Answer:
[tex]\large\boxed{A.\ (x+6)^2+(y+10)^2=20}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the endpoints of the diameter of a circle (-8, -6) and (-4, -14).
The midpoint of a diameter is a center of a circle.
The formula of a midpoint:
[tex]\left(\dfrac{x_1+x_2}{2},\ \dfrac{y_1+y_2}{2}\right)[/tex]
Substitute:
[tex]x=\dfrac{-8+(-4)}{2}=\dfrac{-12}{2}=-6\\\\y=\dfrac{-6+(-14)}{2}=\dfrac{-20}{2}=-10[/tex]
We have h = -6 and k = -10.
The radius is the distance between a center and the point on a circumference of a circle.
The formula of a distance between two points:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute (-6, -10) and (-8, -6):
[tex]r=\sqrt{(-8-(-6))^2+(-6-(-10))^2}=\sqrt{(-2)^2+4^2}=\sqrt{4+16}=\sqrt{20}[/tex]
Finally we have
[tex](x-(-6))^2+(y-(-10))^2=(\sqrt{20})^2\\\\(x+6)^2+(y+10)^2=20[/tex]
Answer:
It's A...Just had it but i Chose B but it's A
Step-by-step explanation:
 Question:
The time required for a skilled worker to produce x shirts is given by the function T(x) = 4x + 2, where T is measured in hours. The salary the she is paid is given by the function S(T) = 15T, where S is measured in dollars.
A. If the worker produces 18 units, what will she be paid?
B. How many units would the worker need to produce to be paid $3,030?
Answer:
A) The worker is paid S= $ 1110 for producing 18 units.
B) The worker is paid $3,330 for producing x= 50 units.
Step-by-step explanation:
a) given x = 18 units
Time required T(x) = 4x+2
= 4(18)+2
= 72 +2
= 74 hrs
Amount paid S(T) = 15 T
= 15 ( 74) = $ 1110
b) Since S is given, S= $3,030
S(T)= 15 (T)
3030 /15= T
202 hrs= T
Now, we can find x:
T(x) = 4(x) +2
202 = 4x + 2
202-2 = 4x
200 / 4 =x
50 = x
so, worker produces 50 units.
17x > −17
Solve for x
Your answer must be simplified
Need help asap
For this case we must find the value of the variable "x" of the following expression:
[tex]17x> -17[/tex]
We must divide 17 on both sides of the inequality:[tex]\frac {17x} {17}> - \frac {17} {17}[/tex]
x> -1
Thus, the domain of the variable "x" is given by all the higher strict numbers than -1.
Answer:
x> -1
In the given inequation 17x [tex]>[/tex] -17, solved for x gives x [tex]>[/tex] -1.
An inequation, also known as an inequality, is a mathematical statement that compares two expressions or quantities using inequality symbols such as "[tex]<[/tex]" (less than), "[tex]>[/tex]" (greater than), "[tex]\leq[/tex]" (less than or equal to), "[tex]\geq[/tex]" (greater than or equal to), or "[tex]\neq[/tex]" (not equal to).
Inequations express relationships between values that may not be equal but have a specific order or comparison. The solution to an inequation is a range of values that satisfy the given inequality.
Given that
17x [tex]>[/tex] -17
which implies that
x [tex]>[/tex] - [tex]\frac{17}{17}[/tex]
x [tex]>[/tex] -1.
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a circle has a circumference of 20. It has an arc length of 4, what is the central angle of the arc in degrees?
Answer:
Angle = 72°Step-by-step explanation:
To find the length of an arc,
Angle/360 * circumference
Length = 4
Angle = ?
circumference = 20
Angle/360 * 20 = 4
Rearrange to find the Angle.
Angle/360 = 4 / 20 = 0.2
Angle = 360 * 0.2
Angle = 72°Answer:
It’s correct
Step-by-step explanation:
Thanks
How do I solve for X
Answer:
x = 140
Step-by-step explanation:
The figure is a quadrilateral. That means it has 4 sides and more importantly for this question 4 angles. All quadrilaterals have 4 angles that add up to 360o.
You know 3 of the angles. The fourth one is x.
90 + 90 + 40 + x = 360 Combine like terms on the left
220 + x = 360 Subtract 220 from both sides.
