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Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)(x-5) = x^2 - 25[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is obtained as:

[tex](x+5)(x-5) = x(x - 5) + 5(x - 5) \\\\(x+5)(x-5) = x^{1+1} - 5x + 5x - 25 = x^2 - 25[/tex]

Thus,

The product of [tex](x+5)(x-5) = x^2 - 25[/tex]

Learn more about polynomial product here;

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Answer:

93

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. The given measures, 37 and 56, sum up to 93. 180-93 = 87. This means the last interior angle is 87 degrees. But, the degree measure of a straight line is also 180 degrees, so 180-87 is 93, the answer.

Answer:

Step-by-step explanation:

So, to graph a parabola we must have at least 3 points, the x intercepts and the turning point. Currently the equation is in x intercept form which means that we know straight away (assuming the equation =0) that the x intercepts are:

(1,0) and (-3,0)

Now we have to find the turning point and we can do this by putting the equation into turning point form:

-5/4([tex]x^{2} +2x-3[/tex])

-5/4(([tex](x+1)^{2} -3-1[/tex])

-5/4[tex](x+1)^{2}+5[/tex]

Now we can figure out the turning point which is:

(-1,5)

Graph those three points and you should get a parabola shape

Answer:

  x° = 55°

Step-by-step explanation:

An exterior angle is equal to the sum of the remote interior angles:

  x° = 21° +34°

  x° = 55°

Answer:

8y + 9 = 6

Step-by-step explanation:

8 times a number (8y) and 9 (+9) equals 6 (=6)

Answer:

Step-by-step explanation:

The denominator is positive for any value of x.

So we solve the numerator:

Answer:

15: significant 16: research problem

Answer:

$29.7

Step-by-step explanation:

10 percent of 27 is 2.7 then you add 27 and 2.7 and you get 29.7

Answer:

Exponent rules used:

[tex]x^{-2}=\dfrac{1}{x^2}= \dfrac{1}{(-2)^2}=\dfrac{1}{2^2}=\dfrac14[/tex]

[tex]x^{-1} = \dfrac{1}{x}= \dfrac{1}{-2}=-\dfrac12[/tex]

[tex]x^0=1\implies (-2)^0=1[/tex]

[tex]x^1=x =-2[/tex]

[tex]x^2=(-2)^2=2^2=4[/tex]

Answer:

x < 7/2

Step-by-step explanation:

Answer:

19/149

Step-by-step explanation:

38/298 = 19/149

7th graders who prefer English out of all students

Answer:

A. MO/SA = OE/AW

Step-by-step explanation:

A. would be your correct answer because if you analyze the triangles you can see that the similar sides would be MO and SA, OE and AW, and ME and SW. In all of the answers, they compare sides that arent similar like OE/SW. However, in the first answer, the sides they compare are indeed similar, as you can see by what I listed above. These sides are similar because they are both the adjacent and opposite sides of each triangle.

Hope this helps! :)

Answer:

D. 20

Step-by-step explanation:

You do KEEP CHANGE FLIP:

Multiply 5 by 4. You get 20/1 which is 20

The amount of money Candy started with after spending on drinks and cakes is £7.95

She bought a drink for £1.45 and a piece of cake for £1.20.

She has two thirds of here money left.

Let the money she has initially  = x

Therefore,

2 / 3 x = x - 1.45  - 1.20

2 / 3 x = x - 2.65

subtract x from both sides

2 / 3 x - x = - 2.65

2x - 3x / 3 = - 2.65

- x / 3 = - 2.65

cross multiply

-x = - 2.65 × 3

- x = -7.95

x = £ 7.95

Therefore, Candy started with £7.95

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Answer:

C≈81.68cm is the answer.

Answer:

C

Step-by-step explanation:

Angle 1 and angle 4 sit on the same straight line which means

<1 + <4 = 180          

We are given that <4 = 105 degrees. So the equation above becomes.

