What is the diameter of a circle with the equation (x – 4)2 + (y + 6)2 = 64?
a. 4
b. 8
c. 16
d. 64
Answer:
16Step-by-step explanation:
step one:
given data
we are given the equation of the circle as
[tex](x -4)2^ + (y + 6)^2 = 64[/tex]----------------1
We know that the general equation for a circle is
[tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]--------------2
comparing the two equations above, we can immediately compare the term on the other side of the equality sign that is
r^2=64
square root both sides
r=√64
r=8
since the radius is 8, hence the diameter is
d=2
r= 2*8
=16
Answer:
C. 16
Step-by-step explanation:
Edge!
Which of the following
relations is a function?
{(-2, 3), (4, 1), (0, 0), (-2, 2)}
{(1, 1), (2, 2), (1, 2), (2, 1)}
{(2,3), (3, 2), (6, 3), (3, 6)}
{(6,5), (5, 6), (3, 1), (1,3)}
Answer:
D
Step-by-step explanation:
6. 6
5. 5
3. 3
1. 1
1 output for each input
Las edades de los estudiantes de primer semestre de preparatoria oscilan entre
14 y 17 años. En un salón de 18 alumnos se tienen los siguientes datos.
Alumnos 1 2 3 4 5 6 7 8 9 1
0
1
1
1
2
1
3
1
4
1
5
1
6
1
7
1
8
Edades 1
6
1
5
1
7
1
4
1
4
1
4
1
4
1
5
1
5
1
6
1
6
1
6
1
6
1
7
1
7
1
5
1
5
1
5
Answer:
eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee hiiii
Step-by-step explanation:
a.5÷4 divide and show work
Answer:
1.25
Step-by-step explanation:
1.25
THATS THE ANSWER
✨✨✨✨✨✨✨✨
Write a real world problem for the equation 8x+2=26
Answer:
George has 8x+2=26 bottles of soap what is x
Step-by-step explanation:
1. In order to increase sales the price of a Concorde airliner is reduced from
$30,000,000 to 28,400,000, what percentage reduction is this?
Answer:
5.33%
Step-by-step explanation:
(28,400,000÷30,000,000 ) × 100%
= 94.67%
the reduced amount = 100 - 94.67
= 5.33%
Answer:
5.333333333333334%
Step-by-step explanation:
5.333333333333334% of 30,000,000 = 1,600,000
Tip: Don't get scared by numbers, percentage don't change by how many zeros, i found this just by figuring out by: 1.6 is what percentage of 30?
You could find it on a "Percentage calculator"
Hope this helps!
Ace Carlos
7m+21=5m−5
Can someone help me?
Answer:
m=13
Step-by-step explanation:
7m+21=5m-5
7m-5m=2m
2m+21=-5
-5-21=-26
2m=-26
-26/2
13
13=m
Answer:
m=-13
Step by step is glitching out
A triangle has an area of
2x2 + 4x – 16 square meters. If the base
is x – 2 meters, find the height
Answer:
The expression for the area of the given triangle is 5x^4+4x^3units
Step-by-step explanation:
A punch recipe calls for 6 quarts of juice. If the recipe is tripled, how many gallons of juice will be needed
A : 18
B: 9
C: 4 1/2
D : 3
Plzzzzzzzzzzz help im dumb
Answer:
C I did the test sorry if im wrong
Step-by-step explanation:
<3 Goodluck
plz answer its due today!!
Answer:
-5/8
Step-by-step explanation:
What is 2/3 divided by 1/2 ?
A. 3/4
B. 4/3
C. 1/3
D. 1/4
Answer:
B. 4/3 is your answer dear.
Step-by-step explanation:
Solve
2/3 * 2/1
coz it is reciprocal .
you'll get 4/3
Hope you got it.
Whích best describes the range of the function f(x) = } 6)* after it has been reflected over the x-axis?
all real numbers
all real numbers less than 0
all real numbers greater than 0
O all real numbers less than or equal to 0
Answer:
c
Step-by-step explanation:
im right i took the test
Quadratic functions. Did I do it right?
Answer:
1) The graph is opening upwards
2) Axis of symmetry is x=-2
3) Vertex: (-2, 1) minimum y=1
4) y intercept is (0, 9)
5) domain: x|x ∈ R (All real numbers)
6) Range y|y ≥ 1
Mallory's mom gave her $25.00 to buy school supplies. Mallory needs to buy 5 notebooks and some mechanical pencils. If each notebook costs $2.19 and each mechanical pencil costs $1.50, how many mechanical pencils can Mallory buy using only the money her mom gave her?
Answer:
Mallory can buy 16 notebooks
Step-by-step explanation:
You divide 25.00 by 1.50 which is 16.6 repeating. so, she can only buy 16 notebooks
Answer:
she can buy 9 pencils
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below. How many inches of ribbon does the dressmaker have, in total?
Answer:
She can cut 180 (9 - inch) pieces
Step-by-step explanation:
A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? Before you try that problem, answer the question below.
Step 1
How many inches of ribbon does the dressmaker have, in total?
