Question 1
Find an expression equivalent to 8(2x+1)(x-2)(x+3)

Answer:

+ 9

Step-by-step explanation:

Given the expression is a perfect square of the form

(ay + b)² = a²y² + 2aby + b² = 49y² + 42y +

Comparing coefficients of like terms

a² = 49 ( take the square root of both sides )

a = [tex]\sqrt{49}[/tex] = 7

2ab = 42 ( divide both sides by 2 )

ab = 21 , then

7b = 21 ( divide both sides by 7 )

b = 3, thus

b² = 3² = 9

Hence

49y² + 42y + 9 = (7y + 3)²

Answer:

Angle A

Step-by-step explanation:

subtract 3x and 5x

you get 2x

-5-3=

you get -8

divide -8/2x

x=-4

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Sum of the measures is equal to 180° .

So :

[tex]Angle \: \: A + Angle \: \: B + Angle \: \: C = 180 \\ [/tex]

Thus :

[tex](5x - 5) + (3 x + 3) + (5x) = 180 \\ [/tex]

Collect like terms

[tex]13x - 2 = 180[/tex]

Add sides 2

[tex]13x - 2 + 2 = 180 + 2[/tex]

[tex]13x = 182[/tex]

Divide sides by 13

[tex] \frac{13x}{13} = \frac{182}{13} \\ [/tex]

[tex]x = 14[/tex]

_________________________________

[tex]Angle \: \: B = 3x + 3[/tex]

[tex]Angle \: \: B = 3(14) + 3[/tex]

[tex]Angle \: \: B = 42 + 3[/tex]

[tex] Angle \: \: B = 45°[/tex]

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Answer:

equal

Step-by-step explanation:

Answer:

equal

Step-by-step explanation:

30.030 can be simplified to 30.03. the zero after the .03 is unnecessary. since 30.030 can be written as 30.03, 30.030 is equal to 30.03

Answer:

The first one

Step-by-step explanation:

1. 36/-3 = -12

2.-4-(-16) =12

3.(-3)(-4) = 12

4.21+ (-9) = 12

The first one is the only one which doesn't equal 12. It equals -12 and that's why it doesn't belong.

Let me know if you need further detail for them :)

Answer:

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

ANSWER:

when the value of (b^2-4ac) is positive, then the roots are real and distinct.

when it is 0 the roots are equal and if it is negative than its root is not real.

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

Explanations:

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

Part (a)

Applying a rotation will not change the length of XY. This means segment X'Y is the same length as segment XY.

Put another way:  (distance from X to Y) = (distance from X' to Y)

So if we have Y as the center of the circle, and XY as the radius, then X and X' are both on the same circle.

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

Part (b)

As explained in part (a), the segments XY and X'Y are both radii of the same circle, so they are equal to one another.

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

Part (c)

Draw a right triangle with side lengths XY, X'Y and hypotenuse XX'

Note how a 45-45-90 triangle forms. We can use the pythagorean theorem to show that XX' is larger than XY. Therefore, XX' and XY aren't equal.

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

Part (d)

This angle forms because we rotated point X 90 degrees with the center point as Y. It might help to think of point Y at the origin. So that's why this statement is true.

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

Part (e)

This is false because segment X'Y or YX' is a radius and not a diameter. We would need to multiply by 2 to get a diameter.

Answer:

Try asking your teacher for some help, so he/she can explain it more to you if you don't understand

Step-by-step explanation:

Answer:           0.875

Step-by-step explanation:

Answer: 29 weeks

Step-by-step explanation:

From the question, we are informed that Caroline bakes cookies in batches of 24 and that she bakes 3 batches of cookies per week. The amount of cookies baked per week will then be:

= 24 × 3

= 72 cookies

The number of weeks that would take her to bake 2,088 cookies will be:

= 2088 / 72

= 29 weeks

Answer:

like 45 plus 45 to get 90 and that is how it is the same

Missing Options:

A. Erica's graph is incorrect, because the slope  should be greater than 9.5.

B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5.

C. Erica's graph is correct, because the slope  should be less than 9.5.

D. Erica's graph is correct, because the y–intercept  should be less than 9.5.

Answer:

A. Erica's graph is incorrect, because the slope  should be greater than 9.5.

Step-by-step explanation:

Given

Clive:

[tex]d = 9.5h[/tex]

Erica:

[tex]m = 9[/tex] --- slope

[tex]b =0[/tex] --- y intercept

First, we need to determine the equation of Erica's earnings using

[tex]d = mh + b[/tex]

Where

m = slope = 9

b = y intercept = 0

So, the equation becomes

[tex]d = 9 * h + 0[/tex]

[tex]d = 9h + 0[/tex]

[tex]d = 9h[/tex]

This implies that Erica earns 9 dollars per hour

For Clive:

[tex]d = 9.5h[/tex]

This means that Clive earns 9.5 dollars per hour

From the question, we understand that Erica earns more than Clive.

So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.

When the slope is greater than 9.5, then she earns  more than Clive.

