MATHEMATICS HIGH SCHOOL

What is the solution set of the given equation?
4y - 6y + 9y = -2

Answers

Answer 1

Answer:

Answer:

$y=-(2)/(7)$

Step-by-step explanation:

Given: $4y-6y+9y=-2$

To find: The solution set of the equation.

Solution:

We have, $4y-6y+9y=-2$ , and we need to find the solution set.

Now, we know that a solution set is any value of a variable in an equation which satisfies the equation. So, we need to find the value of variable, y in the given equation.

So, we have

$4y-6y+9y=-2$

$\implies 13y-6y=-2$

$\implies 7y=-2$

$y=-(2)/(7)$

Hence, the solution set of the equation is $y=-(2)/(7)$

Answer 2

Answer: 4y - 6y + 9y = -2
-2y + 9y = -2
7y = -2
7 7
y = ⁻²/₇

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Two sides of an isosceles triangle have lengths of 6 inches and 15 inches,respectively.FInd the length of the third side.Explain your reasoning.

Answers

Answer:

The length of the third side is 15 inches.

Step-by-step explanation:

Generally in triangles, the longest side is opposite to the greatest angle. But for an isosceles triangle, two angles are equal and so two sides opposite to these angles. The two angles are greater than the third, so the opposite sides to the angles are equal and longer than the third side.

The answer is 15. Because an isosceles is a triangle wirh two equal sides, the side will have to be either 6 or 15. But for the triangle to fot the definition, the sum of two sides must be greater than the third. It couldn't be six because 6+6<15, but 15 works because 6+15>15.

What's the hypothesis of a triangle ?

Answers

The hypotenuse of a right-angled triangle is the square root of the sum of squares of perpendicular and base, $h=√(b^2+p^2)$

A triangle is a figure consist of 3 sides. A triangle is only formed when the sum of two sides is greater than the third side. A right-angled triangle is a triangle in which one angle is of 90 degrees.

Here, for hypotenuse to exists, the required triangle must be a right-angled triangle. Three sides of the right-angled triangle are Base, perpendicular and Hypotenuse.

Let,

Base of the right-angled triangle = b

Height of the right-angled triangle = p

Hypotenuse of the right-angled triangle = h

where h²=b²+p²

$h=√(b^2+p^2)$

So, hypotenuse is the square root of the sum of squares of perpendicular and base.

Learn more about right-angled triangle:

brainly.com/question/3770177

#SPJ6

Correct question:

What is the hypotenuse of a right-angled triangle?

It is the slant side of the triangle its the longest side or in other words it forms a 90 degree angle the side thats going from top to bottom is you hypotenuse

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Answers

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Answer:

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Answers

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Follow the steps in purple to evaluate:4
+
9
To add or subtract fractions, their denominators
must be the same. We can get a common
denominator by multiplying the second fraction
by 3/3.
6
-
(-}).
What number belongs in the green box?
Enter