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Dafna11 [192]
3 years ago
15

Simplify. x2 + 2x - 15 x².3x

Mathematics
1 answer:
yaroslaw [1]3 years ago
7 0
Use photo math it helps
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The perimeter of the triangle is 40 units.Which of the following equations could be used to find the value of x?
Artyom0805 [142]

Answer:

13x + 112 = 320.

Step-by-step explanation:

The perimeter is the sum of the 3 sides:

1/2 x + 3/8 x + 11 + 3/4 x + 3 = 40

1/2 x + 3/8 x  + 3/4 x + 3 + 11 = 40

1/2 x + 3/8 x  + 3/4 x + 14 = 40

Multiply through by 8 to remove the fractions:

4x + 3x + 6x  + 14 = 40

13x + 112 = 320.

5 0
3 years ago
can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
3 years ago
Does anybody like anime ??
ad-work [718]
Of course bro why wouldn’t we like anime
3 0
3 years ago
Plz help I’ll mark you
timurjin [86]

Answer:

A 1/2

Step-by-step explanation:

Ratio of short length to hypotenuse

= cos60

= 1/2

4 0
3 years ago
What is the circumference of a circle with a diameter of 5 feet? use 3.14 for pi
artcher [175]

Answer:

15.7

Step-by-step explanation:

Circumference= πd

d= Diameter

7 0
3 years ago
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