Hi Student!
This question is pretty straight-forward because it is asking for us to solve to equation using square roots. We don't need to find any important information as this problem is pretty simple. We just need to use some algebra to move numbers around and we will get our answer.
Add 81 to both sides
[tex]x^2 - 81 = 0[/tex][tex]x^2 - 81 + 81 = 0 + 81[/tex][tex]x^2 = 81[/tex]Square root both sides
[tex]\sqrt{x^2} = \sqrt{81}[/tex][tex]x = \pm9[/tex]Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9. If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.
Which is the slope-intercept form of the equation of the line with a slope
of 2 and a y-intercept of 5?
Oy-5=2(x-0)
Oy=2x-2
O y = 2x+5
Oy-0=2(x - 5)
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.
Answer:
B
Step-by-step explanation:
given f(x) then f(x ± a) is a horizontal translation of f(x)
• if + a , then a shift to the left of a units
• if - a then a shift to the right of a units
h(x) = g(x - 3)
then h is the graph of g shifted right 3 units
there are 11 clowns and 3 elephants. how many is all together?
Answer:
14
Step-by-step explanation:
Evaluate the expression when x = 4 and y = 5.
3x2 + 4y0 • x –1
Answer:
60
Step-by-step explanation:
The evaluated expression of 3x² + 4y⁰(x - 1) when x = 4 and y = 5 is 60.
What is Substitution?
Substitution simply means to put in place another. Therefore, let's substitute the value of x and y in the mathematical expression.
3x² + 4y⁰(x - 1)
Therefore,
y⁰ = 1
3x² + 4y⁰(x - 1)
3x² + 4y⁰(x - 1)
3x² + 4(x - 1)
3x² + 4x - 4
Therefore, when x = 4 and y = 5
3(4)² + 4(4) - 4
48 + 16 - 4 = 60
HOPE THIS HELPED!
Answer:
B
Step-by-step explanation:
Stuck. Please help me
If the width and length of the rectangle are 3 cm and 7 cm. Then the perimeter of the rectangle is 10 cm.
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
Let L be the length of the rectangle and W be the width of the rectangle.
Then we have
4W + 3L = 33 ...1
2W + L = 13 ...2
Then by the equations 1 and 2, we have
W = 3 and L = 7
Then the perimeter of the rectangle will be
Perimeter = W + L
Perimeter = 3 + 7
Perimeter = 10 cm
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a random survey. of seventh and eighth graders was conducted to determine the number of each student has the results are shown statement about populations is not supported by information in the graph
Answer:
I believe the answer is 8th graders.
Step-by-step explanation:
An arc subtends a central angle measuring \dfrac{3\pi}{5}
5
3π
start fraction, 3, pi, divided by, 5, end fraction radians.
What fraction of the circumference is this arc?
Answer:
3/10 of the circumference
Step-by-step explanation:
Take the fraction between the central angle and the total degree measure of the circle, which is 2π.
(3π/5)/2π3π/10π3/10 of the circumferenceThe bumper car ride at the state fair has 3 red cars, 4 green cars, and 5 blue cars. Michelle is first in line for the ride and is assigned a car at random. Garth is next in line and is randomly assigned a car. What is the probability that both Michelle and Garth will drive a red bumper car? Express your answer as a percent. If necessary, round your answer to the nearest tenth.
Answer:
4.5 %
Step-by-step explanation:
Answer:
4.5%
Explanation:
1) red = 3
2) green = 4
3) blue = 5
Total bumper cars: (3 + 4 + 5) = 12 cars
Michelle gets red car:
3/12 = 1/4Remaining red cars: 3 - 1 = 2
Remaining total cars: 12 - 1 = 11
Garth get red car:
2/11Probability they both get red cars:
1/4 × 2/11 = 1/22 ≈ 4.5%Need to know this asap number 6 and 7
The equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex] and the points that do not represent a function is (c)
The equation that does not assign one value to yTo do this, we simply make y the subject of formula.
So, we have:
[tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
Simplify
[tex]\frac 5y = 7x + \frac{5}{y}[/tex]
Subtract 5/y from both sides
[tex]0 = 7x[/tex]
Rewrite as:
[tex]x = 0[/tex]
This means that the value of x is 0 irrespective of the value of y
Hence, the equation that does not assign one value to y is [tex]\frac 5y = 7x + \frac{10}{2y}[/tex]
The points that do not represent a functionFor a set of point to represent a function, the points must represent a one-to-one or many-to-one relationship.
