How many solutions does the equation 4x + 8 = − 2 − 2 + 5x have?

Answer:

(y + 8)(y - 2)

Step-by-step explanation:

Given

y² + 6y - 16

Consider the factors of the constant term (- 16) which sum to give the coefficient of the y- term (+ 6)

The factors are + 8 and - 2, since

8 × - 2 = - 16 and 8 - 2 = 6, thus

y² + 6y - 16 = (y + 8)(y - 2)

Answer:

2.8

Step-by-step explanation:

32cos 85≈2.8

Answer: The answer is A

Step-by-step explanation: There are different ways to solve this type of problem. One way I would do it is to use a piece of wax paper to trace the shape then rotate the paper to get the answer.

Answer:

Step-by-step explanation:

Angles: 45°: 45°: 90°

Ratio of sides: 1:1:√2

Given c= 55

a =c/√2

a=55/√2 = 38.9

b=a+2 = 38.9+2 =41.9

The length of the legs of the triangle is 41.9

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

Angles are: 45°: 45°: 90°

The ratio of sides: 1:1:√2

Given c = 55

a = c/√2

a = 55/√2

a = 38.9

b = a+2

b = 38.9+2

b =41.9

Thus, the length of the legs of the triangle is 41.9

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Answer:

3.5

Step-by-step explanation:

35% is only 0.35

Answer:

3.5

Step-by-step explanation:

Answer:

M = 20

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, that is

160 = k × 4³ = 64k (divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of proportion

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

Answer:

M<varies>r³

M=kr³(k= constant)

when M=160,r=4

160=k(4)³

160=64k

k=2.5

therefore,M=2.5r³

when r=2

M=2.5r³

M=2.5(2)³

M=2.5(8)

M=20

Answer: 13

Step-by-step explanation: 15-2=13

Answer:

171 square ft

Step-by-step explanation:

Area of side walk of the pool = Are of outer square - Area of inner square

[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]

Answer:

6x+4

Step-by-step explanation:

First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.

Answer:

[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]

Apply associate property:

[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]

Simplify the first two components:

[tex]A = 2x + 4 + 4x[/tex]

Rearrange the components:

[tex]A = 2x + 4x + 4[/tex]

Simplify:

[tex]A = 6x + 4[/tex]

Hope this helps!

:)

Answer:

5 small bags of cat food and 1 large bag of cat food

Step-by-step explanation:

bc thats the only one that  was no more than $54 and was at least 4 bags o food :)

Answer:55

Step-by-step explanation:addition

Answer:

132 degrees is the measure of angle ABC.

Step-by-step explanation:

ABD = 180 because it is a straight line.

BCD = 48

ABD - BCD = 180 - 48

180 - 48 = 132

Answer:

ABC =132

Step-by-step explanation:

The two angles form a straight line so they add to 180

ABC + 48 = 180

Subtract 48 from each side

ABC +48-48 = 180-48

ABC =132

Answer:

Distance of segments AB and CD = 12

Step-by-step explanation:

AB+BC + CD = 6+6+6 = 18inch

midpoint AB = 6/2 = 3

midpoint CD =6/2 = 3

Midpoint AB+Midpoint CD = 3+3 = 6

To solve we just 18-6 = 12

Distance of segments AB and CD = 12

Answer:

its 12

Step-by-step explanation:

Distance of segments AB and CD = 12

Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

Given four graphs of different nature as options.

We are required to find a graph that is not a continuous variable.

In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.

Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.

When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.

Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.

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Answer: Graph B and Graph C

Step-by-step explanation:

Answer:

leg 1= 36  feet

leg2 = 15  feet

Step-by-step explanation:

Hi, we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case the distance between Doreen’s house and the tower) and a and b are the other legs.  

leg1 = x

leg2 = x-21 (21 feet less than the other leg)

Replacing with the values given:  

39^2 = x^2 + (x-21)^2  

1,521 = x^2 + x^2 -42x +441

0 = 2x^2 -42x +441-1,521

0= 2x^2 -42x -1,080

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  (quadratic formula)

Replacing with the values given:  

x=-(-42)± √(-42)²-4(2)-1080] /2(2)  

x= 42± √10,404] /4

x = 42± 102 /4

Positive:

x = 42+102 /4 = 36

leg 1= 36

leg2 = 36-21 =15

Feel free to ask for more if needed or if you did not understand something.  