220 - 220 + x = 360 - 220 Combine all like terms
x = 140
Given the rectangles perimeter find the unknown side length
What you have to do: 150 + 150 = 300. 1000 - 300 = 700. So 700 either divide that by two or find the square root. It’s either way. Im not quite sure ask your teacher or say you are confused on whether to find the square root or subtract.
To find the unknown side length of a rectangle given the perimeter, subtract twice the known length from the perimeter, then divide the result by 2.
Explanation:To find the unknown side length of a rectangle using the perimeter, you need to know that the perimeter (P) of a rectangle is calculated by the formula P = 2l + 2w, where l is the length and w is the width (or the unknown side length in this case). If you know the perimeter and one side length, you can rearrange the formula to solve for the unknown length. Here are the steps:
First, subtract two times the known length from the perimeter.Then divide the result by 2 to get the unknown width.In mathematical form, it would be w = (P-2l)/2.
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La altura h sobre el nivel del suelo (en pies) de un cohete de juguete, t segundos después de ser lanzado, está dada por h = -16t2 + 120t. ¿Cuándo estará el cohete a 180 pies sobre el suelo?
Answer:
The solutions are
t=2.07 sec and t=5.43 sec
Step-by-step explanation:
The question in English
The height h above ground level (in feet) of a toy rocket, t seconds after it is launched, is given by h = -16t2 + 120t. When will the rocket be 180 feet above the ground?
we have
[tex]h=-16t^{2}+120t[/tex] -----> equation A
[tex]h=180[/tex] -----> equation B
equate the equation A and equation B
[tex]180=-16t^{2}+120t[/tex] ------> equation C
we know that
The solution of the equation C is equal to the x-coordinate of the intersection point of the graph equation A and the graph of the equation B
so
using a graphing tool
The solutions are
t=2.07 sec and t=5.43 sec
see the attached figure to better understand the problem
Find all polar coordinates of point P = (9, 75°).
Answer:
1) (9, 75+360n)
2) (−9, 255+360n)
Step-by-step explanation:
(9, 75) is same as (9, 75 + 360)
so it would be (9, 435)
It can also be expressed as (-9, 75 + 180 degrees)
so (-9,255) degrees
In general, (9,75+360 n) for n≥0 represents half of the possible ways of representing the point : (9,75)
All the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).
What is coordinate?Coordinate is basically point on a surface which shows the position of point on the surface. It is like (x,y) in which x is the point on x axis and y is the point on y axis?
How to find coordinates?We know that x coordinate is r cosΘ and y=r sin Θ. and we have to first find the x coordinates and y coordinates.
The polar coordinates of point p:
1. p(9cos75, 9sin75) = p(2.329, 8.693)
2. p(9cos(180i - 75), 9sin(180 - 75)) = p(-2.392, 8.693)
3. p(9(cos(180 + 75), 9sin(180 + 75)) = p(-2.392, -8.693)
4. p(9cos(360 - 75), 9sin(360 - 75)) = p(2.392, -8.693)
Hence all the polar coordinates of point p = (9, 75°) are p(2.329, 8.693), p(-2.392, 8.693), p(-2.392, -8.693) and p(2.392, -8.693).
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A turtle is 6 feet below the surface of the sea. If his position can be recorded as −6 feet, what would the position of 0 represent?
Answer:
the sea level
Step-by-step explanation:
i can draw a picture
0-----------------------------------------------------------------------------------------------sea lvl
-1-----------------------------------------------------------------------------------------------1ft below
-2----------------------------------------------------------------------------------------2ft below
-3----------------------------------------------------------------------------3ft below
-4-------------------------------------------------------------------4ft below
-5-------------------------------------------------------------------------------5ft below
-6---------------------------------------------o-m----------------------------------6 ft below
^
thats a turtle
A student is trying to solve the system of two equations given below:
Equation P: y + z = 4
Equation Q: 3y + 7z = 15
Which of the following steps can be used to eliminate the y term?
A)−3(y + z = 4)
B) 3(y + z = 4)
C)−1(3y + 7z = 15)
D) −3(3y + 7z = 15)
Answer:
A)−3(y + z = 4)
Step-by-step explanation:
Equation P: y + z = 4
Equation Q: 3y + 7z = 15
To eliminate the y term, The equations have to have the coefficients on y equal and opposite.
