The correct answer is option D which is the second coordinate of the vertex of the quadratic function that represents the maximum height of the baseball.
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
The second coordinate of the vertex of the quadratic function represents the maximum height of the ball.
The height of a baseball hit from a bat is modeled by a quadratic function of time, h(t)
General form of h(t) will be -16x² + v(t) + h
Where v represents initial velocity and h represents the initial height
h(t) represents the height of the baseball
h(t) is negative so the height reaches the maximum
vertex (h,k) represents maximum height (k) when time t=h
So the second coordinate of the vertex of the quadratic function represents the maximum height of the ball.
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Answer: D
Step-by-step explanation
DL is a perpendicular bisector of chord GA. Identify the diameter.
Find the value of x.
x = [?]
y is inversely proportional to √x
y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5
Answer:
k=36; y=1.44; x=8
Step-by-step explanation:
a) y= k/square root of x
9=k/square root of 16
9=k/4
9×4= (k/4)×4
therefore k=36
b) Using k...
y=36/25
therefore y=1.44
c) 4.5=36/x
4.5×(x)= (36/x)×(x)
4.5x=36
therefore x=8
Pls answer I will mark brainliest
Step-by-step explanation:
I hope this will help you
Answer:
198
Step-by-step explanation:
Graph x > -1 on the number line
Number Line:
Closed Circles are used when signs are "≤" or "≥"
Open Circles are used when signs are "<" or ">"
The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"
Graph should look like this:
Find the 60th term of the arithmetic sequence -27, -24, -21, ...−27,−24,−21,...
Answer:
150
Step-by-step explanation:
The common difference, d, is +3 add +3 to find the next term.
to find the second term add +3 to the first term
to find the third term add 2 * +3
to find the 60th term add 59 * +3 to the first term
-27 + (59*3) = 150
A pre-school has 12 four-year old children and 11 three-year old children. What is the ratio of four-year old
children to three-year old children?
Answer:
12:11
Step-by-step explanation
Answer:
I think it would be 12:11
Step-by-step explanation:
This is because you can't down size the 11
4.5 (−6.2)??????
explanation: i'm slow
Answer:
0
Step-by-step explanation:
simplfy: 4.5(6.2) = 0
Multiply 4.5 * 6.2
27.9 = 0
and solve
27.9 = 0
I hope this helps ^^
Answer:
= -27.9
If you mean multiplication, [tex]4.5\times(-6.2)=-27.9[/tex].
The product is negative because the (-)6.2 is negative.
Step-by-step explanation:
Question 2: Find the surface area of each of these spheres.
(a)
7cm
Give each answer in terms of n (you may not use a calculator)
(b)
(c)
8cm
1.1m
Answer:
a=263.76cm3
b=301.44cm3
c=41.52m3
If x= 7 - 4√3 then find the value of (a) (x+1/x) rais to 2 b) x rais 2+1/x rais to 2
The equation x = 7 - 4√3 is a radical expression, and the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
How to solve the expressions?The equation is given as:
x = 7 - 4√3
So, we have:
[tex](x + \frac 1x)^2 = (7 - 4\sqrt 3 + \frac{1}{7 - 4\sqrt 3})^2[/tex]
Take the LCM
[tex](x + \frac 1x)^2 = (\frac{49 -56\sqrt3 + 48}{7 - 4\sqrt 3})^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (\frac{97 -56\sqrt3 }{7 - 4\sqrt 3})^2[/tex]
Rationalize
[tex](x + \frac 1x)^2 = (\frac{(97 -56\sqrt3)(7 - 4\sqrt 3) }{49 -48})^2[/tex]
Evaluate the difference
[tex](x + \frac 1x)^2 = ((97 -56\sqrt3)(7 - 4\sqrt 3))^2[/tex]
Expand
[tex](x + \frac 1x)^2 = (679 -388\sqrt 3 -392\sqrt 3 + 672)^2[/tex]
Evaluate the like terms
[tex](x + \frac 1x)^2 = (1351 -780\sqrt 3 )^2[/tex]
Expand
[tex](x + \frac 1x)^2 = 1825201 +1825200 -2107560\sqrt 3[/tex]
[tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
Hence, the value of the radical expression is [tex](x + \frac 1x)^2 = 3650401 -2107560\sqrt 3[/tex]
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Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He sets the expressions equal to y and graphs the equations. What is the greasiest possible number of intersections for these graphs?
The greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
What is a quadratic equation ?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
As we know the standard form of a quadratic equation is:
[tex]\rm Y = \rm ax^2+bx+c[/tex]
And a linear equation can be written as:
y = mx + d
Equating both the expression:
ax² + bx + c = mx + d
ax² + (b-m)x + c - d = 0
The above equation is an also quadratic equation, and we know that the quadratic equation have maximum two roots.
Thus, the greasiest possible number of intersections for these graphs is 2 if the Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression.
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The cost of 10 days at healthy gym
Help. I will give brainliest if correct.
A. -4/3
B. -3/4
C. 10/17
D. 17/10
The correct option is option B.
The common difference between given data is -3/4.
What is Sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Here, given points;
x₁ = 1 , x₂ = 2 and y₁ = -3.75 , y₂ = -4.5
Now,
d = (y₂ - y₁)/(x₂-x₁)
d = (-4.5 - (-3.75))/(2 - 1)
d = -0.75 / 1
d = - 75/100
d = -3/4
Thus, The correct option is option B. The common difference between given data is -3/4.
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factorise fully 8x2-4x
Answer:
4x(2x-1)
Step-by-step explanation:
Using GCF, you can be able to take out a factor of 4x from 8x^2 and 4x.
Please help me!! High school algebra 2 math. Big Ideas Math.
Step-by-step explanation:
We know that,
[tex]\boxed{\sf \sin θ = \dfrac{Opposite \: side}{Hypotenuse}}[/tex]
[tex]\longmapsto \sf \sin 30^{\circ} = \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}= \dfrac{x}{12}[/tex]
[tex]\longmapsto \sf \dfrac{1}{2}×12= \dfrac{x}{12}×12[/tex]
[tex]\longmapsto \sf x = 6[/tex]
Answer:
x = 6
Step-by-step explanation:
Hello!
The missing angle is 60°, and is found by subtracting 90° and 30° from 180°.
Using basic triangle theorems of a 30° - 60° - 90° triangle, we know that the leg opposite to 30°, x, is one-half of the hypotenuse.
So:x = 0.5(12)x = 6.The value of x is 6.
The leg opposite to 60° is √3 times the leg opposite to 30°.
The roof of a clock tower is a pentagonal pyramid. Each side of the base is 7 ft long. The slant height is 9 ft. What is the area of the roof?
Answer:
Area = 63ft
Step-by-step explanation:
7*9=63
multiply the base and height
157.5 square feet is the area of the roof.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that the roof of a clock tower is a pentagonal pyramid.
a pentagonal pyramid is a pyramid with a pentagonal base upon which are erected five triangular faces that meet at a point
Each side of the base is 7 ft long.
The slant height is 9 ft.
We need to find the area of the roof.
Area=1/2×7×9×5
=315/2
=157.5
Hence, 157.5 square feet is the area of the roof.
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Translate the shape A four squares right and two squares down.
please don't delete this question iltae668.
What are the coordinates of the vertices of the image?
What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4
PHOTO ATTACHED, please help ASAP, will give brainliest
Find the value of x that will make A||B.
5x + 9
A
B
Entor
6x-2
X =
= [?]
Answer: x=11
Step-by-step explanation:
Set the two equations equal to each other
5x+9 = 6x-2
9=x-2
11=x
x=11
X will need to be 11 in order to make the two equations equal to each other
$75 before tax. Disc: 10% Tax: 7%, Tip: 20% what's the total PLEASE help
Answer:
total: $86.68
Step-by-step explanation:
The value of each change is found by multiplying the base amount by the percentage change. The result is rounded to the nearest cent. Here, we're applying 3 changes. In order to make sure they're rounded properly, we need to apply them in order
__
discountThe discount amount is ...
discount = bill × 10% = $75.00 × 0.10 = $7.50
The discounted amount is ...
