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3 years ago

Solve the following question Find X,Y Please help I need this done by today.

Mathematics

1 answer:

Katarina [22]3 years ago

6 0

Answer:

x = 3, y = 2

Step-by-step explanation:

The triangles are similar, thus the ratios of corresponding sides are equal, that is

$\frac{x}{6}$ = $\frac{1.5}{3}$ ( cross- multiply )

3x = 9 ( divide both sides by 3 )

x = 3

and

$\frac{y}{4}$ = $\frac{1.5}{3}$ ( cross- multiply )

3y = 6 ( divide both sides by 3 )

y = 2

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Solve the equation 2/5x-1=9. Complete each step of the solution and check your solution

Fofino [41]

Answer:

x = 25

Step-by-step explanation:

2/5x - 1 = 9

Add 1 to both sides

2/5x = 10

Multiply by 5 on both sides

2x = 50

Divide by 2 on both sides

x = 25

Check the answer:

Plug in 25 for x

2/5(25) - 1 = 9

10 - 1 = 9

9 = 9

The answer is correct.

3 0

3 years ago

Solving system of equations by substitution

weeeeeb [17]

Y=3x-10 and 3x+2y=16
y=3x-10
subsitute 3x-10 for y in other equation

3x+2y=16
3x+2(3x-10)=16
distribute
3x+6x-20=16
9x-20=16
add 20 both sides
9x=36
divide both sides by 9
x=4

sub back

y=3x-10
y=3(4)-10
y=12-10
y=2

x=4
y=2
(4,2) is soluiton

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.