Complete the following proof by dragging and dropping the correct reason in the spaces below

Answer:

(4a+b)(1+4a-b)

Step-by-step explanation:

hope it helps

Answer:

(4a + b)( 1 + 4a - b )

Step-by-step explanation:

4a + b + 16a² - b²

Step 1 :- Use a² - b² = ( a - b ) ( a + b ) to factor the expression.

4a + b + ( 4a - b ) ( 4a + b ).

Step 2 :- Factor out 4a + b from the expression.

(4a + b)( 1 + 4a - b )

Answer:

the coordinates of point B are (-5, 2)

Step-by-step explanation:

1. use midpoint formula to find the midpoint (equation attached below)

2. plug in the numbers

[tex](\frac{-8+(-2)}{2},\frac{3+1}{2})[/tex]

3. solve

[tex](\frac{-8-2)}{2},\frac{3+1}{2})[/tex]

[tex](\frac{-10}{2},\frac{4}{2})[/tex]

[tex](-5,2})[/tex]

Solution to the question:

Number of blocks stacked: 30

Height of tower: 64 inches

Height of each block: ?

To find the height of each block, we divide the total height of the tower with the number of blocks stacked

Therefore,

Height of each block: 64/30 = 2.13 inches

So, the height of each block is 2.13 inches.

Answer:

24 [tex]m^{2}[/tex]

Step-by-step explanation:

Area of parallelograms is :

A = b x h

The height must be a line perpendicular to the base.

The slant measuring 5 is not perpendicular to the base.

A = 6 x 4

A = 24

Answer:

option 4

Step-by-step explanation:

f(x) = 5x + 40

f(x = - 5) = 5 ( - 5) + 40

            = -  25 + 40

             = 15

f(x) = 5x + 40

f(-5) = 5(-5) + 40

= 15

Ans: 15

Answer:

.324 or 18.9 degrees

Step-by-step explanation:

rule is

sine equals opposite over hypotenuse,

cosine equals adjacent over hypotenuse, and

tangent equals opposite over adjacent

OR

soh cah toa

sine = soh = 12/37 = .324

arcsin(.324) or sin^-1(.324) in DEGREES not radians =

18.9 degrees

Answer:

OP = discount amount × 100 / discount %

Step-by-step explanation:

if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.

original price (OP) = 100%

64% of OP = 30

1% of OP = 30/64

OP (100%) = 100 × 30/64

this could be simplified to 100 × 15/32, but this hinders is finding the global formula :

OP = discount amount × 100 / discount %

Answer:

y = 5/3x + 9

Step-by-step explanation:

y = 5/3x + b

4 = 5/3(-3) + b

4 = -5 + b

9 = b

Answer:

u here then today the thats yjvfh dfnrugevc5hdb

Step-by-step explanation:

log 25 + log 8 = log (25 × 8) = log 200

log 200 - log 2 = log (200 ÷ 2) = log 100

logarithm base 10 of 100 is 2.

Answer:

sorry I don't know

Step-by-step explanation:

.........

Given:

The statement is: If 2 angles are both right angles then they are congruent.

To find:

The converse of the given statement and then check whether it is true or not.

Solution:

We know that,

Statement: If p, then q.

Converse : If q, then p.

The statement is: If 2 angles are both right angles then they are congruent.

So, the converse of this statement is:

If 2 angles are congruent then both are right angles.

This statement is not true because if 2 angles are congruent then it is not necessary that the angles are right angles.

Therefore, the converse of this statement is not true.

Answer:

Step-by-step explanation:

Let CE and DE be the bisectors of ∠C and ∠D respectively. Then, ∠1 = 1/2∠C and ∠2 = 1/2∠D

In △DEC, we have

→ ∠1 + ∠2 + ∠CED = 180° [Sum of angles of a triangle]

→ ∠CED = 180° - (∠1 + ∠2). .....(i)

Again, the sum od the angles of a quadrilateral is 360°.

∴ ∠A + ∠B + ∠C + ∠D = 360°

→1/2(∠A + ∠B) + 1/2∠C + 1/2∠D = 180°

→1/2(∠A + ∠B) + ∠1+ ∠2 = 180°

→1/2(∠A + ∠B) = 180° - (∠1+ ∠2)....(ii)

From (i) and (ii), we get 1/2(∠A + ∠B) = ∠CED

Hence, ∠A + ∠B = 2∠CED

Answer:

V = 133 cm³

Step-by-step explanation:

The formula for the volume of a cone is V = (πr²h) / 3, which is just the formula for the volume of a cylinder but divided by 3, by the way.

If the diameter is 6, divide that by 2 to get a radius of 3 cm. The height and pi are already given.

V = ((3.14)(3)²(12)) / 3

V = (339.12) / 3

V = 113.04 cm³, or if rounded, it should just be 133 cm³

Answer:

113.0

Step-by-step explanation:

You have to round. Also its correct on Imagine Math.

Answer:

f(-3.2) = -7.2

Step-by-step explanation:

Here, we want to calculate f(-3.2)

What we have to do here is to substitute-3.2 for x in the equation for f(x)

Mathematically, we have this as;

f(-3.2) = -3.2-4 = -7.2

Given:

[tex]Domain\neq -1[/tex]

[tex]Range\neq 2[/tex]

To find:

The function for the given domain and range.

