Answer:
a. (5, 10).
Step-by-step explanation:
When the equation is (x - 5)^2 + (y - 10)^2, you can find the center from that. The x-coordinate of the center will be x - 5 = 0, so x = 5. The y-coordinate for the center will be y - 10 = 0, so y = 10.
Your center of the circle will be a. (5, 10).
Also, if you want to know the radius, you find the number to the right of the equation (in this case, (10)^2), and find the square root of the number. So, the radius of this circle is 10 units.
Hope this helps!
Find x.
Do not round your answer.
Answer:
x=12cm
Step-by-step explanation:
PA ×PB=PT^2
4×(4+x)=(8)^2
16+4x=64
4x=64-16
4x=48
x=12cm
Answer:
x =12
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(4+x) * 4 = 8^2
Distribute
16+4x = 64
Subtract 16 from each side
4x = 48
Divide each side by 4
4x/4 = 48/4
x = 12
Jan threw a javelin. h(d) the height of the tip of the javelin (in meters) as a function of its horizontal distance (in meters) d from the throwing arc. Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
x - intercept -> Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> the highest point the javelin reached was 14 meters above the ground
increasing or decreasing interval -> Jan threw the javelin a distance of 90 meters
Step-by-step explanation:
x - intercept is where y = 0. Check where y is 0. At x = 90. Meaning it's Jan threw the javelin to a distance of 90 meters
relative maximum or minimum -> there is only a maximum on the graph, look at how the points never go down and back up, but rather up then down.
increasing or decreasing interval is basically just the interval or the x values and they go to 90 so..
Melissa sold 18 raffle tickets for the
school fundraiser. Jonah sold half as
many tickets as Melissa. Shona sold 1
Ź times as many tickets as Melissa. If
each ticket cost $6, how much total
money did the students raise?
Answer:
$324
Step-by-step explanation:
Melissa sold 18 tickets.
Jona sold 1/2 * 18 = 9 tickets
Shona sold 1 1/2 * 18 = 1.5 * 18 = 27 tickets
Total number of tickets sold:
18 + 9 + 27 = 54
Total money from sales: 54 * $6 = $324
4(x – 1) < 20 and x + 6 > 9
What is the surface area of the right cone below?
Answer: D) 339 sq. units
Step-by-step explanation:
see attachment
Can someone help me ASAP please?
Answer:
67.4°
Step-by-step explanation:
sin x=12/13
x=sin-1(12/13)
x=67.38
give answer correct to 1 decimal places
67.38=67.4°
Answer:
[tex]\boxed{Q = 67.4 degrees}[/tex]
Step-by-step explanation:
Sin Q = [tex]\frac{opposite}{hypotenuse}[/tex]
Where opposite = 12, hypotenuse = 13
Sin Q = 12/13
Q = [tex]Sin^{-1}0.923[/tex]
Q = 67.4 degrees
The graph of the equation y=-2 is a line Explain your answer 1) parallel to the x-axis 2)parallel to the y-axis 3)passing through the origin 4) passing through the point (-2,0)
Answer:
Parallel to the x-axisStep-by-step explanation:
Given the graph of the equation y = -2. To determine how the line will look like on Cartesian plane, first we must understand the following;
The standard form of equation of a line is y = mx+c where m is the slope and c is the intercept. Comparing this standard form to the given equation shows that the equation is in slope-intercept form.
It can also written as y = 0x-2. This shows that slope m = 0 and the y-intercept c = -2. The graph can be graphed as y = 0x-2
The line will be an horizontal line drawn on the negative y-axis at the coordinate x = 0 and y = -2. The line will therefore be parallel to the x axis
Check the attachment for the graph.
The graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
A graph is a pictorial representation of data or values in a well - organized manner.
The graph of the equation passes through a point [tex]\boldsymbol{(a,b)}[/tex] if it satisfies it.
The graph of the equation of the form [tex]\boldsymbol{x=a}[/tex] is parallel to the [tex]\boldsymbol{y-}[/tex]axis.
The graph of the equation of the form [tex]\boldsymbol{y=a}[/tex] is parallel to the [tex]\boldsymbol{x-}[/tex]axis.
