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3 years ago

What is the quadratic formula

Mathematics

2 answers:

LUCKY_DIMON [66]3 years ago

7 0

Answer:

x = -b +or- the square root of (b^2-4ac) ALL / 2a

sing to "pop goes the weasel" lol

kodGreya [7K]3 years ago

6 0

Answer: A

Step-by-step explanation:

The quadratic formula is x = -b ± √b^2 - 4ac divided by 2a. I can't write it down using text but I hope this helps.

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Answer:

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3 years ago

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Which expression is equivalent to \frac{10q^5w^7}{2w^3}.\ \frac{4\left(q6\right)^2}{w^{-5}} for all values of q and w where the

mestny [16]

Answer:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

Step-by-step explanation:

Given

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Required

Determine the equivalent expression

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Simplify the first fraction

$\frac{5q^5w^7}{w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices on the first fraction;

$5q^5w^{7-3}.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$5q^5w^4.\ \frac{4\left(q^6\right)^2}{w^{-5}}$

$\ \frac{5q^5w^4*4\left(q^6\right)^2}{w^{-5}}$

Apply law of indices:

$5q^5w^4*4\left(q^6\right)^2 * w^{5}$

Evaluate the bracket

$5q^5w^4*4 * q^{12} * w^{5}$

Collect Like Terms

$5*4q^5* q^{12}*w^4 * w^{5}$

$20q^5* q^{12}*w^4 * w^{5}$

$20q^{5+12}*w^{4+5}$

$20q^{17}w^9$

Hence:

$\frac{10q^5w^7}{2w^3}.\ \frac{4\left(q^6\right)^2}{w^{-5}} =20q^{17}w^9$

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3 years ago

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity:

Damm [24]

Part A: A pair of similar triangles is triangle DEF and triangle GFD.

Part B: Traingle DEF ~ triangle GFD by the AA Similarity Theorem

Part C: By applying the Leg Rule, the length of segment ED = 4 units.

Recall:

Based on the Angle-Angle Similarity Theorem (AA) two triangles that have two pairs of congruent triangles can be proven to be similar to each other.
In a right triangle where the altitude intersects the hypotenuse, the Leg Rule applies, which is: Hypotenuse/Leg = Leg/Part

The Figure of the given triangle DEF is shown in the attachment below.

Part A: A Pair of Similar Triangles

A pair of similar triangles are traingle DEF and triangle GDF

Part B: Reason for Similarity

Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.