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2 years ago

Complete the square to find the vertex of this parabola. x2 + 10x – y + 15 = 0 ([?], [])

Mathematics

1 answer:

prisoha [69]2 years ago

8 0

Answer:

your answer is -5,-10

Step-by-step explanation:

please mark brainliest

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Marina CMI [18]

It’s c, 4 divided by 4 is .25 which gives you a 25 percent chance to get either

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2 years ago

In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

aleksandr82 [10.1K]

Answer:

$B = 108$

$C = 36$

$D = 36$

Step-by-step explanation:

Given

$B =13x - 35$

$C = 5x - 19$

$D=2x+14$

$BC = BD$

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

$B + C + D = 180$

Since $BC = BD$ , then $C = D$

$B + C + D = 180$ can then be rewritten as:

$B + C + C = 180$

$B + 2C = 180$

Substitute values for B and C

$13x - 35 + 2(5x - 19) = 180$

Open Bracket

$13x - 35 + 10x - 38 = 180$

Collect Like Terms

$13x + 10x = 180 + 38 + 35$

$23x= 253$

Divide both sides by 23

$x = 11$

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

$B =13x - 35$

$B = 13 * 11 - 35$

$B = 108$

$C = 5x - 19$

$C = 5 * 11 - 19$

$C = 36$

$D=2x+14$

$D = 2 * 11 + 14$

$D = 36$

5 0

2 years ago

Find three rational numbers between 1 and 0.

Alex73 [517]

Answer:

1/2, 1/4 & 3/4

Step-by-step explanation:

mean of 0 &1 is $\frac{0+1}{2} =\frac{1}{2} \\$

mean of 0 and 1/2 is $(0+\frac{1}{2} )/2=\frac{1}{2} /2=\frac{1}{2} *\frac{1}{2} =\frac{1}{4}$

mean of 1/2 and 1 is $(\frac{1}{2} +1)/2=\frac{3}{2} /2=\frac{3}{2} *\frac{1}{2} =\frac{3}{4}$

So the three rational numbers are 1/2, 1/4 & 3/4

4 0

2 years ago

Danielle is using 2 quarts of water in a recipe. How many cups of water is she using<br> ?

Papessa [141]

Answer: 8 cups

Step-by-step explanation:

4 cups to 1 quart, so 2 x 4 = 8

5 0

2 years ago

The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuiti

emmainna [20.7K]

Answer:

$625

Step-by-step explanation:

If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:

2(-$14000 + $6500) + 2(12x) = 0.

x is the minimum amount of money he needs to save in order to cover this expense without debt.

Thus 2(-$14000 + $6500) + 2(12x) = 0 →

2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →

24x = $15000 → x = $625

4 0

2 years ago

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