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3 years ago

Which of the following statements is true

Mathematics

1 answer:

kolbaska11 [484]3 years ago

5 0

Answer:

D. This quadratic equation two complex solutions.

Step-by-step explanation:

$5x^2 +6x +2= 0\\$

Equating it with

$ax^2 +bx +c= 0\\$

a = 5, b = 6, c = 2

$b^2 -4ac\\= 6^2 - 4\times 5\times 2\\= 36-40\\b^2 -4ac= - 4\\$

$\because b^2 -4ac$ is negative.

Therefore, this quadratic equation two complex solutions.

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What is the equation of the line perpendicular to y= 2/3x+1 that passes through the point (12, 6)?

charle [14.2K]

Answer:

y=(-3/2)x+24

Step-by-step explanation:

a perpendicular line should have the negative reciprocal of the line that it is perpendicular to.

negative reciprocal of 2/3 is -3/2

out line should look something like this

y=(-3/2)x+b

then we use the given point to find b

6=(-3/2)12+b

6=-18+b

b=24

6 0

4 years ago

If BD<br> is an angle bisector of ∠ABC<br> and m∠ABC=122o<br> and m∠ABD=8x−3<br> Solve for x.

amid [387]

Has to be the first one because Yk how they do it so yea

8 0

2 years ago

50 37 ? start fraction, 37, divided by, 50, end fraction of a number is what percentage of that number?

nalin [4]

Answer:

$74\%$

Step-by-step explanation:

Let

n------> a number

we have

$\frac{37}{50}n$

n represent the 100%

by proportion

$\frac{100}{n}=\frac{x}{(37/50)n}\\ \\x=100*(37/50)\\ \\x=74\%$

8 0

4 years ago

WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW FULL SOLUTIONS. THANK YOU AND GOD BLESS. THE QUESTION IS ATTACHED. :)

Anuta_ua [19.1K]

9514 1404 393

Answer:

(x, y) = (34/5, -4/5) = (6.8, -0.8)

Step-by-step explanation:

Subtract the first equation from the second to eliminate x.

$\left(\dfrac{x}{3}-\dfrac{y}{2}\right)-\left(\dfrac{x-5}{3}+\dfrac{y+2}{3}\right)=\left(\dfrac{8}{3}\right)-(1)\\\\y\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)+\left(\dfrac{5}{3}-\dfrac{2}{3}\right)=\dfrac{5}{3} \qquad\text{partially simplify}\\\\-\dfrac{5}{6}y=\dfrac{2}{3} \qquad\text{subtract 1}\\\\y=-\dfrac{4}{5} \qquad\text{multiply by $-\dfrac{6}{5}$}$

Substituting for y in the second equation, we can find x.

$\dfrac{x}{3}-\dfrac{1}{2}\left(-\dfrac{4}{5}\right)=\dfrac{8}{3}\\\\5x +6=40 \qquad\text{multiply by 15}\\\\5x=34\qquad\text{subtract 6}\\\\x=\dfrac{34}{5}$

The solution is (x, y) = (34/5, -4/5) = (6.8, -0.8).

7 0

3 years ago

A half-Dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?

Galina-37 [17]

Multiply 31 mm by 56:

56(31 mm) = 1736 mm (answer)

8 0

3 years ago

Read 2 more answers