What is the vertex of the function h(x) = (x+ 6 + 3? O A. (-6,-3) O B. (-6,3) OC. (6,3) OD. (6,-3)​

Answer:

= 1 ± √ 5 over 2

Step-by-step explanation:

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Answer:

.

See the diagram attached below.

Let the chords be AB and AC with common point A.

AD is the diameter. Join B with D and C with D to form two triangles.

We need to prove that AB=AC.

\begin{gathered}In\ \triangle ABD\ and \triangle ACD;\\Given\ that\ \angle BAD=\angle CAD----(condition\ 1)\\since\ AD\ is\ diameter, \angle ABD=\angle ACD = 90^0\\So\ \angle ADB=\angle ADC--------(condition\ 2)\\AD=AD\ (common\ side)-----(condition\ 3)\\ \\So\ the\ triangles\ are\ congruent\ by\ ASA\ rule.\\Hence\ AB=AC.\end{gathered}

In △ABD and△ACD;

Given that ∠BAD=∠CAD−−−−(condition 1)

since AD is diameter,∠ABD=∠ACD=90

0

So ∠ADB=∠ADC−−−−−−−−(condition 2)

AD=AD (common side)−−−−−(condition 3)

So the triangles are congruent by ASA rule.

Hence AB=AC.

Answer:

Solution

−12+

I know it LOL

Answer:

42

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

first you have to multiply your exponent which is 2 x 2 which is 4 then do the problem which is 18 + 6 = 24 x 4 = 96

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

In order to solve this problem, you first need to identify whether or not the two triangles formed in the image are similar; you can tell that they are similar by the AAA property because they share a vertex, and the other two angles are congruent because of the Corresponding Angles Theorem. Now that you know the triangles are similar, you need to identify the corresponding sides:

x + 6 corresponds to x

21 corresponds to 9 (21 because 30 - 9 = 21)

You can find the scale factor by dividing 21 by 9:

21 ÷ 9 = 7/3

Now that you know the scale factor, you can write and solve an equation:

7/3x = x + 6 (given)

4/3x = 6 (subtract x from both sides)

x = 9/2 (multiply both sides by 3/4)

Answer:

bottom right 8 x 10^1

Step-by-step explanation:

multiply the numbers (2x4 is 8)

add the exponents of 10 (-3+4 is 1)

so the answer is the bottom right 8 x 10^1

Answer:

add'em all up

Step-by-step explanation:

Answer:

4x⁶(1+2x²)²

Step-by-step explanation:

Factor out the common term 2x³

Use Multiplication Distributive Property: (xy)^a=x^a y^a

Simplify 2² to 4

The use the power rule and you get 4x⁶(1+2x²)²

Answer:

−8y^2+9x+4y+11

Step-by-step explanation:

=12x+4y+−3x+2+−8y^2+9

Combine Like Terms:

=12x+4y+−3x+2+−8y^2+9

=(−8y^2)+(12x+−3x)+(4y)+(2+9)

=−8y^2+9x+4y+11

Good luck <3

Answer:

-8y^2+9x+4y+8

Step-by-step explanation:

^ refers to squared in my answer

Answer:

Step-by-step explanation:

Unit rate per fluid ounce = $0.15

Step-by-step explanation:

Given that:

Cost of one quart bottle of juice = $4.80

We know that:

One quart = 32 ounces

Unit rate is the rate in which two quantities are compared and one of them is one.

Unit rate =

Unit rate = $0.15 per fluid ounce

Hence,

Unit rate per fluid ounce = $0.15

Answer:

Wyatt bought 32 fluid ounces.

Step-by-step explanation:

If Wyatt bought a 1 quart bottle of juice, (which you would need to convert into fluid ounces) but every 0.1 quarts of juice would be 3.2 fluid ounces. And if 0.5 quarts of juice is 16 ounces we could do 16 + 16 (fluid ounces) and we would get 32 fluid ounces in total.

And that's how you get the answer! :)

Answer:

3

Step-by-step explanation:

If you notice the y is the change in distance, so #3 has the best explanation.

Answer:

sihhhhjjjjuuuuuuuuuuuuuuii

Answer:D.All sides are congruent

The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Here, we have

a) In a parallelogram, opposite sides are parallel (which is why it is called a Parallelogram).

b) Opposite angles are congruent (not ALL angles). The only parallelograms where all of the angles are congruent are Squares and Rectangles.

c) Consecutive angles are supplementary so their SUM must be 180°. Therefore if one angle is less than 90° (acute), the other angle must be greater than 90° so it is not possible that all angles are acute (∠ 90°).

d) The sides do not have to be equal.  The only parallelogram whose sides have equal lengths are Squares.

Hence, The solution is:  a) Opposite sides are parallel, the following is true for all parallelograms.

To learn more on parallelogram click:

brainly.com/question/6166074

#SPJ2

complete question:

What of the following is true for all parallelograms? Opposite sides are parallel. All four angles are congruent. All four angles are acute angles. All four sides are equal in length.

Answer: C

Step-by-step explanation:

S(speed)=D(distance)/T(time) so (d)1000/(t)50= 20m/s

Answer:

it's intersects the x axis at (3,3)

Answer:

Second choice is correct.  The coordinates of the points add up to 3

Step-by-step explanation:

only the first choice is correct.  The line intersects the x-axis at (3, 0), not (3, 3)

The line intersects the y-axis at (0, 3), not (3, 3)     x and y add up to 3, not 6

Answer:

10

Step-by-step explanation:

Count from side to side. Point A to the arrow on the right, then point B to the arrow on the right, then point C to the arrow on the right, then point D, then point E. That's only one side, so double those five rays and you get ten (10). I was confused about this too at one point. You got this :)

Step-by-step explanation:

I think it's option B is the correct answer of this question.

Answer: 3

Step-by-step explanation:

Answer:

D)

Step-by-step explanation:

Answer:

10 days.

Step-by-step explanation:

If you just multiply 5 days x 2 it doubles 25 liters which is pretty simple, and doesn't need to much explanation. I hope that helps :)

Answer:

C

Explanation:

Answer:

"Theorem 106: If the slopes of two lines are opposite reciprocals of one another, or the product of their slopes is −1, then the lines are nonvertical perpendicular lines." - www.cliffsnotes.com

Answer:

2 / 3 loads

Step-by-step explanation:

From. The plot, we can conclude that, the detergent that has the most bottles is that with 5 ; the number of cups in the detergent with 5 bottles is 12 cups

Number of cups used for each load of laundry = 18 cups

The loads of laundry Eric can do is thus :

Number of cups of detergent / number of cups used for each load of laundry

= 12 / 18

= 2 / 3 loads

Answer:

1 1/2

Step-by-step explanation:

I took the test

Answer:

a) T

b) T

c) F

d) F

e) F

f) F

g) T

h) T

i) T

Answer:

B

Step-by-step explanation:

because it goes (X,Y) and 1 the bottom line and 15 is the raise

Answer:

True

Step-by-step explanation:

Answer:

yes, you have it right except you need the 1458 negative

Step-by-step explanation:

Nice job getting them right!

Answer: 1) 8/15 2) 2 4/9 3) -13/45

Step-by-step explanation:

1/5 + 1/3 = 6/30 + 10/30 = 16/30 = 8/15

2 1/9 + 1/3 = 19/9 + 3/9 = 22/9 = 2 4/9

1/9 - 2/5 = 5/45 - 18/45 = -13/45