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2 years ago

Find the value of x. Will mark brainliest.

Mathematics

2 answers:

Arlecino [84]2 years ago

4 0

Answer:

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

aliya0001 [1]2 years ago

3 0

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

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Find the length of the arc, s, intercepted by the given central angle, thetaθ, in a circle of radius, r. θ=30 rad; r=18 m.

Charra [1.4K]

Answer:

540 m

Step-by-step explanation:

We are given that

Central angle, $\theta=30$ rad

Radius of circle=18 m

We have to find the length of the arc s.

We know that

Length of arc, $s=r\theta$

Using the formula then, we get

Length of arc, $s=18\times 30=540 m$

Hence, the length of arc=540 m

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2 years ago

Ignacio can type 55 words per minute (wpm).in 5 minutes, she types 285 words. how many errors would you expect her to make?

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2 years ago

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Georgia [21]

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2 years ago

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lianna [129]

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2 years ago

Find the value of k such that x-2 is a factor of 3x³-kx²+5x+k

Nuetrik [128]

Answer:

$\displaystyle k = \frac{34}{3}$

Step-by-step explanation:

We are given the polynomial:

$\displaystyle P(x) = 3x^3 - kx^2 + 5x + k$

And we want to determine the value of k such that (x - 2) is a factor of the polynomial.

Recall that the Factor Theorem states that a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

Our binomial factor is (x - 2). Thus, a = 2.

Hence, by the Factor Theorem, P(2) must equal zero.

Find P(2):

$\displaystyle \begin{aligned} P(2) &= 3(2)^3 - k(2)^2 + 5(2) + k \\ \\ &= 3(8) - 4k + 10 + k \\ \\ &= 34 - 3k \end{aligned}$

This must equal zero. Hence:

$\displaystyle \begin{aligned} 34 - 3k &= 0 \\ \\ -3k &= -34 \\ \\ k = \frac{34}{3} \end{aligned}$

In conclusion, k = 34/3.

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1 year ago