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Tems11 [23]
3 years ago
13

Please please please help

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0

Answer:

\boxed{s=3}

Step-by-step explanation:

Use a proportion to solve for the missing side length - a/c = b/d.

  • AB = XY
  • BC = YZ

4/2 = 6/s cross-multiply

4s = 12 divide by 4

\boxed{s=3}

alexandr402 [8]3 years ago
3 0

Answer:

Step-by-step explanation:

Because these triangles are similar, their sides exist in proportion to one another. Their angles are exactly the same. but their sides are proprtionate IF they are similar. We are told they are so setting up the proportion:

\frac{4}{2}=\frac{6}{s} and cross multiply:

4s = 12 so

s = 3

You could also look at the fact that the height of the larger triangle is 4 and the height of the smaller is 2, so the larger is twice as big as the smaller; likewise, the smaller is half the size of the larger (that means the same thing). So if the larger side is 6, half of that is 3.

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He product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be
madam [21]

He product of two positive numbers is 750. The first number is 5 less than the second number. The equation x(x – 5) = 750 can be used to find x, the value of the greater number. What is the value of the greater number?


Solution

Here the second number is "x"

The first number is "x - 5"

The equation is x (x - 5) = 750

x^{2}- 5x = 750

Subtract 750 from both sides, we get

x^{2} -5x -750 =0\\

Solving the above quadratic  equation using quadratic formula, we get

x = \frac{-b+/- \sqrt{b^{2}-4ac } }{2a}

Here we have to plug in  a =1, b = -5 and c = -750 in the above formula, we get

x = \frac{5 +/-\sqrt{3025} }{2}

When we simplify the above expression is...

x = 30 and x = -25

x = -25 cannot be the solution since it is negative value.

x = 30 is the solution.

Here "x" represents the second number which is 30, that is the greater number.

Therefore, the answer is 30.

5 0
3 years ago
Read 2 more answers
HELP ASAP PLEASE
Liula [17]

distance : 15 units

coordinates :  (7,0) and (-8, 45)

slope:

\sf \rightarrow  \dfrac{y_2-y_1}{x_2-x_1}

\sf \rightarrow  \dfrac{45-0}{-8-7}

\sf \rightarrow  -3

equation:

\hookrightarrow \sf y - 0 = -3(x-7)

\hookrightarrow \sf y = -3x+21

the y-intercept of this function:

\hookrightarrow \sf y = -3(0)+21

\hookrightarrow \sf y =21

distance between both y-intercept :

  • 21 - 6
  • 15
3 0
2 years ago
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