The length of a rectangle is 4 inches less than twice its width. If the area of the rectangle is 70 square inches, what are its demensions
Find the x-intercepts for the parabola defined by the equation below. y=2x^2-6x+4
WILL GIVE BRAINLIEST!!!! PLZ HELPPP!!!Which equation is the BEST fit for the data in the graph?
A) y = (1/4)x
B) y = (-1/4)x
C) y = (1/4)x-1
D) y = (1/4)x - 1
Which equation represents a parabola with a focus at (0,-2) and a directrix of y=6?
Hey there!!
First, let's learn the parabola formula when the focus and the directrix is given.
Formula :
[tex]y = \frac{( x - a ) ^{2} }{ 2 ( b - k ) } + \frac{( b + k ) }{2}[/tex]
We have ,
Focus : ( 0 , -2 )
Hence, a = 0 and b = -2
And k = 6
Now, we will just have to plug in the values and find out the equation.
[tex]y = \frac{( x - 0 )^{2} }{2 ( - 2 - 6 )} + \frac{( - 2 + 6 ) }{2}[/tex]
[tex]y = \frac{x^{2} }{-16}+ 2[/tex]
The final equation would be :
[tex]y = \frac{-x^{2} }{16} + 2[/tex]
Hope my answer helps!!
Solve a(x - b) - 2k = l for k
Which expression is equivalent to mc003-1.jpg?
Answer:
Option A is correct
The expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]
Step-by-step explanation:
Using the formula:
[tex](f \cdot g)(x) = f(x) \cdot g(x)[/tex] .....[1]
Given the expression:
[tex](f\cdot g)(5)[/tex]
Substitute the value of x = 5 in [1]
we get;
[tex](f \cdot g)(5) = f(5) \cdot g(5)[/tex]
Therefore, the expression which is equivalent to [tex](f\cdot g)(5)[/tex] is [tex] f(5) \cdot g(5)[/tex]
What is the length of the unknown side of the right triangle? (1 point) A right triangle with hypotenuse x and legs 5 and 12 13 17 25 60
Easy math problem, please help.
O is the center of the circle. Assume that lines appear to be tangent are tangent. What is the value of x?
A. 34
B. 36.5
C. 73
D. 107
Answer:
Option C. 73
Step-by-step explanation:
In the given figure Δ OPQ is the right angle triangle because radius is always perpendicular to the tangent drawn on the circle from an external point.
Here OQ is radius and PO is tangent.
So ∠OQP = 90°
Now sum of all angles of a triangle is 180°
Therefore, ∠OPQ + ∠OQP + ∠POQ = 180°
17° + 90° + x° = 180°
107 + x = 180
x = 180 - 107
x = 73°
Option C. 73
If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Pete is purchasing an mp3 player for 199.90 he gives the sales clerk 2 fifty dollar bills, 4 twenty dollar bills and 4 five dollar bills how much should he receive back
Carlos swam the perimeter of a rectangular pool seven times. If the length of the pool is 21 ft and the width of the pool is 9 ft, how many feet did Carlos swim?
The total length did Carlos swim is 420 feet.
To find the perimeter.
What is rectangle?A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.
Given that:
Let the perimeter of rectangular swimming pool be x metres.
Then, its length =21 feet.
The width of the pool = 9 feet
The Perimeter of a rectangle =2(Length+Breadth)
According to the given condition, we have
Perimeter of a rectangle =2(Length+Breadth)
Perimeter of a rectangle=2(21+9)
Perimeter of a rectangle=2*30
Perimeter of a rectangle=60 feet
But, carlos swam the perimeter of a rectangular pool seven times.
Old perimeter=7*60=420 feet
Thus ,the total length did Carlos swim is 420 feet.
Learn more about rectangle here:
https://brainly.com/question/10064327
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Which of the following terms correctly describe the figure given below? Check all that apply.
I think its Polyhedron, pyramid, solid.
Answer:
Hence, the correct options are Polyhedron, Pyramid and Solid
Step-by-step explanation:
According to the options, we have,
1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.
So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.
Thus, it is a polyhedron.
2. Polygon is a closed two dimensional figure bounded by straight lines.
But, the given figure is not a 2-D figure and so is not a polygon.
3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.
Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.
So, the given figure is not a prism.
4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.
As, we can see that the given figure have polygonal base and triangular sides converging to a point.
So, the given figure is a pyramid.
5. Cube is a 3-D figure with all the six faces as squares.
But, the given figure does not have square faces and so is not a cube.
6. Solid is a figure having three dimensions.
Since, the given figure does have three dimensions.
So, it is a solid.
Hence, the correct options are Polyhedron, Pyramid and Solid.What is the surface area of a sphere with the given dimension? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 5cm.
Melissa pulls the pep club to see which sport they like. She finds that 45 students like soccer only, 35 students like football only, and 15 students like soccer and football. There is no one who doesn't like at least one of the two sports mentioned. Which venn diagram would be an appropriate model for the data melissa collected
The length of a rectangle is 7 cm less than twice its width. if the area of the rectangle is 39 cm2, find the dimensions of the rectangle.
