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QveST [7]
3 years ago
7

Two similar triangles are in the ratio 2:3. If the sides of the bigger triangle are 15 units, 12 units and 9 units, then the len

gth of the shortest side of the smaller triangle is
a. 8 units
b. 6 units
c. 9 units
d. 5 units
​
Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
6 0

It is 6 units because if you divide 9 by 3 you get 3 and you multiple that by 2 to make it 6:9 which is equal to 2:3

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Answer:

It is 4

Step-by-step explanation:

I really hope I helped you Have a nice day

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When multiplying and dividing two numbers in scientific notation, why do u sometimes have to rewrite one factor ?
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You sometimes need to rewrite a factor because the lead number is not between 1 and 10 as it needs to be in scientific notation. For instance, if we had lead numbers of 2 and 5, as we do in the following problem.

2x10^3 * 5x10^9

Then we get the answer of 10x10^12. We need to adjust this by moving the decimal place and increasing the exponent by 1. The correct answer would be 1x10^13 instead.

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Use the quadratic formula to solve for the roots of the following equation.<br> x 2 – 4x + 13 = 0
Artyom0805 [142]
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With our equation, plug in the values:

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Next, solve the exponent and multiplications:

x=\frac{4\pm \sqrt{16-52}}{2}

Next, solve the subtraction:

x=\frac{4\pm \sqrt{-36}}{2}

Next, factor out i (i = √-1):

x=\frac{4\pm \sqrt{36}i}{2}

Next, solve the square root:

x=\frac{4\pm 6i}{2}

Lastly, divide and <u>your answer is:</u>

x=2\pm 3i

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3 years ago
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Step-by-step explanation:

Equation of line is y-y1 = m(x-x1), where m is the slope and (x1,y1) is the given point.

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Equation of the line is,

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8 0
2 years ago
EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =
geniusboy [140]

The Lagrangian,

L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)

has critical points where its partial derivatives vanish:

L_x=1-\lambda-2\mu x=0

L_y=2+\lambda-2\mu y=0

L_z=9-\lambda=0

L_\lambda=x-y+z-1=0

L_\mu=x^2+y^2-1=0

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and L_\lambda=0 tells us

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8 0
3 years ago
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