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3 years ago

What value of b will cause 16x ^ 2 + bx + 4 = 0 to have one real solution ?

Mathematics

1 answer:

bekas [8.4K]3 years ago

6 0

Answer:

b = 16

Step-by-step explanation:

16*x + b*x + 4 = 0

Solving for x we get:

x₁,₂ = - b ± √ b² - 4*a*c ] / 2*a (1)

If we take a look to the square root

√ b² - 4*4*16 = √ b² - 256

if we make √ b² - 256 = 0

b² = 256 ⇒ b = 16

Then equation (1) becomes:

x₁,₂ = ( - 16 ± 0 ) / 32

x = - 1/2

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3 years ago

The volume of a cone with a height of 4 cm is 12π cubic cm. What is the radius of the base?

blondinia [14]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

Which triangle congruence postulates can be used to prove that Triangle ABD is congruent to Triangle CDB in Rectangle ABCD?

kramer

Answer:

SSS, SAS, ASA, AAS, HL

Step-by-step explanation:

1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.

2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.

3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.

4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.

5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.

Because it is a rectangle, the sides are equal, and they share the same hypotenuse.

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2 years ago