So, the graph of the equation [tex]\boldsymbol{y=-2}[/tex] is a line parallel to the [tex]\boldsymbol{x-}[/tex]axis
Option 1) is correct.
For more information:
https://brainly.com/question/17995541?referrer=searchResults
What is the area of the trapezoid?
30 square units
60 square units
90 square units
120 square units
Answer:
60 square units
Step-by-step explanation:
We can bound the trapezoid with a rectangle having opposite corners at (4, 6) and (16, 16). This rectangle will have an area of (16 -4)(16 -6) = 120 square units.
From this bounding rectangle we can subtract the areas of the corner triangles. Their x-y extents (CW from upper left) are ...
(10×6), (2×6), (6×4), (6×4)
Their areas are half the product of these base×height dimensions, so the triangles have a total area of ...
(1/2)(60 +12 +24 +24) = 60
Then the area of the trapezoid is the difference of the area of the bounding rectangle and the area of the corner triangles:
trapezoid area = 120 -60 = 60 . . . . square units
How do you find the midpoint of coordinates
Answer:
The midpoint is halfway between two end points.
The x value is halfway between the two x values and
the y value is also halfway between the two y values.
Add both the x and y coordinates and divide by 2.
Step-by-step explanation:
To find the x-coordinate of the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2.
To find the y-coordinate of the midpoint of a segment, add the y-coordinates of the endpoints and divide by 2.
Example:
Find the midpoint of the segment with endpoints (2, 8) and (-5, 12).
x-coordinate of the midpoint: (2 + (-5))/2 = -3/2
y-coordinate: (8 + 12)/2 = 30/2 = 15
Midpoint: (-3/2, 15)
Test for the commutative property of union and intersection of the sets P = { x : x is all real numbers between 2 and 7} and Q = { x : x is all rational numbers between 2 and 7}
Answer:
Step-by-step explanation:
P = {x : x is a real number between 2 and 7}
{x: 3,4,5,6}
Q = {x : x is all rational number between 2 and 7}
{4 }
We know that P contains all the rational numbers between 2 and 7.
And P ∪ Q and Q ∪ P each of them contain all the real numbers which are between 2 and 7.
{3,4,5,6}
Here Q is the proper subset of P
P ∩ Q = Q ∩ P = Q= {4}
Is abc similar to def why or why not I need a anwser ASAP!
Answer:
Yes, because the angles are congruent and the sides are proportional. Look at the degrees and the lengths. Answer C is correct.
Step-by-step explanation:
given that CFE = CFA, CFB = 68, and EFD = 62, find the measure of AFD HURRY PLEASE, IM TIMED!!!
Answer:
D
Step-by-step explanation:
Answer:
C
Please give brainliest, I explained in the comments
Step-by-step explanation:
Is Triangle UVW cong Triangle XYZ? If so, name the postulate that applies
Answer:
Might not be congruent
Step-by-step explanation:
Because look carefully and use the measurment and you can compare my answer to yours
[tex]10 \div 2 = [/tex]
5
Plz work this out ASAP plz
Answer:
0.143059
Step-by-step explanation:
[tex]\dfrac{\sqrt{19 + 6^2}}{7.2^2} =[/tex]
[tex]= \dfrac{\sqrt{55}}{51.84}[/tex]
[tex] = 0.143059 [/tex]
Mia got 24 out of 30 problems
correct. What percent is this?
Answer:
80% (see below)
Step-by-step explanation:
24:30
24 ÷ 30 = 0.8
0.8 = 80%
Hope this helped! :)
Answer:
80%
Step-by-step explanation:
Step 1: Find the fraction she got correct
24/30 = 4/5
Step 2: Find the decimal
4/5 = 0.8
Step 3: Convert to percentage by multiplying by 100
0.8(100) = 80%
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400).
Answer:
Step-by-step explanation:
A consumer is considering two different purchasing options for the car of their choice. The first option, which is leasing, is described by the equation 250x - y + 4000 = 0 where x represents the number of months of ownership and y represents the total paid for the car after ‘x' months. The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). Part A: Find the equations, in slope/y-intercept form, for each of the purchasing options. Explain the significance of the slope and y-intercept for each purchasing option.
