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Mathematics

1 answer:

nydimaria [60]3 years ago

3 0

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation. The equation for the discriminant is $b^{2}-4ac$ , where b is the coefficient of x, a is the coefficient of $x^{2}$ , and c is the number with no variable attatched to it. If we plug in the numbers ( $17^{2} -4*4*3$ ) it gives you 241, which is the discriminant. Since 241 is more than zero, it has 2 zeros. If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

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What is the solution for r in the following system of equations?<br> 2x + 3y = 16<br> 2 + 2y = 10

klio [65]

Answer:

(2,4)

*View attached graph*

Step-by-step explanation:

2x + 3y = 16

2 + 2y = 10

-2 - 2

2y = 8

/2 /2

y = 4

2x + 3y = 16

2x + 3(4) = 16

2x + 12 = 16

- 12 - 12

2x = 4

/2 /2

x = 2

(x,y) -> (2,4)

Hope this helps!

8 0

2 years ago

Proving the Parallelogram Diagonal Theorem

lora16 [44]

Answer:

The proof is given below.

Step-by-step explanation:

Given a parallelogram ABCD. Diagonals AC and BD intersect at E. We have to prove that AE is congruent to CE and BE is congruent to DE i.e diagonals of parallelogram bisect each other.

In ΔACD and ΔBEC

AD=BC (∵Opposite sides of parallelogram are equal)

∠DAC=∠BCE (∵Alternate angles)

∠ADC=∠CBE (∵Alternate angles)

By ASA rule, ΔACD≅ΔBEC

By CPCT(Corresponding Parts of Congruent triangles)

AE=EC and DE=EB

Hence, AE is conruent to CE and BE is congruent to DE