One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the angle between the legs to the hypotenuse is 8 cm. Find the length of the hypotenuse without using the quadratic formula

Q: Find the quadratic equation if the roots are 3 and - 4.

A: Quadratic equation with roots a and b is x2-(sum of the roots)x + product of the roots =0…

Q: Solve by using the quadratic formula.

A: To Determine: solve by using the quadratic formula Given: we have 32z2-4z-1=0 Explanation: we have a…

Q: Why do we take square roots of both sides of the equal sign when solving quadratics

A:

Q: the length of a wooden frame is 1 foot longer than its width and its area is equal to 12 ft^2 give…

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 8x + 11 = 0, which…

A: To complete the square of the quadratic equation             x2+8x+11=0 What number should be added…

Q: 3x 2 -х+10

A: Given3x2=-x+103x3+x-10=0compair withax2+bx+c=0a=3b=1c=-10we know that quadric…

Q: If using the method of completing the square to solve the quadratic equation 15x +2 = 0, which…

A: Given equation is x2-15x+2=0             ...... (1) Compare this equation with ax2+bx+c=0, a=1,…

Q: Solve for the range and axis of symmetry of the given quadratic functions

A: To Solve for the range and axis of symmetry of the given quadratic functions4) y=x2+5x-145)…

Q: The length of the longer leg of a right triangle is 14ft longer than the length of the shorter leg…

A: Given:The length of the longer leg of a right triangle is 14ft longer than the length of the shorter…

Q: If the discriminant of a quadratic equation is 4, then the equation has

A:

Q: If using the method of completing the square to solve the quadratic equation 22 + 7x + 27 = 0, which…

A: We need to use the method of completing the squares to solve x2+7x+27=0 We need to complete the…

Q: In a right triangle the altitude corresponding to the hypotenuse divides the hypotenuse into an 8 cm…

A:

Q: Determine the quadratic equation whose one root is 3 and the product of the roots is 36.

A: Topic = Quadratic equation

Q: If using the method of completing the square to solve the quadratic equation x2 + 15x + 25 = 0,…

A:

Q: Solve by using the quadratic formula: 3x2 – 2x + 2 = 0

A:

Q: The hypotenious of a grassy land in the shape of a right triangle is 1 meter more than twice the…

A: let the length of shortest side = x mthen we have hypotenious =(2x+1) mthird side =(x+7) m

Q: One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the…

A: One leg of the right triangle is 6 cm longer than the other leg. The length of the height from the…

Q: If using the method of completing the square to solve the quadratic equation X2 – 15x + 22 = 0,…

A: The method of completing the squares uses the concept of rewriting the quadratic equation such that…

Q: If using the method of completing the square to solve the quadratic equation x² + 3x + 21 0, which…

A:

Q: Solve by quadratic formula  3x2 =6x+1

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 13x + 15 = 0,…

A: Consider the quadratic x2+13x+15=0.

Q: What error did this person make while solving the equation using the quadratic formula?

A: Given,                6x² + 11x - 35 = 0

Q: Solve by using the quadratic formula.

A: We have to solve this equation by quadratic formula   the given equation is  3x2+5x+1=0

Q: The length of the longer leg of a right triangle is 9ft longer than the length of the shorter leg x.…

A: Given that the length of the shorter leg is x.Also it is given that the hypotenuse is 9 ft shorter…

Q: How is the quadratic formula derived?

A:

Q: Solve by using quadratic formula 9x^2+12x-32=0

A: topic - quadratic equations

Q: Find the length of the shorter leg of a right triangle if the longer leg is 15 feet more than the…

A: Here use the Pythagoras theorem  given as  H2  = B2 + P2 to solve the problem.

Q: Find atleast 1 root for the equation 5x5 + 10x? = 3

A: Introduction: An equation can be described mathematically as a statement that proves the equality of…

Q: The hypotenuse of a right triangle is sqrt(74) ft and the sum of the lengths of the legs is 12 ft.…

A:

Q: Find the roots of the equation using the quadratic formula 7x² + 3x-1=0

A: The given equation is 7x2+3x-1=0. We have to find roots of the equation using quadratic formula.…

Q: The hypotenuse of right- angled triangle is 6 metres more than twice the shortest side. If the third…

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 20x + 28 = 0,…

A:

Q: If using the method of completing the square to solve the quadratic equation x^2+8x+37=0, which…

A: to complete the square

Q: If using the method of completing the square to solve the quadratic equation x2 – 20x – 25 = 0,…

A: Completing the square method is one of the methods used to find the roots of a quadratic equation by…

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 4x = 3 %3D

A:

Q: Solve for the roots in simplest form using the quadratic formula: 2x2 – 22 = 16x

A: Given :             The equation is 2x2 - 22 = 16x   To solve for the roots of 2x2 - 22 = 16x…

Q: Find the length of the missing side of a right triangle with one side length of 10 meters and a…

A:

Q: 16. Find the discriminant of x-4x + 6- 0.

A: This question is based on Quadratic equation.

Q: The length of a rectangular garden is 6 meters more than the width of the garden. If there are of…

A: Let x meters be the width of the garden.Therefore the length of the graden is (x + 6) meters,…

Q: 15. x2 - 16x + 10 = 4x?

A:

Q: If using the method of completing the square to solve the quadratic equation x2 - 10x +21= 0, which…

A:

Q: If using the method of completing the square to solve the quadratic equation x2 + 3x + 21 = 0, which…

A: The number that has to be added to the equation ax2+bx+c=0 to complete the square and solve the…

Q: If using the method of completing the square to solve the quadratic equation 22 +7x +27 = 0, which…

A: Given: x2+7x+27=0

Q: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the ________.

A: The quantity under the radical sign of the Quadratic Formula, b2 − 4ac, is the Discriminant…

Q: 5x2 - 9x + 10 =0

A: Given equation5x2-9x+10=0compair withax2+bx+c=0a=5,b=-9,c=10we know that quadratic…

Q: If using the method of completing the square to solve the quadratic equation x² + 17x – 22 = 0,…

A: Given : x2+17x-22=0

Q: If using the method of completing the square to solve the quadratic equation 2+ 7x + 27 0, which…

A: First bwe have completed square so that we are left with only constant term.

Q: Solve for the roots in simplest form using the quadratic formula: 4x2 + 29 = –12x %3D

A: We can find the roots of a quadratic equation by using the Shree Dhara acharya formula as:-…