From the list of options, option (3) represents a one-to-many relationship.
This is so because one x value has 3 y values
Hence, the points that do not represent a function is (c)
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HELP PLEAZE
ILL GIVE BRAINLIEST
Answer:
153.86 in²
Step-by-step explanation:
The area of a circle is:
A = π r²
Radius is just half of the diameter so r = 7.
Substitute 3.14 for π.
Restate the equation:
A = 3.14 x 7² = 3.14 x 49
A = 153.86
the points at which a quadratic equation intersects the x-axis
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
Given :
The points at which a quadratic equation intersects the x-axis
The points at which the any quadratic equation crosses or touches the x axis are called as x intercepts.
At x intercepts the value of y is 0.
So , the points at which a quadratic equation intersects the x-axis is also called as zeros or roots of the quadratic equation .
The points at which a quadratic equation intersects the x-axis are referred to as x intercepts or zeros or roots of quadratic equation
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Triangle ABC has vertices A(-4, 3), B(2, 3) , C(-5, 1). A dilation with a scale factor of 5 and center at the orgin is appiled to this triangle.
What are the coordinates of C' in the dilated image? Enter your answer by filling in the boxes
Answer:
C' (- 25, 5 )
Step-by-step explanation:
since the dilatation is centred at the origin, then multiply each of the coordinates by the scale factor 5
C (- 5, 1 ) → C' (5 × - 5, 5 × 1 ) → C' (- 25, 5 )
i just need the edges, correct answer gets brainliest
Answer:
28
Step-by-step explanation:
counting all the lines pretty much
Answer:
its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)
PLEASE HELPPP THANK U SO MUCH
Answer:
396 = 341q-333
Step-by-step explanation:
396 is (396 =)
the quantity q times 341 (341q)
333 subtracted from (-333)
Answer:
341q - 333 = 396
Step-by-step explanation:
multiply q and 341, you get 341q
a number that is subtracted from another number is the same as saying 2 is subtracted from 5 gives you 3, which can be laid out as 5 - 2 = 3
therefore your equation will be 341q - 333 = 396
extra information :
341q = 396 + 333
341q = 729
q = 729/341
q = 2.137829912
SOMEONE PLEASE HELP ME I WILL LOVE YOU FORVER
Answer:
A. OEO, EOE, EEE, EEO, OOE, OEE
A (probability). [tex]\frac{3}{4}[/tex]
B. OEO, EOE
B (probability). [tex]\frac{1}{4}[/tex]
C. EOE, EEE, OOE, OEE
C (probability). [tex]\frac{1}{2}[/tex]
hope this helps:)
Answer:
A. OEO, EOE, EEE, EEO, ------- (probability). 3/4
B. OEO, EOE ------(probability). 1/4
C- EOE --------------(probability). 1/4 aswell
Step-by-step explanation:
Sorry it took so long
I hope this helps C:
660 miles on 20 gallons or 850 miles on 25 gallons which is greater
Which of the following BEST describes how to use the addition property of equality to isolate the variable y
below?
y-12 = 14
A. add 12 to the left side of the equation only
B. subtract 12 from the left side of the equation only
C. add 12 to both sides of the equation
D. subtract 12 from both sides of the equation
Please select the best answer from the choices provided
Ο Α
ОВ
С
Answer: C) add 12 to both sides
Reason:
We add 12 to the left side to undo the -12, which will get y by itself.
We must do the same thing to both sides to keep things balanced.
CAN SOMEONE HELP ME PLS?
Answer:
x = 8
[tex]\overline{AC}[/tex] = 30
[tex]\overline{CD}[/tex] = 10
Step-by-step explanation:
Triangle [tex]\triangle ABC[/tex] and triangle [tex]\triangle DEC[/tex] are similar because they have 2 congruent angles. We can find the scale factor between them by comparing the length of [tex]\overline{BC}[/tex] and [tex]\overline{EC}[/tex] in a fraction, resulting in us finding the scale is 3:1 from [tex]\triangle ABC[/tex] to [tex]\triangle DEC[/tex].
Now we can solve for x using a proportion.
[tex]\frac{3}{1} = \frac{x+22}{x+2}[/tex] | Cross multiply
3x+6 = x+22 | Subtract x from both sides
2x+6 = 22 | Subtract 6 from both sides
2x = 16 | Divide both sides by 2
x = 8
Now we can solve for [tex]\overline{AC}[/tex] and [tex]\overline{CD}[/tex] by substitution.