1 roll of ribbon = 9 feet
15 rolls of ribbon = x feet
x = 15 roll × 9 feet
x = 135 feet
Converting from Feet to inches
1 foot = 12 inches
135 feet = x inches
Cross Multiply
x = 135 × 12 inches
x = 1620 inches
The dress maker cuts 9 inches each
How many 9-inch pieces can the dressmaker cut from 15 of these rolls of ribbon?
15 rolls of ribbon = 1620 inches of ribbons
Hence: = 1620 inches/9
= 180 pieces
She can cut 180 (9 - inch) pieces
True or false Every relation that is linear, must be a function?
Answer: False
Step-by-step explanation: Let's review the idea of graphs.
For a graph to be linear, it must be a straight line.
To determine whether a given graph is a function,
we use the vertical line test.
The vertical line test tells us that if a vertical line is drawn on a graph,
and hits the graph in more than one place, the graph is not a function.
In fact, this definition tells us the only type of linear graph
that will fail the vertical line test, and that's a vertical line.
Any vertical line that we draw will be both linear and not a function.
One possible graph could be x = 2.
Any vertical line will fit this description.
find a factor of 5x^2+ 27x - 56
PLEASE HELP!!! I NEED HELPPPPP!!! I HAVE 5 MINUTES TO DO THIS!!!!!
Can someone please help
Smamsnsnjaka
Answer:
2.25 is thhe slope
Step-by-step explanation:
Identify the most reasonable unit to measure the volume of a glass of orange juice.
Answer:
Liters
Step-by-step explanation:
Every recipient that has a volume of liquid in it,you mesure it in liters!
-4 - 2 (y + 1) = -7
step by step pla
simplify I know I spelled it wrong
Answer:A
Step-by-step explanation:
Answer:
D ) 25t + 10
Step-by-step explanation:
Re-order terms so constants are on the left:
(5t+2) 5
5 (5t +2)
Distribute:
5 (5t +2)
25t +10
Answer:
25t +10
Gary wants to buy a video game with a selling price of $48, on sale for 50% off. The sales tax in his state is 4.5%. How much does will Gary have to pay in all? If he has $25, can he afford to purchase the game?
Answer:
i. $26.16ii. He cannot afford the video gameStep-by-step explanation:
Step one:
given
selling price = $48
discount is 50%
tax= 4.5%
Step two:
let us first compute the amount in discount
=50/100*48
=0.5*48
=$24
also, let us compute the tax added
=4.5/100*48
=0.045*48
=$2.16
The total amount Garry has to pay is
=48-24+2.16
=$26.16
Step three:
If he has $25, he cannot afford the video game, he will have a deficit of $1.16
Answer: Gary will have to pay $25.08 in all, and if he has exactly $25, he can't afford to purchase the game because he only has $25, and he has to pay $25.08. $25.08 is more than $25, so he can't afford the game.
Step-by-step explanation:
First, subtract the $48 and 50% to find how much the video game costs.
So, $48-50%=24
Then, add the price of the video game, $24, to the 4.5% tax.
24+4.5%=25.08
Thus, Gary will need to pay $25.08 in all.
What is the unit rate for the cereal when it is 3/$10?
A $3/box
B $3.30/box
C $3.33/box
D $3.67/box
Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
Below are two parallel lines with a third line intersecting them
X=?
Answer:
Step-by-step explanation:
x is 34 degrees since the lines are parallels
Solve plzzz ASAP due today
Answer:
#3- x=2.73
#4- x=8
Step-by-step explanation:
Answer: X = 3 / X = 8
Step-by-step explanation:
3. (Angles add up to 180)
30x + 4 + 86 = 180
30x + 90 = 180
subtract 90 from both sides
30x = 90
Now divide by 30
x = 3
Check your work ( input 3 to the equation)
30(3) + 4 + 84
90+ 90 = 180 it works :)
4. (Angles are adjacent to each other so there equal)
10x - 3 = 77
add 3 to both sides
10x = 80
divide it by 10
x = 8
Check your work ( input 8 to the equation )
10(8) -3 = 77
80 - 3 = 77
77 = 77
Match the term with the definition. (5 points) Column A 1. Line : Line 2. Line Segment : Line Segment 3. Ray : Ray 4. Point : Point 5. Vertex : Vertex Column B a. a location, has no dimension b. the common endpoint of two segments or rays that form the "corner" of an angle c. an infinite number of points extending in opposite directions that has only one dimension d. part of a line that has two endpoints e. part of a line that has one endpoint and continues in one direction infinitely
Answer:
a. Point.
b. Vertex.
c. Line.
d. Line segment.
e. Ray.
Step-by-step explanation:
a. Point: a location, has no dimension. Also, a point doesn't have a size i.e no length, depth, breadth or height.
b. Vertex: is the common endpoint of two segments or rays that form the "corner" of an angle.
c. Line: is an infinite number of points extending in opposite directions that has only one dimension.
d. Line segment: is part of a line that has two endpoints.
e. Ray: is part of a line that has one endpoint and continues in one direction infinitely.
Divide. Round your answer to the nearest whole number.
2,592.1856 divided by .108=?
Answer:
24002
Step-by-step explanation:
2,592.1856 divided by 0.108
= 24001.7185185
= 24002 (rounded to the nearest whole number)
Hope this helped!