The length of shorter leg is 15 feet and other leg is 36 feet.

Let us consider that, length of shorter leg is x feet.

So that, length of other leg is [tex](x+21)[/tex] feet.

It is given that, the hypotenuse is 39 feet.

Apply Pythagoras theorem,

                 [tex]x^{2} +(x+21)^{2} =(39)^{2}\\ \\x^{2} +x^{2} +441+42x=1521\\\\2x^{2} +42x-1080=0\\\\x=15 ,-36[/tex]

Since, side can not be negative.

So that, we have to consider x=15 feet.

Length of other leg[tex]=x+21=15+21=36feet[/tex]

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Answer:

The answer is A and D.

Step-by-step explanation:

Acute angles are angles that are less than 90°.

0° < θ < 90°.

So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.

Answer:

[tex]105.625\pi cm^3[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]

Answer in terms of [tex]\pi[/tex]

[tex]105.625\pi cm^3[/tex]

Answer:

Answers are below

Step-by-step explanation:

Yes I was surprised by the scatter plot because I didn't know there would be the most rain at 77 degrees F on the red line.

If you switched which axis each variable is graphed on, your graph would look different because the graph could be sideways on the left or the right.

The graph has a trend of increasing temperature and amount of rain as you get up to the 7th column. After the 7th column, the trend shows decreasing rain and temperature.

Answer:

A) ΔABC ≅ ΔEDC

Step-by-step explanation:

To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.

Let's see what we have in these two triangles.

Side AB is congruent to side ED. This is one pair of sides.

Angle A is congruent to angle E. This is one pair of sides.

Now we need a second pair of angles, that will make the two sides not-included in the angles.

By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.

We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.

Answer: A) ΔABC ≅ ΔEDC

Answer:

(5,6)

Step-by-step explanation:

I think you are asking whats the biggest sum you can get out of the ordered pairs. If you are I'm pretty sure (5,6) is correct. If you are not asking that, I am sorry.

Answer: Mary is cheaper than mike

Step-by-step explanation:

Hopes this Helps

Answer:

(3x + 4)(2x - 5)

[tex]6x^{2}+7x-20=0[/tex]    =    (3x + 4)(2x - 5)

Hope this helped! Have a great day!

The values of f and g are;

f = 6

f = 6g = 8

We are given the trapezium ABCE where;

AD is parallel to BC

DE = 4 cm

Area of ABCE = 60 cm²

Area of ABCD = 48 cm²

f and g are sides of the rectangle ABCD. Thus;

fg = 48 - - - (eq 1)

Also,for the trapezium ABCE;

½(g + g + 4)f = 60

(2g + 4)f = 120 - - - (eq 2)

From eq 1, f = 48/g

Thus;

(2g + 4) × (48/g) = 120

96 + 192/g = 120

192/g = 120 - 96

192/g = 24

g = 192/24

g = 8

Thus;

8f = 48

f = 48/8

f = 6

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Answer:

E

Step-by-step explanation:

I hope am right coz it seems most appropriate

Answer: Expressed powers

Step-by-step

Answer:

Make N alone

There is an 8 so we subtract 8 from both sides so the equation is still equal

-4 - 8 = -12

Because we are subtracting N it is positive

N = 12

8 - 12 = -4

Hope this helps

Step-by-step explanation:

Answer:

It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt

Step-by-step explanation:

Well it quite simple 1st you have the total which is 40

next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.

next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.

Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10

hope this helps (barry_ary)

Answer:

10

Step-by-step explanation:

15+10= 25

25+5=30

40-30=10

10 people are not wearing sneakers and

blue shirts