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3 years ago

Please help asap What is the factored form of this expression? 5p^3-10p^2+3p-6

Mathematics

1 answer:

poizon [28]3 years ago

7 0

Answer:

$(5p^2+3)(p-2)$

Step-by-step explanation:

In this problem, we need to write the factor form of expression $5p^3-10p^2+3p-6$ .

It can be done as follows :

$5p^3-10p^2+3p-6=(5p^3+3p)+(-10p^2-6)$

Taking common form the terms as follows :

$=p(5p^2+3)-2(5p^2+3)$

It can be also written as :

$=(5p^2+3)(p-2)$

Hence, the factored form of $5p^3-10p^2+3p-6$ is $(5p^2+3)(p-2)$

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How would you classify the number 121 ?

Maslowich

Answer:

$\boxed{121\: is \: a \: perfect \: square}$

Step-by-step explanation:

$the \: \sqrt[3]{121} \: is \: not \: a \: perfect \: cube \\ but \\ the \: \sqrt{121} = 11 \to \: is \: a \: perfect \: square \\$

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3 years ago

Plz help! read the instructions and write a proper answer and if you don't i will report you! And the first one to answer right

ahrayia [7]

Answer:

1 = 0.61, 2 = 1.13

Step-by-step explanation:

The first is 25 + 25 + 10 + 1. This is 61 cents which is 0.61 of 1 dollar. The second is 100 + 10 + 1 + 1 + 1. This is equal to 113, 0r 1.13

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2 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to AA similarity postulate,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

3 0

2 years ago

Scientists found the wreck of the titanic 3797 m below sea level. How many km below sea level is the wreck?

WINSTONCH [101]

We are given that the titanic is found 3,797 m below sea level. This is simply equivalent to 3.797 km or 3.8 km when rounded off to one decimal.

We should take note that the letter k in km means kilo and a kilo is equivalent to 1000. So this means that for 1 km there is exactly 1000 m. So to convert, simply multiply a value with unit m with this conversion factor. Conversion factor = 1 km / 1000 m

Depth of titanic = 3,797 m (1 km / 1000 m)

Depth of titanic = 3.797 km = 3.8 km

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3 years ago

Read 2 more answers

If m ACB =(11x-32),find the value of x

Digiron [165]

Answer: x= acb/11 + 32/11

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

8 0

3 years ago

Please help asap What is the factored form of this expression? 5p^3-10p^2+3p-6​

Please help asap What is the factored form of this expression? 5p^3-10p^2+3p-6