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Luda [366]
3 years ago
13

Factor as the product of two binomials. x^2-8x+16

Mathematics
2 answers:
sladkih [1.3K]3 years ago
3 0

Answer:

(x-4) (x-4)

Step-by-step explanation:

x^2-8x+16

What 2 numbers multiply to 16 and add to -8

-4*-4 = 16

-4+-4 = -8

(x-4) (x-4)

Mars2501 [29]3 years ago
3 0

Answer:

correct ^

Step-by-step explanation:

You might be interested in
The number of question on an exam varies with the number
alekssr [168]

Answer:

t=5x

Step-by-step explanation:

So the number of questions in an exam varies with the number of minutes to take the exam.

For each question there are 5 minutes allotted.

Lets say that there are 'x' number of questions in the exam and 't' is the total time taken to finish the exam, in minutes. So the time taken to complete the exam would be

5 \times x=5x

Therefore, the equation relating the time taken to complete the exam and the number of questions is given by:

t=5x

So there are two variables in the equation, 't', and 'x':

t - time taken to complete the exam

x - number of questions on the exam

5 0
3 years ago
How do i write and solve for this inequality
ExtremeBDS [4]

9514 1404 393

Answer:

  -7/4 < x < 8

Step-by-step explanation:

The value of y can be determined from the sum of the angles, so you know each of the angles exactly. That means you know the ratio of side lengths exactly, which lets you solve for x exactly.

__

Setting that aside, we observe that angle C is greater than angle A, so side AB will be longer than side BC.

  3x +15 > 4x +7

  8 > x . . . . . . . . . . subtract 3x+7

We also know that the lengths of these sides must be positive. Since BC is the shorter side, we require ...

  4x +7 > 0

  4x > -7

  x > -7/4

So, the allowable values of x are ...

  -7/4 < x < 8

_____

<em>More complete solution</em>

If we read the figure correctly, the sum of angles is ...

  (2y +12) +(4y +12) +(y -18) = 180

  7y +6 = 180

  y = (180 -6)/7 = 24 6/7°

Then (in degrees) ...

  ∠A = 2(24 6/7) +12 = 61 5/7, and ∠C = 4(24 6/7) +12 = 111 3/7

The Law of Sines tells us ...

  AB/sin(C) = BC/sin(A)

  sin(A)(3x +15) = sin(C)(4x+7)

  x(4sin(C) -3sin(A)) = 15sin(A) -7sin(C)

  x = (15sin(A) -7sin(C))/(4sin(C) -3sin(A))

  x ≈ 6.1872652

4 0
3 years ago
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=8°, and BC = 6.4 feet. Find the length of DB to the nearest tenth of a foot.
kipiarov [429]

Answer:

6.3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the equation for all values of x.<br> (8x+9)(49x^2-100)=0
Liono4ka [1.6K]

Answer:

x = \frac{-9}{8} , \frac{-10}{7} , \frac{10}{7}

Step-by-step explanation:

8x+9=0

8x=-9

x = \frac{-9}{8}

or

49x^{2}-100 = 0

(7x)^{2} -10^{2} =0,

(7x+10)(7x-10)=0

7x+10=0, 7x-10=0

7x=-10, 7x=10

x=-\frac{-10}{7}, x = \frac{10}{7}

4 0
3 years ago
Need some more help please!
Vikki [24]

For this case we have that by definition\pi equals 180 degrees.

We must convert 135 degrees to radians, then:

135 * \frac {\pi} {180} =\\135 * \frac {3.14} {180} =\\\frac {423.9} {180} = 2.355

Rounding off we have:

2.4 radians.

Answer:

2.4 radians

3 0
4 years ago
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