bill - discount = $75.00 -7.50 = $67.50
__
taxThe tax amount is ...
tax = discounted bill × tax rate = $67.50 × 0.07 = $4.725 ≈ $4.73
The bill with tax added is ...
discounted bill + tax = $67.50 +4.73 = $72.23
__
tipThe tip is apparently added to the amount after tax, so the amount of the tip is ...
tip = taxed bill × 0.20 = $72.23 × 0.20 = $14.446 ≈ $14.45
The bill with tax and tip added is ...
total bill = $72.23 +14.45 = $86.68
_____
Additional comment
At each stage, the amount can be found by using the multiplying factor (1+p), where p is the percentage change. All three factors applied gives a result of ...
75×(1-0.10)(1+0.07)(1+0.20) = 75×0.9×1.07×1.2 = 86.67
You will note this differs by a penny from the amount calculated above. That is a consequence of rounding up both the tax and the tip.
Bret works for a printing company-each document takes 8 sheets of paper-he has 500 sheets-how many documents can he print
Answer:
He can print 62 documents
Step-by-step explanation:
500/8=62.5
He can print only 62 documents because he cannot print half a document.
Hope this helps!
If not, I am sorry.
which of the following represents the diameter of the circle below?
Answer:
[tex]\overline{TH}[/tex]
Step-by-step explanation:
A - This is the radius of the circle (half the diameter, we are not looking for this)B - This is the center of the circle (a point)C - This is a point on the circle (also a point)D - This is the diameter of the circleThe diameter of a circle is a line that goes from one side to the other in a circle. It is the longest straight line that can be drawn in a circle. It also goes through the center of a circle.
That is the answer
- Kan Academy Advance
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time?
Question 8 of 25
The amount of water dispensed by a water dispenser is normally distributed,
with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. In
which range will the amount of water dispensed be found 95% of the time
Answer:
s
Please help me I need it now please please please
Answer:
1st triangle: missing angle is 100
2nd triangle: missing angles are 50
3rd triangle: missing angle is 90, this is also a right triangle. The hypotenuse on this is the side length that reaches from angle 70 to 20. the other sides are legs
Step-by-step explanation:
Polygon ABCDE is reflected to produce polygon. A B C D E. what is the equation for the line of reflection
What is the slope of the line graphed below (3,3) (0,-6)
m=
О А. -
О в. з
0 с. -3
OD. 3
-5
O
-5
(0, -6)
(3, 3)
5
The slope of the line passing through the points (3, 3) and (0, -6) is 3.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the slope of line passing through points (3, 3) and (0, -6)
Plug in the values in formula.
m=-6-3/0-3
m=-9/-3
m=3
Hence, the slope of the line passing through the points (3, 3) and (0, -6) is 3.
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Choose the graph below that matches the equation: =2/3 + 5
It is TRUE, so shade on the SAME side as (0,0)
Find the radius and circumference of a circle with an area of 28.26.
Answer:
Radius = 3
Circumference = 18.84
Step-by-step explanation:
A = πr²
28.26 = 3.14r²
√9 = √r²
3 = r
C = 2πr
C = (2)(3.14)(3)
C = 18.84
Find the measure of the three missing angles in the parallelogram below.
Answer:
x= 67, y= 113 , z= 67........... ...........
Simplify this expression.
(√2+√3)(√5-√7)
O √5+√=2
O √10+√15-√14-√21
02√5-2√7
O 2√5 +3√5-2√7-3√7
Answer:
√10+√15-√14-√21
Explanation:
(√2 * √5) = √10
(√2 * -√7) = -√14
(√3 * √5) = √15
(√3 * -√7) = -√21
Put it all together: √10 + √15 - √14 - √21
Hope this helped :)
The simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (√2+√3)(√5-√7)
√2(√5-√7) + √3(√5-√7)
We have to apply distributive property
√2.√5 - √2.√7 + √3.√5 -√3.√7
√2×5 -√2×7 +√3×5 -√3×7
√10-√14+√15-√21
Hence, the simplified form of the expression (√2+√3)(√5-√7) is √10-√14+√15-√21
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