Answer: For the first option which is leasing, it is described by the equation:
250x - y + 4000 = 0
The general equation of a line is y = mx + c, where m is the slope of the line and c is the intercept on the y axis.
Since 250x - y + 4000 = 0, we need to make it in the form of the general equation by making y the subject of the formula.
Therefore:
y = 250x + 4000
This means that the slope is 250 and the y intercept is 4000. That is at 0 months, the amount paid for the car is $4000 for the first option. As the value of the months increase by 1, the amount paid for the car increase by 250
The second option, which is the financing option, will cost $400 for 0 months of ownership, (0,400), and $4400 for 10 months of ownership, (10, 4400). To get the equation of the line, we use the formula:
[tex]\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}\\ Substituting:\\\frac{y-400}{x-0}=\frac{4400-400}{10-0}\\\frac{y-400}{x} = 400\\y=400x+400[/tex]
The second option has a slope of 400 and an intercept of 400. At 0 months, $400 is paid for ownership. As the value of the months increase by 1, the amount paid for the car increase by 400
solve for x. Write both solutions, separated by a comma. 9x^2-6x-8=0 please help me
Answer:
(-0.667,0), & (1.333,0)
Step-by-step explanation:
The equation creates two parallel lines on a graph that both have x-intercepts of (-0.667,0) & (1.333,0). So x = (-0.667,0), (1.333,0).
Hopefully this helps & gets brainliest.
can someone help!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
12.42 + 3.6 = 16.02
1.81 + 19.25 = 21.06
-3.5 + 85.95 = 82.45
-75.23 + (-21.8) = -97.03
123.49 + (-6.02) = 117.47
Hope this helps.
Solve the following equation
Answer:
n = 20
Step-by-step explanation:
n/2 - 9 = 1
Add 9 to each side
n/2 -9+9 = 1+9
n/2 = 10
Multiply by 2 on each side
n/2*2 = 10*2
n = 20
The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of water in the pool. The pool is empty after 70 minutes.
Hi,
it'took 70 minutes to empty the pool.
After 20 it's stay 45 000 litres. So in 50 minutes, 45 000 litres are gone.
So : 45 000 / 50 = 4500/5 = 9*5 *100 /5 = 900
900 litres is off every minute.
So the pool contained : 900 *70 = 63 000 litres in the beginning.
PLZZZZZ HLPPPPP MEEEEEEEEEE NOW <3
Answer:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
Step-by-step explanation:
The blue parabola is only a translated version of the red parabola. The standard form of a vertical parabola centered at (h,k), that is, a parabola whose axis of symmetry is parallel to y-axis, is of the form:
[tex]y - k = C\cdot (x-h)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the vertex with respect to origin, dimensionless.
[tex]C[/tex] - Vertex constant, dimensionless. (If C > 0, then vertex is an absolute minimum, but if C < 0, then vertex is an absolute maximum).
Since both parabolas have absolute minima and it is told that have the same shape, the vertex constant of the blue parabola is:
[tex]C = 1[/tex]
After a quick glance, the location of the vertex of the blue parabola with respect to the origin is:
[tex]V(x,y) = (-3,-2)[/tex]
The standard form of the blue parabola is [tex]y+2 = (x+3)^{2}[/tex]. Its expanded form is obtained after expanding the algebraic expression and clearing the independent variable (y):
[tex]y + 2 = x^{2} +6\cdot x + 9[/tex]
[tex]y = x^{2} + 6\cdot x + 7[/tex]
Then, the blue parabola is represented by the following equations:
[tex]g(x) = x^{2} + 6\cdot x + 7[/tex]
HELP ME WITH THIS IMPROPER FRACTION QUESTION pls
Answer:
(a) [tex]4\frac{1}{5}[/tex]
(b) [tex]7\frac{7}{24}[/tex]
Step-by-step explanation:
One way of operating with mixed numbers is to first convert them into improper fractions, and operate with them following the simple rules of fraction multiplication, and at the end convert the answer into mixed number.
