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Vladimir79 [104]
3 years ago
12

What is the coefficient of the second term of the trinomial? (4a+5)2=16a2+Ba+25 Enter your answer in the box. B =

Mathematics
1 answer:
DochEvi [55]3 years ago
3 0

Answer:

B=40

Step-by-step explanation:

we know that

(a+b)^{2}=a^{2}+2ab+b^{2}

In this problem we have

(4a+5)^{2}=16a^{2}+Ba+25

The second term of the trinomial is equal to

2(4a)(5)=40a

therefore

B=40

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Answer these questions please.
Ivenika [448]
ABCDEFGH = 22.
HEFG = 12
ABCD = 10
8 0
3 years ago
Please help I don’t know how to do this
mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).  

Hence, the equation of the line  

\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be  

\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

5 0
3 years ago
Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response quest
zlopas [31]

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

8 0
3 years ago
If brownies are baked in a pan measuring 13 inches long by 9 inches
nataly862011 [7]

Answer:

The brownies will be a little thicker in a 9 x 13” pan. 8 x 8= 64 square inches, doubled that's 128. 9 x 13= 117

Step-by-step explanation:

3 0
2 years ago
What are the values of x and y?
tresset_1 [31]

Step-by-step explanation:

y is easy.

it is the Hypotenuse (baseline) of the small right-angled triangle created by the height (8) of the main triangle, the segment 6 of the main Hypotenuse and y.

so, Pythagoras :

y² = 8² + 6² = 64 + 36 = 100

y = 10

x is a bit more complex.

I think the easiest way to get it is to know that the height of a right-angled triangle to the Hypotenuse is the square root of the product of both segments of the Hypotenuse.

so, if we call the segments of the Hypotenuse a and b with a = 6, we have

x = a + b = 6 + b

height (8) = sqrt(a×b) = sqrt(6b)

therefore,

6b = height² = 8² = 64

b = 64/6 = 32/3 = 10 2/3 = 10.66666666...

so,

x = 6 + 10.66666... = 16.666666666...

round it to what is needed. e.g. 2 positions after the decimal point (hundredths) ? then it would be 10.67

6 0
2 years ago
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