<1 + 105 = 180                  Subtract 105 from both sides

<1 = 180 - 105

<1 = 75

The value of ∠BAC in the isosceles triangle is 9.7°

Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:

a² = b² + c² - 2bc*cos(A)

where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.

AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:

200² = 1185² + 1185² - 2(1185)(1185)cos(x)

2(1185)(1185)cos(x) = 2808450

cos(x) = 0.9857

x = 9.7°

The value of ∠BAC in the isosceles triangle is 9.7°

Find out more on Cosine rule at: https://brainly.com/question/7872492

Answer:

[tex]y = (5 + x)^2[/tex]

Step-by-step explanation:

"The square of the sum of x and 5 is equal to y."

Let's use our clue words that indicate what our equation will be.

Let's start easy, equal to y.

y =

Now let's look at the rest of the sentence minus the phrase we just used.

The square of the sum of x and 5.

The sum of x and 5 goes first,

x + 5

and since we are looking for the square of x + 5:

(5 + x)^2

therefore,

[tex]y = (5 + x)^2[/tex]

Answer:

square of y looks like y2

five times y2is written 5y2

square of x looks likes x2

usually, a mathematical expression is written in alphabetical order x2+5y2

Kayla-

HOPE I GET BRAINLIEST!

Answer:

0839

Step-by-step explanation:

First of all, let's cancel 0620 and 0746, because they dont have any other number that has the same last 2 digits as them. Jean would've immediately known the train number if it was one of these two.

Now, when Marie says "I'm sure that neither does Jean", it means she is guaranteed Jean doesn't know the train number. It mean she couldnt've gotten 06 or 07, as 0620 and 0746 have it.

We're left with 0825,0839,0917,0925 and 0950
When Jean replies he knows the train number, it means he couldnt've gotten 25, as it's repeated.

And when Marie responds she knows as well, she couldnt've gotten 09, as it's also repeated.

We can cancel 0825,0917,0925 and 0950

So, the train number is 0839

Answer:

b > -3

Step-by-step explanation:

-5(2b+7) + b< -b - 11

Distribute -5

-10b - 35 + b < - b - 11

Combine like terms.

-9b - 35 < - b - 11

Add b to both sides.

-8b - 35 < -11

Add 35 to both sides.

-8b < 24

Divide by -8. REVERSE THE SYMBOL!! because dividing by a negative number.

b > -3

Answer:

2200

Step-by-step explanation:

8+7=15 4125/15=275 275x8=2200

Answer:

im not good in this but thats insane.

12 meters

or what is problem?

Answer:

x=70

Step-by-step explanation:

Answer:

Numbers of packs p is 12

Step-by-step explanation:

Data :

  Money  = $18

 Price of a  card = $1.5

 Equation     :    18 ≥ 1.5p

Solve the equation  for p

       18/1.5  ≥  p

     12 ≥ p

Answer:

6

Step-by-step explanation:

5/10

1/2

then 6 trust me

Answer: The first one 5/10 is 0.5 or 50% 5÷10. The second one 5/100 is 0.05 or 500%. The third one 5/1000 is 0.005 or 5000%.

Step-by-step explanation:

All you have to do is divide and you do that for all of them. Also did you know quotient means the answer to a division question. Wow! Also, if you see that all I did was add another zero in the middle of the decimals is because That is Decimal Place value. Here is a picture of that just in case.  The last answer for the very bottom one is what I just said about decimal place value so here is the reflection: When dividing by tens using decimals always be sure to use place value. Thank you I was happy to help!

Answer:

2k³ is the GCF.

Step-by-step explanation:

GCF of [tex]10k^{3} ,6k^{3}[/tex]

Finding the factors:

=10k³[Factoring 10k³]

=2×5×k×k×k

=6k³[Factoring 6k³]

=2×3×k×k×k

Common factors in 10k³ and 6k³.

=2×k³

=2k³

GcF

[tex]\\ \tt\hookrightarrow 2(k)(k)(k)[/tex]

[tex]\\ \tt\hookrightarrow 2k^3[/tex]