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Nataly [62]
3 years ago
8

What is the equation simplified

Mathematics
1 answer:
Lilit [14]3 years ago
4 0

\bf \cfrac{2}{7}(2s+3)\implies \stackrel{\textit{distributing}}{\cfrac{2}{7}\cdot 2s+\cfrac{2}{7}\cdot 3}\implies \cfrac{2\cdot 2}{7}s+\cfrac{2\cdot 3}{7}\implies \cfrac{4}{7}s+\cfrac{6}{7}

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Please help me with this asap
sesenic [268]

Answer:

A = 27π cm² or A ≈ 84.823... cm²

Step-by-step explanation:

From being shown that the missing area is 90 out of 360°, we know that we need to find 75% of the area of the given circle.

Our equation is altered to: A = 0.75πr²

Plug in: A = 0.75π(6)²

Multiply: A = 27π cm²

If you were instructed to multiply pi and round (which is not as probable given that this is RSM), then the answer would be A ≈ 84.823... cm²

8 0
3 years ago
Read 2 more answers
16 points to whoever can answer this question !!
sdas [7]

\dfrac{3^4}{3^2}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=3^{4-2}=3^2\\\\Answer:\ \boxed{b.\ 3^2}

7 0
3 years ago
Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s
sergey [27]

Answer:

y = x⁴ − 9x² − 50x − 150

Step-by-step explanation:

Complex roots come in conjugate pairs.  So if -1 + 3i is a root, then -1 − 3i is also a root.

y = (x − 5) (x + 3) (x − (-1 + 3i)) (x − (-1 − 3i))

y = (x − 5) (x + 3) (x + 1 − 3i) (x + 1 + 3i)

Distribute using FOIL (first, outer, inner, last) to get real coefficients:

y = (x − 5) (x + 3) (x² + (1 + 3i)x + (1 − 3i)x + (1 − 3i)(1 + 3i))

y = (x − 5) (x + 3) (x² + x + 3ix + x − 3ix + 1 + 3i − 3i − 9i²)

y = (x − 5) (x + 3) (x² + 2x + 1 + 9)

y = (x − 5) (x + 3) (x² + 2x + 10)

Distribute to convert from factored form to standard form:

y = (x² + 3x − 5x − 15) (x² + 2x + 10)

y = (x² − 2x − 15) (x² + 2x + 10)

y = x²(x² + 2x + 10) − 2x(x² + 2x + 10) − 15(x² + 2x + 10)

y = x⁴ + 2x³ + 10x² − 2x³ − 4x² − 20x − 15x² − 30x − 150

y = x⁴ − 9x² − 50x − 150

8 0
3 years ago
QS is an angle bisector, what is the value of x?
prohojiy [21]

Answer:

The value of x is 16

Step-by-step explanation:

The angle Bisector of a triangle will divide the opposite side into two segments that are proportional to the other two sides of the triangle

In Δ QPR

∵ QS is the angle bisector

∵ PR is the opposite side

→ By using the rule above

∴ \frac{PS}{PQ} = \frac{SR}{RQ}

∵ PS = x and PQ = 30

∵ PR = 40

∵ RS = PR - PS

∴ RS = 40 - x

∵ RS = 40 - x and RQ = 45

→ Substitute them in the rule above

∴ \frac{x}{30} = \frac{40-x}{45}

→ By using the cross multiplication

∵ x × 45 = 30 × (40 - x)

∴ 45x = 30(40) - 30(x)

∴ 45x = 1200 - 30x

→ Add 30x to both sides

∵ 45x + 30x = 1200 - 30x + 30x

∴ 75x = 1200

→ Divide both sides by 75

∴ x = 16

∴ The value of x is 16

6 0
3 years ago
Given the function 12x-16y=-48
Varvara68 [4.7K]
12x-16y= -48
Set x=0
-16y= -48; y= 3
(0, 3)

Set x=0
12x= -48
x= -4
<span> (-4,0) </span>

3 0
3 years ago
Read 2 more answers
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