Answer:
28
Step-by-step explanation: im not sure this type of work is not my best but i gave it a try
Hey can someone please help me
The vertex is located at (h,k)
The two roots p and q can be defined as such
p = h-rq = h+rwhere r is the horizontal distance between the vertex and either root. We use the same r value for each equation because of symmetry. The diagram below shows what I mean.
Let's add up those two equations to get
p+q = 2h
The left hand sides p and q add to p+q. The right hand sides add to (h-r)+(h+r) = 2h. Note the r's cancel.
From here, we divide both sides by 2 and we end up with
h = (p+q)/2
In short, if we know the roots p and q, then we find the x coordinate of the vertex (h) to be the average of those roots. You add up the roots and then divide by 2.
After you figure out the value of h, finding the value of k will have us plug in this h value into the quadratic equation and simplifying.
------------------------
Example:
Let's say we have the quadratic y = x^2 - 8x + 12. This factors to (x-2)(x-6)
Solving (x-2)(x-6) = 0 shows that x-2 = 0 becomes x = 2 and x-6=0 becomes x = 6.
So the roots here are p = 2 and q = 6. The order of the roots doesn't matter.
Averaging these roots gives us
h = (p+q)/2
h = (2+6)/2
h = 8/2
h = 4
The x coordinate of the vertex is x = 4.
Plug this back into the original equation to find...
y = x^2 - 8x + 12
y = (4)^2 - 8(4) + 12
y = 16 - 32 + 12
y = -16 + 12
y = -4
Or you could say
y = x^2 - 8x + 12
y = (x-2)(x-6)
y = (4-2)*(4-6)
y = (2)*(-2)
y = -4
Either way, we find that k = -4 is the y coordinate of the vertex
The vertex for this example is located at (h,k) = (4, -4)
Refer to the diagram below.
Help me please I don’t understand these please helpp
Help meee !!! Last question
Answer:
It'll be 2. Equation 1 will be 4 times larger than equation 2,
exp. 1. 21/3*4
= 7*4
=28
exp 2. 21/3
= 7
Hence, it is four times
Hope it helped
All the best!! ♥
Solve for w. -2 > W - 12
Answer:
10 > w
Step-by-step explanation:
-2 > w-12
Add 12 to both sides of the equation in order to isolate w
-2+12 > w-12+12This will cancel out 12 on the right side of the inequality as well as give the value of w on the left side of the inequality.
10 > wMontrey recently paid off his simple interest loan. If he borrowed $6,500 for 5 years at 7%, what was the total amount he had to pay back?
9514 1404 393
Answer:
$8,775
Step-by-step explanation:
The amount due is given by the formula ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years.
A = $6,500(1 +0.07×5) = $6,500(1.35) = $8,775
Montrey had to pay back $8,775.
15 points!!! Help!! Find x. Round to the nearest tenth
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer: 16
Reason: bc it just is
Work out the circumference of this circle with radius 7.5cm
Take pi to be 3.142
Answer:
15pi cm or 47.12
Step-by-step explanation:
Radius= 7.5cm
7.5 x 2 = 15
diameter= 15cm
circumference = pi x diameter
circumference= pi x 15
=15pi cm or 47.12
0.12 divided by 5.676
Answer:
47.3
Step-by-step explanation:
The length of a rectangle is 2ft longer than its width.
If the perimeter of the rectangle is 40ft , find its area.
You earn 28$ for washing 7 cars. How much do you earn for washing 3 cars?
Answer:
$12
Step-by-step explanation:
;)
Answer:
12
Step-by-step explanation:
28 divided by 7 = 4
4 x 3 = 12
What is the product of
4
7
and
1
6
? Use the grid to help you.
A grid divided vertically into sevenths and horizontally into sixths. Each side length is one foot.
Answer:
C and 2/21
Step-by-step explanation:
i did it
We can write the product of the given fractions as -
{4/7 x 1/6} = 2/21
What is fraction?A fraction is expressed in the form of {x/y}, where {y ≠ 0}.
