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NISA [10]
3 years ago
12

A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?

Mathematics
1 answer:
Juliette [100K]3 years ago
5 0
The width is 11m and the length is 23m
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If (x + 2) is a factor of x3 – 19x – p, find the value of p. Help please​
Sergio039 [100]

If x-a is a factor of a polynomial P(x) then, a is its root.

So -2 is a root of x^3-19x-p

(-2)^3-19\cdot(-2)-p=0\\-8+38-p=0\\p=30

3 0
4 years ago
Event A: Spinning violet or yellow on the spinner.
OlgaM077 [116]

Answer:

\sf P(A \cap B)=\dfrac{1}{4}

Step-by-step explanation:

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

<u>Event A - spinning violet or yellow</u>

Assuming that the spinner has 4 different colors (red, orange, violet and yellow) - see attachment.

\implies \sf P(A) = \dfrac{2}{4}=\dfrac{1}{2}

<u>Event B - rolling an even number</u>

Assuming the number cube has 6 sides numbered 1, 2, 3, 4, 5 and 6.  Therefore, the even numbers are 2, 4 and 6.

\implies \sf P(B)=\dfrac{3}{6}=\dfrac{1}{2}

Events A and B are <u>independent events</u> as the outcome of one event does not affect the outcome of the other event.

For independent events A and B:

\implies \sf P(A \cap B)=P(A)P(B)

To find P(A and B), substitute the found values of P(A) and P(B):

\implies \sf P(A \cap B)=\dfrac{1}{2} \times \dfrac{1}{2}=\dfrac{1}{4}

6 0
2 years ago
Read 2 more answers
At the local arcade, Rusty spends $6.75 to enter and $0.25 per game played. If Rusty plays 9
taurus [48]

Answer:

T= (9)($.25) + $6.75

Step-by-step explanation:

total cost = 9($.25) + $6.75

6 0
4 years ago
Please help, find angle GFE + EFL.
MAXImum [283]
Answer:
118

Step by Step Explanation:
Since this is the substitution property, you will basically be replacing things.

So as stated in the first step, angle GFI is equal to 118, and angle GFE+EFL equals angle GFI.

So using substitution, GFI is 118 degrees.
6 0
4 years ago
An equation of the line tangent to y=x^3+3x^2+2 at its point of inflection is
lys-0071 [83]

Answer:

y = 2

y = 6

Step-by-step explanation:

The first thing to do is to find the turning point of the function. For this, derive and equal zero to expression

\frac{\delta y}{\delta x} = 3x^2 +6x

\frac{\delta y}{\delta x} = 0

3x^2 +6x = 0

3x(x +2) = 0

x = 0 and  x = -2

We have 2 inflection points.

Then we have 2 tangent lines:

At the point (0, 2)

Since it is a point of inflection, then the slope of this line is 0. Therefore the tangent line is:

y = 2.

At the point (-2, 6).

The slope of this line is 0.

The equation of the tangent line to the function is:

y = 6

3 0
3 years ago
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