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3 years ago

Factor this polynomial expression. x^2-16

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

Hi,

We know that:

a² -- b² = (a -- b)(a + b).

With a = x, and b = 4, we have:

x² -- 16 = x² -- 4² = (x -- 4)(x + 4).

As simple as that. Have you understood ?

Green eyes.

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Solve for x please describe the steps 50 points

LuckyWell [14K]

Answer:

x = 6

explanation:

USE: $\boxed{\frac{side-length }{base -length} = \frac{side-length}{base -length} }$

solve:

$\frac{21}{15} = \frac{7}{x-1}$

$21(x-1) = 7(15)$

$21x-21 = 105$

$21x = 105+21$

$21x = 126$

$x = \frac{126}{21}$

$x = 6$

8 0

3 years ago

What is the value of -5.872 + (-5.1) ÷ 1.5? (a.) -9.272 (b.) -2.472 (c.) -7.315 (d.) 0.515

BigorU [14]

Answer:

The answer is A) -9.272

Step-by-step explanation:

-5.872 + (-5.1)/1.5

= -5.872 - 3.4

= -9.272

5 0

3 years ago

How are rigid transformations used to justify the sas congruence theorem?

scZoUnD [109]

Answer:Rigid transformations preserve segment lengths and angle measures.

A rigid transformation, or a combination of rigid transformations, will produce congruent figures.

In proving SAS, we started with two triangles that had a pair of congruent corresponding sides and congruent corresponding included angles.

We mapped one triangle onto the other by a translation, followed by a rotation, followed by a reflection, to show that the triangles are congruent.

Step-by-step explanation:

Sample Response: Rigid transformations preserve segment lengths and angle measures. If you can find a rigid transformation, or a combination of rigid transformations, to map one triangle onto the other, then the triangles are congruent. To prove SAS, we started with two distinct triangles that had a pair of congruent corresponding sides and a congruent corresponding included angle. Then we performed a translation, followed by a rotation, followed by a reflection, to map one triangle onto the other, proving the SAS congruence theorem.

6 0

3 years ago

Read 2 more answers

The width of a piece of paper is 8.5in the length is 11in and the thickness is 0.0037inches there are 2700sheets sitting in a ca

Musya8 [376]

Answer:

934.2 in³

Step-by-step explanation:

The following data were obtained from the question:

Width (W) = 8.5 in

Length (L) = 11 in

Thickness (T) = 0.0037 in

Number of paper = 2700 sheets

Volume occupied by the 2700 sheets of paper =?

Next, we shall determine the volume of 1 sheet of paper. This can be obtained as follow:

Width (W) = 8.5 in

Length (L) = 11 in

Thickness (T) = 0.0037 in

Volume (V) =?

Volume = Length × Width × Thickness

Volume = 11 × 8.5 × 0.0037

Volume = 0.346 in³

Thus, the volume of 1 sheet of paper is 0.346 in³

Finally, we shall determine the volume occupied by the 2700 sheets of paper as follow:

Volume of 1 sheet of paper = 0.346 in³

Volume of 2700 sheets of paper =?

1 sheet of paper occupied 0.346 in³.

Therefore, 2700 sheets of paper will occupy = 0.346 × 2700 = 934.2 in³

Thus, the volume occupied by the 2700 sheets of paper is 934.2 in³.

6 0

3 years ago

Please fill in the final row (x)

Nata [24]

Answer:

x = 11

Step-by-step explanation:

The Frequency column has to total 50 ( number of rolls on dice )

Thus total the given frequencies and equate to 50, that is

12 + 8 + 7 + 3 + 9 + x = 50

39 + x = 50 ( subtract 39 from both sides )

x = 11

3 0

4 years ago

Read 2 more answers