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Oksana_A [137]
3 years ago
7

What is the formula of (x^3 + y^3) as a factorized form?​

Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

x³ + y³ ← is a sum of cubes and factors as

(x + y)(x² - xy + y²) ← in factored form

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Given: ∆PQR, m∠R = 90° m∠PQR = 75° M ∈ PR , MP = 18 m∠MQR = 60° Find: RQ
tensa zangetsu [6.8K]

Answer:    RQ= 8.99 ( approx)

Step-by-step explanation:

Let MR= x

Since, In triangle, PRQ, tan 75°= \frac{18+x}{RQ}

⇒ RQ=  \frac{18+x}{tan 75^{\circ}}

Now, In triangle MRQ,

tan 60°= \frac{18+x}{RQ}

⇒ RQ=  \frac{x}{tan 60^{\circ}}

On equating both values of RQ,

\frac{18+x}{tan 75^{\circ}}=\frac{x}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=\frac{tan 75^{\circ}}{tan 60^{\circ}}

⇒\frac{18+x}{x}=2.15470053838

⇒18=2.15470053838x-x

⇒x=15.5884572681≈15.60

Thus RQ=8.99999999999≈8.99


6 0
3 years ago
Select the correct answer. Consider the following system of equations. Use this graph of the system to approximate its solution.
vesna_86 [32]

The approximate solution to the given system of equations, considering the graph, is given as follows:

D. \left(-\frac{13}{4}, \frac{5}{2}\right).

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

On a graph, the solution of a system of equations is given by the intersection between the curves. In this graph, the intersection of the two curves happen close to x = -3.25, y = 2.5, hence the solution is approximated by:

D. \left(-\frac{13}{4}, \frac{5}{2}\right)

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
Problem page isabel runs 7 miles in 50 minutes. at the same rate, how many miles would she run in 75 minutes?
sammy [17]
<span>if isabel runs 7 miles in 50 minutes, then you know she runs 7/50 miles in one minute, right? So multiply that by the number of minutes she did run, and you can find the distance:


</span><span> 7
------ x 75 =
50


525
------
50


</span><span> If you plug that fraction into your calculator, you get 10.5, so 10 and a half miles.</span>
8 0
3 years ago
A website had826,140 hits last month what is the value of the 8in 826,140
Fynjy0 [20]
The value of 8 is Hundred Thousand
3 0
3 years ago
In the following number, which place value does the 3 hold? 993,140 hundreds thousands ten thousands hundred thousands
Agata [3.3K]
It's in the thousand place value
4 0
4 years ago
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