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2 years ago

What could be the length of the third side of the triangle if it is known that the first two sides are 15 and 27?

Mathematics

1 answer:

kodGreya [7K]2 years ago

3 0

It will be between the sum and difference of the two given sides.

12 < third side < 42

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A point located at (-5, -6) is reflected over the y-axis. What are the coordinates of the image? (-5, 6) (5, -6) (5, 6) (-6, -5)

BigorU [14]

<u>Answer:</u>

The correct answer option is (5, -6).

<u>Step-by-step explanation:</u>

We know that the following are the coordinates of a point:

$( - 5 , - 6 )$

If this point is reflected through y axis, we are to find the coordinates of its image?

If a point is reflected through y-axis, the sign of the x coordinate is changed so we get:

$( - 5 , -6 )$ $\implies$ (5, -6)

7 0

2 years ago

The square of a number decreased by 3 times the number 28 find all possible values for the number

stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

$a^2 - 3a = 28$

$a^2 - 3a - 28 = 0$

Let us solve the above quadratic equation

$\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Using the above formula,

$\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28$

$\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}$

Thus the possible values of number are 7 and -4

5 0

2 years ago

Three plots of farmland are for sale. Each plot is a different size. Plot

Rus_ich [418]

Answer:

Paydirt may be the answer

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2 years ago

A pattern has 77 yellow triangles to every 33 green triangles. What is the ratios of green triangles to yellow triangles?

Anton [14]

For every 33 green triangles, we have 77 yellow triangles.
So using the original ratio 33:77 we can simplify this by dividing both sides by 11 so that we get the ratio 3:7 so for every 3 green triangles we have 7 yellow triangles.

6 0

1 year ago

Solve for x. In the equation 9x +1/3= x-13

Xelga [282]

Answer:

Step-by-step explanation:

9x+ $\frac{1}{3}$ =x-13

9x*3+1/3=x-13

27x+1/3=x-13

27x+1=3(x-13)

27x+1=3x-39

27x-3x=-39-1

24x=-40

x=-5/3

6 0

2 years ago

Read 2 more answers