[tex]\overline{AC}[/tex] = x + 22 = 8 + 22 = 30
[tex]\overline{CD}[/tex] = x + 2 = 8 + 2 = 10
These are your answers
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A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97m long and 76m wide. Find the area of the training field. Use the value 3.14 for pie , and do not round your answer. Be sure to include the correct unit in your answer.
If the radius of the semi-circle is 38 m. Then the area of the training field will be 11,908.459 square meters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 97 m long and 76 m wide.
Then the radius of the semi-circle will be
2r = 76
r = 38 m
Then the area of the training field will be
Area = area of rectangle + 2 x area of semi-circle
Area = 97 x 76 + 2 x (1/2) x π x 38²
Area = 7372 + 4536.459
Area = 11908.459 square m
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A line contains the following points left to right: r, t, u, s. the space between r and t is 12 units. the space between r and s is 24 units. if tu = 6 units, what must be true? su ut = rt rt tu = rs rs su = ru tu us = rs
Given thet SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE. Option A is correct
Measure of line segmentsA line is defined as the distance between two points
From the given line, RT = TU = 12 unitsSince the point T bisects RT and TU = 6 units, hence the point U bisects TS.
The sum of the segment SU and UT will be RT
SU + UT = RTGiven that SU = UT = 6 units, hence 6 + 6 = 12 showing that the expression SU + UT = RT is TRUE
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someone help this is so confusing
I mean im prob in a lower grade then you so i'd say b?
in fgh, m f=60 degrees g= 68 degrees. which side of fgh is the shortest
Answer:
h=52 and h is the shortest
Step-by-step explanation:
180-f-g=h step 1. -f from 180
180-60=120 step 2. -g from 120
120-68= 52
h=52 degrees
Solve 2x2 + 3x − 5 = 0 by factoring.
x=1, 52
x=1, −52
x=1
x=−52
arrange the following in order 9,09 909,09 0,099 0,909 0,0099 9,0099 9,909
Answer:
0.0099, 0.099,0.909, 9.0099, 9.09, 9.909, 909,09
Step-by-step explanation:
Here they are from least to greatest. Hope this helps. :)
An equation for the line
Answer:
y=-1/3x
Step-by-step explanation:
if it’s going down by one there should be one on top on since it’s going over by 3 it should be 3 on the bottom
23 lbs of onions cost $46. How many lbs of onions can you get with $30 ?
Answer:
15 lbs of onions.
Step-by-step explanation:
23 lbs divided by $46 = 0.5 lbs per $1
0.5 lbs times $30
15 lbs
=============================================================
Work Shown:
(23 pounds)/(46 dollars) = (x pounds)/(30 dollars)
23/46 = x/30
1/2 = x/30
1*30 = 2*x
30 = 2x
2x = 30
x = 30/2
x = 15
---------------
Another approach:
Divide the cost over the number of pounds to find the unit price
46/23 = 2
The onions cost $2 per pound.
If x is the number of pounds, and we pay $30, then
2x = 30
x = 30/2
x = 15
Meaning 15 pounds of onions cost $30.
Koda is making birdhouses for a park.
The instructions tell him how many of each wooden shape is needed for one birdhouse.
Complete each statement to adjust the number of shapes for each new situation if he follows the given instructions.
Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
What is regular Pentagon?Regular Pentagon is the closed shaped polygon which has 5 sides equal in measure and 5 interior angles equal in measure.
Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.
For the 8 birdhouse, the number of trapezoids she need is,
Trapezoids=2 x 8
Trapezoids=16
For the 3 birdhouse, the number of rectangle she need is,
Rectangle =4 x 3
Rectangle=12
The number of birdhouse when she use 4 square,
Bird house=4 x 1
Bird house=4
Thus, the number of triangle for 4 birdhouse is,
Triangle=2 x 4
Triangle=8
Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses and 8 triangles when she has 4 square,
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the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.
Answer:
15.7cm
Step-by-step explanation:
the circumference of x=L1=2π =15cm
L2=2π =20cm
L2-L1
=20π-15π
=5π
=5×3.14
=15.70cm
Solve for x: Answer: -13x+8 = -8x - 7 Submit Answe
[tex]-13x+8=-8x-7\\\\8=5x-7\\\\15=5x\\\\3=x[/tex]
the value of x is 3.
Answer: X=3
Step-by-step explanation:
Write the quadratic equation whose roots are -6 and 5, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
= 0
Answer:
The equation is 3x²-6x+5