Solution:

A function is not defined for some values that makes the denominator equals to 0.

The denominator of functions in option A and C is [tex](x-1)[/tex].

[tex]x-1=0[/tex]

[tex]x=1[/tex]

So, the functions in option A and C are not defined for [tex]x=1[/tex] but defined for [tex]x=-1[/tex]. Therefore, the options A and C are incorrect.

In option B, the denominator is equal to [tex]x+1[/tex].

[tex]x+1=0[/tex]

[tex]x=-1[/tex]

So, the function is not defined for [tex]x=-1[/tex]. Thus, [tex]Domain\neq -1[/tex].

If degree of numerator and denominator are equal then the horizontal asymptote is [tex]y=\dfrac{a}{b}[/tex], where a is the leading coefficient of numerator and b is the leading coefficient of denominator.

In option B, the leading coefficient of numerator is 2 and the leading coefficient of denominator is 1. So, the horizontal asymptote is:

[tex]y=\dfrac{2}{1}[/tex]

[tex]y=2[/tex]

It means, the value of the function cannot be 2 at any point. So, [tex]Range\neq 2[/tex].

Hence, option B is correct.

Answer:

72 +72=144

180-144=36

the answer is 36°

The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.

So, By the interior angle sum concept,

72° + 72° + x = 180°.

x = 36°.

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Answer:

in the first person participle.

Step-by-step explanation:

Answer:

8 m

-----------------Work--------------

2*3 = 6

Ratio

2*4 = 8

Answer:

1

Step-by-step explanation:

x-y+xy=1-1+1*1=0+1=1

Answer:

1

Step-by-step explanation:

X=1

Y=1

here,

x-y+xy=1-1+1×1

or,x-y+xy=0+1=1

Staysafe❤

Answer:

Step-by-step explanation:

a)3*4*2*b = 24b

Multiply the numerals and then the variables.When multiply variables, add the exponents and only same variables can be multiplied

b) c⁵ *c = c⁵⁺¹ = c⁶

c) 2y⁴ *5y³ = 2*5 * y⁴⁺³ = 10y⁷

Answer:

A

Step-by-step explanation:

6 (2) - 4 (3)

12 - 12

0

hope this helps you

Answer:

pretty sure it's just 9

Step-by-step explanation:

Let's assume the possible numbers are 1,2,3,4,5

There are only 3 numbers less than 4 (1,2,3) which means that there are 3*3 possbiblities out of the two spots

There's only 1 number greater than 4 (5) which means the third, fourth, and fifth are just 5

which means the answer is just 9

Answer:

7[tex]\sqrt{x}[/tex] = 14, D

Step-by-step explanation:

A radical equation is defined by having a variable under a radical sign. This is the only option with a variable (x) under the radical sign. Hence, 7[tex]\sqrt{x}[/tex] = 14 is the correct option.

Answer: ∠p and ∠s, ∠q and ∠r

Step-by-step explanation:

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

The sets of angles are corresponding angles are; ∠p and ∠s, ∠q and ∠r

It can be defined as, corresponding means pair wise angles. Like the right corner angles of two triangles etc. But usually we take them as:

For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles. They are of same measurement.

From the lines on the angles indicate which ones are corresponding, for example angles p and s both have 2 lines, while angles q and r both have one line.

We can conclude the sets of angles that are corresponding angles;

∠p and ∠s, ∠q and ∠r

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Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.

Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.

When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.

Learn more about reacting to stress here

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=============================================

Explanation:

The volume of a cylinder formula is

V = pi*r^2*h

where r is the radius and h is the height.

---------------

For the first cylinder, we have r = 2 and h = 7. This leads us to...

V = pi*r^2*h

V = pi*2^2*7

V = pi*4*7

V = pi*28

V = 28pi

This is the exact volume in terms of pi.

---------------

Repeat those steps for the other cylinder (r = 2 and h = 28)

V = pi*r^2*h

V = pi*2^2*28

V = pi*4*28

V = 112pi

---------------

To recap so far, we have these two cylinder volumes:

We see that cylinder B has the larger volume (since 112 > 28).

The ratio of the volumes from larger to smaller is 112pi : 28pi

Divide both parts by pi to have those terms cancel and we get the ratio 112:28

Lastly, we divide each part by the GCF 28

112/28 = 4

28/28 = 1

Therefore, the ratio 112:28 fully reduces to 4:1 which makes the final answer choice A.

The larger volume is 4 times that of the smaller volume.

----------------

A fairly quick way to see why we get this ratio is to notice the smaller height h = 7 jumps to the larger height h = 28 by a factor of 4.

In other words,

larger height = 4*(smaller height)

28 = 4*7

The fact that the radius is kept the same at r = 2 won't have an effect on the volume ratio. These parts effectively cancel out.

So this jump of "times 4" directly connects to the ratio 4:1

We multiplied the height by 4, so the volume is also multiplied by 4 (when going from the smaller cylinder to the larger one).

Answer:

ayan po answer nasa picture

Answer:

3

Step-by-step explanation:

9½=√9=3

ie. a number to the power of ½ is the same as the square root of the number