Given is to find the product of the fractions -
4/7 and 1/6
We can write the product of the fractions {4/7} and {1/6} as -
{x] = 4/7 x 1/6
{x} = 2/7 x 1/3
{x} = 2/21
Therefore, we can write the product of the given fractions as -
{4/7 x 1/6} = 2/21.
To solve more questions on fractions, visit the link below-
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What is the distance between (4, 3) and (9, 15) on the coordinate plane? Select two that apply.
V169 units
V144 units
5 units
13 units
12 units
Answer:
169 units
13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x - h)² + (y - k)²
The coordinate of the points is given below.
(4, 3) and (9, 15)
Then the distance between the two points (4, 3) and (9, 15) will be given as,
D² = (9 - 4)² + (15 - 3)²
D² = 5² + 12²
D² = 25 + 144
D² = 169
D = 13 units
The distance between the two points (4, 3) and (9, 15) will be 13 units. Then the correct options are A and D.
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What is the minimum depth of the water in the pool?
1 foot
2 feet
3 feet
4 feet
Answer:
1 foot
Step-by-step explanation:
The minimum value is the lowest y-value on the graph. The graph shows that at 6 hours there is only 1 foot of water in the pool. In this case, the y-values never go below 1, this must mean that 1 is the minimum.
HELP ME I NEED THE ANSWER TO THIS!!
Answer:
I think it is D
Step-by-step explanation:
state whether the two triangles are similar, and if so, by which theorem? justify your answer
Answer:
it's a congruent triangle and the scale factor is 2
Step-by-step explanation:
i don't know what you mean by theorems if you mean circle theorems well that obviously is not a circle so it's not one.
I need to know what are the six trigonometric functions of angle theta
Answer:
Sine, cosine, tangent, cosecant, secant and cotangent.
You have 4.5 pounds of egg whites. You need 8 oz to make one serving of consomme. How many can you
Question 4 Not Yet Answered Points Out Of 1.00 You Have 4.5 Pounds Of Egg Whites. You Need 8 Oz To Make One Serving Of Consomme. How Many Servings Can You Make? Answer: Swer
swer
Brody invested $2,800 in an account paying an interest rate of 2.7% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $3,560?
answer-
t≈9
step-by-step: i skipped the question and got the right answer
The amount will become $3560 after the tenure of 9 years.
What is compound interest?Compound interest is the interest on savings computed on both the initial principal and the interest earned over time. In theory, continuously compounded interest means that an account balance is constantly earning interest and refeeding that interest back into the balance so that it, too, earns interest.
Given that Brody invested $2,800 in an account paying an interest rate of 2.7% compounded continuously.
The time period will be calculated as,
[tex]P(t) = P_oe^{rt}\\\\3560 = 2800e^{0.027\times t}[/tex]
Take log on both sides and solve,
ln(3560 / 2800) = 0.027x t(ln(e)
t = ln(1.27) / 0.027
t = 9 years
Therefore, the amount will become $3560 after the tenure of 9 years.
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What is the volume of the rectangular prism?
Answer:
15 0/0
Step-by-step explanation:
15 cubes on each side which totals to 30 cubes. To get the volume 15 cm multiply 30 x 1/2 = 15 the amount of volume
Answer:
15[tex]cm^{3}[/tex]
Step-by-step explanation:
ok...each of those boxes are 1/2 cm
What is the easiest thing to do is to count the front of the rectangular prism and there are 15 cubes. Now double it, and you get 30 cubes, now since each cube is 1/2 or 0.5, we get can do 0.5 x 30 and we get 15
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Jackson bought snacks for his team's practice. He bought a bag of oranges for $1.61 and a 6-pack of juice bottles. The total cost before tax was $13.19. How much was each bottle of juice?
Answer:
$1.93
Step-by-step explanation:
From the total (13.19), subtract the cost of the oranges (1.61). That would equal 11.58, which is the cost of the 6-pack of juice bottles. Then, divide 11.58 by 6 to determine the cost of each bottle.
