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3 years ago

Complete he statement below. Then use a number line to find the sum 5 + ( -4 )

Mathematics

1 answer:

skad [1K]3 years ago

7 0

Answer:

The statement is 6 in the negative direction

5 + (-4) = 1

Step-by-step explanation:

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Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0

vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

$x_1=-4+2i$ and $x_2=-4-2i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+8x+20=0$

$a=1\\b=8\\c=20$

The discriminant is equal to

$D=(b^{2}-4ac)$

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

$D=8^{2}-4(1)(20)=-16$ -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{-16}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-8(+/-)4i} {2}$

$x_1=\frac{-8(+)4i} {2}=-4+2i$

$x_2=\frac{-8(-)4i} {2}=-4-2i$

8 0

3 years ago

I am a two-digit number. I have a three in the ones place. I am less than 16.

Tomtit [17]

Answer:

Step-by-step explanation:

It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.

7 0

3 years ago

The vertices of triangle ABC are A(5,2), B(–1,–6) and C(1,5). If ΔDEF is similar to ΔABC and , which could be the coordinates of

andriy [413]

Answer:

D(–5,3) and E(–5,1)

Step-by-step explanation:

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3 years ago

Read 2 more answers

What is 17.8 rounded to the nearest tenth

inysia [295]

It would still be 17.8, unless there are more numbers after the 8.

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3 years ago

Z2 - (y = 7, and z=10

Lyrx [107]

Answer:

Step-by-step explanation:

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2 years ago