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2 years ago

2x2 + 3x – 10 = 0 Find the discriminant for the quadratic equation

Mathematics

1 answer:

bija089 [108]2 years ago

4 0

Answer:

The solutions are:

x=2

x=−5

Explanation:

2x2+3x−10=0

hope this helps (:

Step-by-step explanation:

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Given that KD is congruent to AT prove that angle K is congruent to angle T

Mademuasel [1]

KD is congruent to AT as:

<h3>angles are of equal measure</h3><h3>sides KD and TA are equal</h3><h3>sides DT and KA are equal</h3>

The figure is kite as has two pairs of same sides.

<h3>They are constructed in a way of having same angle.</h3>

7 0

2 years ago

What is the following product? <br>(4x square root 5x^2 + 2^2 square root 6)^2

tangare [24]

The product is $104 x^{4}+16 \sqrt{30} x^{4}$

Explanation:

The given expression is $\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}$

We need to determine the product of the given expression.

First, we shall simplify the given expression.

Thus, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x \sqrt{5} x+2 x^{2} \sqrt{6}\right)^2$

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)^2$

Expanding the expression, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)\left(4 x^{2} \sqrt{5}+2 x^{2} \sqrt{6}\right)$

Now, we shall apply FOIL, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=\left(4 x^{2} \sqrt{5}\right)^{2}+2 ( 2 x^{2} \sqrt{6})(4 x^{2} \sqrt{5})+\left(2 x^{2} \sqrt{6}\right)^{2}$

Simplifying the terms, we have,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=16 \cdot 5 x^{4}+16 \sqrt{30} x^{4}+4 \cdot 6 x^{4}$

Multiplying, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=80 x^{4}+16 \sqrt{30} x^{4}+24 x^{4}$

Adding the like terms, we get,

$\left(4 x \sqrt{5 x^{2}}+2 x^{2} \sqrt{6}\right)^{2}=104 x^{4}+16 \sqrt{30} x^{4}$

Thus, the product of the given expression is $104 x^{4}+16 \sqrt{30} x^{4}$

7 0

3 years ago

P is inversely proportional to V.<br> When V = 8, P = 5<br> Find a formula for Pin terms of V.

AveGali [126]

Answer:

P = $\frac{40}{V}$

Step-by-step explanation:

given P is inversely proportional to V then the equation relating them is

P = $\frac{k}{V}$

to find k use the condition when V = 8 , P = 5 , then

5 = $\frac{k}{8}$ ( multiply both sides by 8 to clear the fraction )

40 = k

P = $\frac{40}{V}$ ← equation of proportion

6 0

2 years ago

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In this polygon, which angle is an interior angle?

mihalych1998 [28]

Answer:

Step-by-step explanation:

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3 years ago

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HELP: Cho charges $1500 to build a small deck and $2500 to build a large deck. During the spring and summer, she built 5 more sm

Ludmilka [50]

Answer:

if she build x numbers of large decks, therefore small decks would be (x + 5)

1500*(x+5)+2500x =23500

1500x+7500+2500x=23500

4000x+7500 =23500

4000x=23500-7500

4000x=16000

x=4

4+5=9

cho built 4 large decks and 9 small decks

7 0

3 years ago