n=3n-24-3n

8n=-24

divide both sides by 8

8n/8=-24/8

n=-3

Answer:

Step-by-step explanation:

[tex]11(n -1) + 35 = 3n\\n =? \\11n -11 +35=3n\\Collect-like-terms\\11n-3n=-35+11\\4n =-24\\divide -both-sides-of-the-equation\\n = \frac{-24}{4} \\n = -6\\\\[/tex]

Answer:

4x + 6

Step-by-step explanation:

Given

[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]

Before we can add the fractions we require them to have a common denominator.

Factor the denominator of the first fraction

[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]

Multiply the numerator / denominator of the second fraction by (x + 2)

= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator

Add the numerators leaving the denominators

= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]

= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]

= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6

Answer:

  16 cm^2

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 12 cm. Since the width is 4 cm, the length is 12 cm -4 cm = 8 cm.

The area of the rectangle is the product of length and width, so is ...

  rectangle area = (8 cm)(4 cm) = 32 cm^2

The area of the triangle is half the area of the rectangle, so is 16 cm^2.

Answer:

11

Step-by-step explanation:

g(x) = 2x + 7

Put x as 2 and evaluate.

g(2) = 2(2) + 7

Multiply.

g(2) = 4 + 7

Add the terms.

g(2) = 11

Answer: The expression is (c-7) / 3

Step-by-step explanation:

Let's say Adam has c pieces of candy

He took seven pieces for himself which means we can write this as c-7

He then divided this amount between his 3 children (c-7)/3

problem decoded dude

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Answer:

(5z +2) (z+1)

Step-by-step explanation:

5z^2 +7z +2

(5z +2) (z+1)

The first term when multiplied out is 5z^2  The last term is 2

The middle term is 2z+5z = 7z so this is the correct factorization

Answer:

[tex]x^2 - 8x + 7 = 0[/tex]

Step-by-step explanation:

Let the boy's present age be x.

Let his dad's present name be y.

Last year, his dad was 8 times as old as him. Subtract one year from each their ages and multiply the son's age by 8:

(y - 1) = 8(x - 1) ______ (1)

Now, his dad's age is the square of his age:

y = [tex]x^2[/tex] _________(2)

From (1):

y = 8x - 8 + 1

y = 8x -7

Put this in (2):

[tex]8x - 7 = x^2\\\\=> x^2 - 8x + 7 = 0[/tex]

This problem has been represented in the form of a quadratic equation.

Answer:

Step-by-step explanation:

The perimeter of this figure is the sum of the side lengths shown:

6 + 8x + 18 + 13x

Combining like terms, we get 21x + 24.  This is one way in which to calculate the perimeter of the figure.  Another way would be (x)(8 + 13) + 6(1 + 3).  

Answer: D (4,1)

Step-by-step explanation:

2x + 3(x-3) = 11

2x + 3x - 9 = 11

5x = 11 + 9

x = 20/5 = 4

y = x-3

= 4-3 = 1

Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation: