Answer:
v=-5 and v=3
Step-by-step explanation:
We are given that

We have to find two solutions of quadratic equation.

Using addition property of equality
(By using factorization method)


Substitute each factor equal to 0
and 
and 
Hence, two solutions of quadratic equation are
v=-5 and v=3
Helping hand read the hint it is 32.48
Answer:
The approximate distance between the points is 38.2
Step-by-step explanation:
The distance between these two points is a diagonal line. In order to solve this problem, you need to plot your points and form a right triangle. The overall distance from one point to another on the x-axis is 26 (12-(-14)), and the overall distance from one point to another on the y-axis is 28 (20-(-8)). These two distances will form a right angle at (-14,-8). The distances on the x and y axis are the 'legs' of the triangle and the distance between the given points in the problem represents the hypotenuse. Using the pythagorean theorem (a^2 +b^2 = c^2), we can substitute in our values of 'a' and 'b' to get 28^2 + 26^2 = c^2, or 784 + 676= 1460, therefor the square root of 1460 is approximately 38.2.
<u><em>Answer:</em></u>
second leg = 24 units
hypotenuse = 24√2 units
perimeter = 48 + 24√2 units
<u><em>Explanation:</em></u>
<u><em>1- getting the other leg:</em></u>
Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths.
We are given that one of the legs is 24 units, therefore, the other leg is also 24 units
<u><em>2- getting the hypotenuse:</em></u>
The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows:
(hypotenuse)² = (24)² + (24)²
(hypotenuse)² = 1152
hypotenuse = 24√2 units
<u><em>3- getting the perimeter:</em></u>
The perimeter of the triangle is the summation of its three sides.
In the given triangle, we have:
two legs = 24 units
hypotenuse = 24√2 units
Therefore:
perimeter = 24 + 24 + 24√2
perimeter = 48 + 24√2 units
Hope this helps :)
Answer:
EG = 41
Step-by-step explanation:
the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is
7x + 9 = 5x + 23 ( subtract 5x from both sides )
2x + 9 = 23 ( subtract 9 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
then
EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41