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Yuliya22 [10]
3 years ago
6

Which of the following expressions is equal to -4x^2-36

Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

Step-by-step explanation:

-4x^2-36 can be rewritten as -4(x^2 + 9).  The quantity in parentheses does not have real roots, but does have the imaginary roots ±3i.

Next time, please share the possible answer choices.

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What is the factored form of the expression?
Georgia [21]

Answer: The answer is (d) (4x+7)(7x+8).


Step-by-step explanation: Given equation to be factored is

28x^2+81x+56.

The given expression is quadratic, so we can factor it into two linear factors, by using the following factorisation rule.

x^2+(a+b)x+ab=(x+a)(x+b).

So, the given equation can be factorised using the above rule. The factorisation is as follows.

28x^2+81x+56\\\\=28x^2+49x+32x+56\\\\=7x(4x+7)+8(4x+7)\\\\=(4x+7)(7x+8).

Thus, the correct option is (d).





7 0
3 years ago
Find the linear equation of the plane through the origin and the points (5,2,2) and (6,−1,1). equation:
Aleks [24]
The cross of the position vectors is
.. [5, 2, 2] × [6, -1, 1] = [4, 7, -17] . . . . . the normal vector of the desired plane

Since the origin is a point in the plane, its equation can be written as
.. 4x +7y -17z = 0
3 0
4 years ago
The____ states that The part equals the percent multiplied by the whole
Leto [7]

Problem

Hope this helps :)


5 0
3 years ago
The quarterback Tom Brady completes 60% of his passes. To simulate the outcome of a single pass we use the digits 0, 1, 2, 3, 4,
zaharov [31]

Answer:

A. Repeat the simulation several more times

Step-by-step explanation:

The purpose of the simulation model is to represent the effectivity of the passes.

The proportion of successful passes is 60%.

As we have 10 digits available, 6 (digits from 0 to 5) are used for the outcome "the pass is completed" and 4 (digits 6, 7, 8, and 9) to represent the outcome "the pass is not completed". This is correct, as it represents a probability of 60% of having a successful pass.

But to have a representative distribution of the possible and probable results, the simulation have to run enough times to have a stable distribution of the results.

6 0
3 years ago
The face of a clock is divided into 12 equal parts. The radius of the clock face is 6 inches. Assume the hands of the clock will
irina [24]
<h2>Answer:</h2><h2>Option (i),(iii), (v) are correct</h2>

Step-by-step explanation:

Given, the face of a clock is divided into 12 equal parts.

Angle of each part = \frac{360}{12} = 30°

(i) When one hand points at 2 and the other points at 4, this is can be divided into two parts, 2 to 3 and 3 to 4.

The angle formed = 2 (30) = 60°

Option (i) is correct

(ii) The circumference of the clock is ,

Circumference of circle = 2πr,

where r is the radius = 6 and π = 3.14.

Substituting the values in the formula, we get

Circumference of circle = 37.68.

Option (ii) is wrong.

(iii) With one hand at 5 and the other at 10, this is 5 parts

The angle formed= 30(5) = 150°.  

The arc length =\frac{150}{360}(37.68) = 15.7

Option (iii) is correct

(iv) When one hand points at 1 and the other points at 9, this is 4 parts,

30(4) = 120°.  T

Option (iv) is wrong

(v) The length of the minor arc from 11 to 2, this is 3 parts

3(30) = 90°  

minor arc from 7 to 10 is 3(30) = 90°  

Option (v) is correct

6 0
3 years ago
Read 2 more answers
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