(a) For this operation let's first convert [tex]5\,\frac{2}{5}[/tex] into an improper fraction:
[tex]5\frac{2}{5} =5+\frac{2}{5} =\frac{25}{5} +\frac{2}{5} =\frac{27}{5}[/tex]
Now perform the requested operation:
[tex]\frac{7}{9} \,*\,\frac{27}{5} =\frac{189}{45} =\frac{21}{5} =4\frac{1}{5}[/tex]
(b) Start by converting both mixed numbers into improper fractions and then operate as indicated:
[tex]1\frac{3}{4} =\frac{4+3}{4} =\frac{7}{4} \\4\frac{1}{6} =\frac{24+1}{6} =\frac{25}{6}[/tex]
[tex]\frac{7}{4} *\frac{25}{6} =\frac{175}{24} =7\frac{7}{24}[/tex]
Geometry A Credit 3 learning events packet I REWALLLALEJSNE NEED HELP PLEASE
Answer:
Dang that’s Hard
Step-by-step explanation:
Peggy has twice as many apples as kiwis, and three times as many pears as apples. How many pears does she have, if she has 72 apples, kiwis and pears all together?
Answer:
Let's do this step by step
Since there are 72 apples, the pears are 3 times as much. So multiply by 3
[tex]72 * 3=216[/tex]
So there would be 216 pears.
Now for Kiwis
They are 2 times as much, Multiply by 2
[tex]72 *2=144[/tex]
All together with the kiwi and the pears are
[tex]216+144=360[/tex]
And all the fruits together it would be
432
Hope this helps
Answer by
Fishylikeswater
The number of pears, apples and kiwis Peggy has is 216, 72 and 144 respectively.
How many pears does she have?Number of apples = 72 apples
Number of kiwis = 2 × 72
= 144 kiwis
Number of pears = 72 × 3
= 216 pears
Therefore, Peggy has 144 kiwis
Read more on Algebra:
https://brainly.com/question/4344214
#SPJ2
Dominic's three daughters want to take gymnastics this year. It costs $90 per month per child. How much does Dominic need to budget for a year (12 months)
of gymnastics for his daughters?
Answer:
$3,240
Step-by-step explanation:
To find the amount of money that Dominic will need to pay for gymnastics for his three daughters, first you have to multiply the cost per month per child for 12 months to know the cost per year per child:
$90*12=$1,080
Then, you has to multiply the cost per year per child for 3 that is the number of daughters:
$1,080*3=$3,240
According to this, Dominic need to budget $3,240 for a year (12 months)
of gymnastics for his daughters.
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match the pairs of polynomials to their products.
Answer:
(2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
(xy+3x+2)(xy-9)
= X²y² -7xy+3x²y -27x-18
(x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +7xy -6
Step-by-step explanation:
For (xy+9y+2) and (xy-3)
(xy+9y+2) (xy-3)
= x²y² -3xy +9xy² -27y + 2xy -6
= x²y² -xy +9xy² -27y -6
For (2xy +x+y)(3xy² -y)
= 6x²y³ -2xy²+ 3x²y² -xy +3xy³ -y²
For (x-y)(x+3y)
= X² + 3xy -xy -3y²
= X² +2xy -3y²
For (xy+3x+2)(xy-9)
= X²y² -9xy +3x²y -27x+2xy -18
= X²y² -7xy+3x²y -27x-18
For (x²+3xy-2)(xy+3)
= X³y + 3x² + 3x²y² +9xy -2xy -6
= X³y + 3x² + 3x²y² +7xy -6
The current value of a car is given by y = -2000x + 25000, where x represents the number of years after the car was first purchased and y represents the current market value of the car. Explain the significance of the slope and y-intercept of this equation.
Answer:
The slope shows how much money the car decreases by each year. (Every year after the car was first purchased the value of it goes down by $2,000) The y-intercept tells what the starting price of the car was. ( they bought it for $25,000)
Step-by-step explanation:
Algebra
y=mx+b
Which graph represents the solution set of the system of inequalities?
y < 2/3x
Y>-x+2
Answer:
I attached it.
Step-by-step explanation:
This is the graph.
What is the domain and range ?
Answer:
Domain is [-4, 4]
Range is [0, 4]
Step-by-step explanation:
Domain is the fancy name for the values of x that works for the graph (input), in this case, from -4 to 4, inclusive.
Range is the fancy name for the values of y that works for the graph (output), in this case, from 0 to 4, inclusive.