Give an exact answer in simplified form. 5y+3 > -7y + 13 5y+3>−7y+13 (see pic
Th answer to the inequality will be evaluated as follows:
5y+3>-7y+3
putting like terms together we obtain:
5y+7y>3-3
2y>0
dividing both sides by 2 we get:
(2y)/2>0/2
thus
y>0
for the function d(x)=7x^3 - 6x^2 what is the vaule of d(4)
URGENT PLEASE HELP
Suppose 20% of all widgets produced at a factory are defective.
A simulation is used to model widgets randomly selected and then recorded as defective or working.
Which simulation best models the scenario?
Place 50 equally sized pieces of paper in a hat. Of the 50, 5 read “defective” and the rest read “working”.
Place 25 equally sized pieces of paper in a hat. Of the 25, 5 read “defective” and the rest read “working”.
Place 20 equally sized pieces of paper in a hat. Of the 20, 5 read “defective” and the rest read “working”.
Place 100 equally sized pieces of paper in a hat. Of the 100, 5 read “defective” and the rest read “working”.
Write an equation to match each graph:
Write an equation to match each graph.
Solution:
The first graph is V shaped graph centered at origin, (0,0) and the graph is not shifted or translated. So, the equation of first graph is,
y=|x|
The second graph is V shaped graph centered at (1,0) and y=|x| is horizontally shifted right by 1 unit. So, the equation of second graph is,
y=|x-1|
The third graph is also V shaped but, it is inverted V graph centered at (0,1) . As, the graph is inverted V So, the graph must have y=-|x|. But, as the center is (0,1). So, the graph is shifted up by 1 unit. So, the equation of the third graph is,
y=-|x|+1
The fourth graph is shifted V graph, whose center is (1,-1). So, y=|x| is shifted right by 1 unit and down by 1 unit. So, the equation of fourth graph is,
y=|x-1|-1
The center of fifth graph is (-1,0), So, y=|x| graph is shifted left by 1 unit. So, the equation of fifth graph is
y=|x+1|
The equation of a parabola is given. y=−16x2+7x−80 What is the equation of the directrix of the parabola?
(08.05 HC) The work of a student to solve a set of equations is shown: Equation A: y = 15 − 2z Equation B: 3y = 3 − 4z Step 1: −3(y) = −3(15 − 2z) [Equation A is multiplied by −3.] 3y = 3 − 4z [Equation B] Step 2: −3y = 15 − 2z [Equation A in Step 1 is simplified.] 3y = 3 − 4z [Equation B] Step 3: 0 = 18 − 6z [Equations in Step 2 are added.] Step 4: 6z = 18 Step 5: z = 3 In which step did the student first make an error?
Answer:
STEP 2
Step-by-step explanation:Simplifying
-3(y) = -3(15 -2z)
should yield
-3y = -45 +6z
Two large numbers of the Fibonacci sequence are F61 = 2,504,730,781,961 and F62 = 4,052,739,537,881. If these two numbers are added together, what number results?
A. F123
B. F60
C. F63
D. F64 - 1
What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
answer in terms of pie
Greg wants to move out of his dormitory and into an apartment near his college. His parents agreed, on the condition that the rent is no more than 25% of the cost of dorm living. To get an idea of rent amounts for one-bedroom apartments, Greg looks at listings in a local newspaper and on an Internet site.
Which answer best describes the sample and population?
A. Sample: listings in a local newspaper and on an Internet site
Population: all available apartments near the college
B. Sample: all available apartments near the college
Population: all available dormitories near the college
C. Sample: all available dormitories near the college
Population: all available apartments near the college
D. Sample: all available apartments near the college
Population: listings in a local newspaper and on an Internet site
What is the measure of BAC
50
80
100
130
What is the distance between point (3, 2) and line y = 1/4x-9
. Stephen deposited $1800 into a savings account for which interest is compounded weekly at a rate of 3.2%. How much interest will he earn after 10 years?
58.81
678.59
2478.59
im just putting this up to see if my answer was write. i did the math and unless i messed up writing i got the second answer
for the function f(x)= -(x + 1)^2 + 4 identify the vertex, domain, and range
Answer:
Vertex = (-1, 4)
Domain = All real numbers i.e. R
Range = (-∞, 4)
Step-by-step explanation:
The vertex of the quadratic equation:
f(x) = a(x - h)² + k
Here, Vertex = (h,k)
Thus, Vertex = (-1, 4)
Domain = All real numbers i.e. R
Range = All real numbers less than or equal to 4 i.e. (-∞, 4) or f = ≤ 4.
Further, the possible values of x are called Domain.
And, the possible output we get as y is called Range.
2/3 - 4x + 7/2 = -9x + 5/6
please help!!!
Write an expression for the volume of a cylinder with a height 7in. greater than the radius.