Answer:

The opposite sides are equal

Given:

Total distance covered by Jamie = [tex]6\dfrac{1}{2}[/tex] miles

She ran every day = [tex]\dfrac{1}{6}[/tex] miles

To find:

The number of days in which she go for running.

Solution:

Total distance covered by Jamie [tex]=6\dfrac{1}{2}[/tex] miles

                                                       [tex]=\dfrac{6\times 2+1}{2}[/tex] miles

                                                       [tex]=\dfrac{12+1}{2}[/tex] miles

                                                       [tex]=\dfrac{13}{2}[/tex] miles

She ran every day = [tex]\dfrac{1}{6}[/tex] miles

Now,

[tex]\text{Required number of days}=\dfrac{\text{Total distance covered}}{\text{Distance covered each day}}[/tex]

[tex]\text{Required number of days}=\dfrac{\dfrac{13}{2}}{\dfrac{1}{6}}[/tex]

[tex]\text{Required number of days}=\dfrac{13}{2}\times \dfrac{6}{1}[/tex]

[tex]\text{Required number of days}=39[/tex]

Therefore, the required number of days is 39.                                                  

Answer:

Step-by-step explanation:

(1) Yes

Answer:

(8, 15, 17) (20, 21, 29) (30, 40, 50)

Step-by-step explanation:

I got it correct on my assignment

Answer:

-8-3

Step-by-step explanation:

-4(8r+3)

-32r-12

divide both sides by 4

-8-3

Answer:

-8-3

Step-by-step explanation:

Answer:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Step-by-step explanation:

90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love u this is irrelevent but idrc lol

Answer:

ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE

And part 2: is No

Step-by-step explanation:

Answer:

Decimal

Step-by-step explanation:

Im going to assume you double pasted, happens sometimes. so the answer would be decimal.

Answer:

The answer is D.

Step-by-step explanation:

hope that helps

Solutions:

A. 5(3x + 2)

= 15x+10

B. 5(3x – 10)

= 15x-50

C. 15(x – 2)

= 15x-30

D. 5(3x – 2)

=15x-10

Answer:

D

Step-by-step explanation:

Answer:

k = 4

Step-by-step explanation:

k is the difference of y-intercepts (where the lines intersect with the y-axis). So, subtract the y-intercept of f(x) from the y-intercept of g(x).

2 - (-2) = 4

Hope that helps! :D

Answer:

x ≈ 8.57

Step-by-step explanation:

The ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{8}{6}[/tex] = [tex]\frac{20-x}{x}[/tex] ( cross- multiply )

8x = 6(20 - x) , distribute

8x = 120 - 6x ( add 6x to both sides )

14x = 120 ( divide both sides by 14 )

x ≈ 8.57 ( to the nearest hundredth )

Answer:

dewdwdwwwdddddd

Step-by-step explanation:

f youuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuu

Answer:

$28.05

Step-by-step explanation:

Simple Math

Given:

In triangle ABC, [tex]\angle A=90^\circ, AB=1\text{ units}, AC=8\text{ units}[/tex].

To find:

The length of BC.

Solution:

Pythagoras Theorem : In a right angled triangle,

[tex]Hypotenuse^2=Base^2+Perpendicular^2[/tex]

In triangle ABC, angle A is right angle, so BC is hypotenuse.

Using Pythagoras theorem, we get

[tex]BC^2=AC^2+AB^2[/tex]

[tex]BC^2=(8)^2+(1)^2[/tex]

[tex]BC^2=64+1[/tex]

[tex]BC^2=65[/tex]

Taking square root on both sides.

[tex]BC=\pm\sqrt{65}[/tex]

But side cannot be negative, so [tex]BC=\sqrt{65}[/tex].

Therefore, the length of BC is [tex]\sqrt{65}\text{ units}.[/tex]

Using the Pythagorean Theorem, the length of BC is: 8.1 units.

Recall:

Pythagorean Theorem holds true when solving a right triangle that has side c as hypotenuse and side a and b as the other legs, thus: c² = a² + b².

Triangle ABC is shown in the diagram below, where:

Applying the Pythagorean Theorem, the length of BC is solved as follows:

BC = √(1² + 8²)

BC = 8.1 units

Learn more about the Pythagorean Theorem on:

https://brainly.com/question/16176867

Answer:

Step-by-step explanation:

sinx=.342

then x is just so simple

[tex]x=sin^{-1} (.342)\\\\[/tex]

put that in a calculator or something

Answer:

2

Step-by-step explanation:

Really doesnt need more explanation

Answer: y= -3x + 2

Step-by-step explanation:

y=mx+b

m= y2-y1 / x2-x1 = -1 - 5 / 1 - (-1)= -6/2 = -3

y=-3x+b

pick a point and solve for b by plugging in the x and y values of that point.

y=-3x+2

Answer:

101010101101001110101010101011010101010101010101010101010101001 trumps suck

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]2x + y = 16 \\[/tex]

[tex]y = x - 4[/tex]

as y is given, u just need to substitue y's value into 2x+y=16

then u can solve it