Each bottle = $1.93
Hope this helps!!
Line m is intersected by line t , as shown in the diagram below. Based on the diagram, which of the following equations must be true? A m∠1+m∠2=180°
B m∠1+m∠3=180°
C m∠2+m∠3=90°
D m∠2+m∠4=90°
the answer is quite simple on this one. angles 1 and 3 are equal, and angles 2 and 4 are equal.
if you thi k about moving line t then you can see 2 and 4 will not add to 90°. angles 2 and 3 do not add to 90° because their angles added make a straight line (180°). answer B is almost true but not quite since the angles are not perpendicular to each other (1 and 3).
therefore, answer is A because of said explanation about answer B in previous paragraph. they make a straight line (180°). just basic geometry.
Here is a list of numbers:
20 8. 6. 11.3. 1572072.73
State the median
Answer:
20
Step-by-step explanation:
your middle median is 20 in ascending order it is also 20 *im in year 8 my explenation is bad*
Find the circumference and the area plzzz
Answer:
3.
A) 43.96 cm (Circumference)
B) 153.86 square cm (Area)
4.
A) 62.8 ft (Circumference)
B) 314 square ft (Area)
Step-by-step explanation:
3. Radius 7 cm
7*2=14 (Find the diameter)
14*3.14= 43.96 cm (Circumference)
7*7=49 (Find the square of radius)
49*3.14 = 153.86 square cm (Area)
4. Diameter: 20 ft
20*3.14 = 62.8 ft (Circumference)
20/2=10
10*10=100
100*3.14= 314 square ft (Area)
6700 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 24 years, to the nearest cent
Answer:
Step-by-step explanation:
The answer depends on whether the interest is simple or compound.
For simple interest:
A = 670(1 + 0.08)(24)
For compound interest
A = 670(1 + 0.08)24
Answer:
???????
Step-by-step explanation:
What is the slope of the line that passes through the points (-2, 2), and (-4,-2)?
A. -1/2
B. 2
C. -2
D. 1/2
Answer:
Option B
Step-by-step explanation:
Use the slope formula.
[tex]\frac{rise}{run}=\frac{-2-2}{-4+2}=\frac{-4}{-2}=\boxed{2}[/tex]
The answer sohuld be B.
Hope this helps.
what is 233 x 234 ???
Answer:
the answer is 54522
Step-by-step explanation:
hope it helps
Answer:
it is 54522 hope it helps
Would the hypotenuse of a right triangle with a vertical length of 6 and a horizontal length of 10 have the same slope as the hypotenuse of the blue and red
triangles shown in the graph?
Determine the value of x in the figure
A) x = 8
B) x = -4
C) x = 4
D) x = 4/3
Answer:
Step-by-step explanation:
X=8
"What is the difference between a ratio and its related rate and unit rate?"
Answer:
Step-by-step explanation:
The ratio is the relationship of two numbers. ... A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
What is a ratio?It shows how many times one value is contained in another value.
The ratio shows how many times one value is contained in another value.
Example:
There are 3 apples and 2 oranges in a basket.
The ratio of apples to oranges is 3:2 or 3/2.
We have,
Ratio and unit rate
Ratio and unit rate both are written in the form of a numerator and a denominator.
The ratio is a measure of two units contained in a whole amount.
Example: 3 apples and 3 mangoes are contained in a bag
The ratio of apple and mango is 3:3 = 1:1
The unit rate is also a measure between two units but the denominator should always be one.
Example: A man can run 10 miles in 10 hours
In one hour 1 mile.
The unit ratio is 10miles per hour.
Thus,
The difference between ratio and unit rate is that both of them are measures of two units and are written in the form of a numerator and a denominator but the unit rate denominator must be one.
Learn more about ratios here:
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Need help on this please
Answer:
157.08m²
Step-by-step explanation:
Since the area of a circle is A=πr²
The radius is 10, so
A=π10²
A=314.16 (rounded to nearest hundredth)
Half of that is 157.08.