Equation Q has 3y, so Equation P needs -3y
Multiply equation P by -3
−3(y + z = 4)
Answer:
A
Step-by-step explanation:
Plz help !! Needed to graduate if picture doesn’t show it is probably loading
Find a decimal between 0.001 and 0.002
Answer:
0.000111
Step-by-step explanation:
0.0015 is a decimal between 0.001 and 0.002.
What is Number system?A number system is defined as a system of writing to express numbers.
To find a decimal between 0.001 and 0.002, you can take the average of the two numbers.
The average of 0.001 and 0.002 is:
(0.001 + 0.002) / 2
= 0.003 / 2
= 0.0015
Therefore, 0.0015 is a decimal between 0.001 and 0.002.
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if m<W=9x-3 and m<Z=3x+15 solve for x
Answer:
x = 14
Step-by-step explanation:
W and Z are adjacent angles. So they are supplementary and add to 180 degrees.
W + Z = 180
9x - 3 + 3x + 15 = 180
12x + 12 = 180 12x = 180 - 12
12x = 168
x = 168/12
How could you write 4/8 as a percent without dividing
4/8 simplifies to 1/2. Multiply 1/2 by 100 to get 50%. Thus, 4/8 expressed as a percent is 50%.
To express 4/8 as a percent without dividing, first, recognize that 4/8 simplifies to 1/2 by dividing both the numerator and denominator by their greatest common divisor, which is 4.
Then, to convert 1/2 to a percent:
1. Multiply 1/2 by 100 to express it as a percentage.
(1/2) × 100 = 50.
So, 4/8 as a percent without dividing is 50%.
Steps:
1. Simplify 4/8 to 1/2.
2. Multiply 1/2 by 100 to convert to a percent.
(1/2) × 100 = 50.
Therefore, 4/8 equals 50% without dividing.
What is 0.01% of 400? Round to the nearest hundredth.
Answer:
0.04
Step-by-step explanation:
The area of the base of a rectangular prism is 36 cm 2
square inches the height of the prism is 3 and 5/6 CM what is the volume of the prism
The volume of the rectangular prism is 138.48 cubic centimeters. It is calculated by multiplying the base area of 36 cm² with the height of 3 and 5/6 cm.
To find the volume of the rectangular prism, you need to multiply the area of the base by the height. The formula for the volume of a rectangular prism is:
Volume = Base Area × Height
Given:
Base Area = 36 cm²
Height = 3 and 5/6 cm
First, let's convert the height to an improper fraction:
3 and 5/6 = (6 × 3 + 5) / 6 = 23/6 cm
Now, plug in the values into the formula:
Volume = 36 cm² × 23/6 cm
To multiply, you can first simplify the fraction:
Volume = 36 cm² × 3.83 cm
Finally, calculate the volume:
Volume = 138.48 cm³
The volume of the rectangular prism is 138.48 cubic centimeters.
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Sabrina needs $12,000 for her first year of college. Her mom has already saved $9,000. Sabrina has to pay the rest. She has 8 months to save enough money for her first year of college. How much does she need to save each month ?
Answer:
$375
Step-by-step explanation:
subtract 9,000 from the 12,000, then divide the 3,000 by 8 and you get 375.
She needs to save $375 each month. This is because the total she needed was $12,000 but her mom paid $9,000 which leaves $3,000 and she has eight months and 3,000 divided by 8 = $375
Hope this helps.
2 DIVIED BY 1/4= 1/6 DIVIED BY 2=
6 DIVIED BY 1/3= 1/3 DIVIED BY 6=
2 DIVIED BY 1/3= 3 DIVIED BY 1/4=
5 DIVIED BY 1/2= 1/2 DIVIED BY 5=
2 dive by 1/4= 8
6 dive by 1/3 = 18
2 dive by 1/3 = 6
5 dive by 1/2= 10
1/6 dive by 2= 1/12
1/3 dive by 6= 1/18
3 dive by 1/4= 12
1/2 dive by 5= 1/10
Answer:
Step-by-step explanation:
0.01041666666
Let f(x)=6−2+2e−0.3x . What is f(−4) ?
Answer:
f(-4) = 10.636
Step-by-step explanation:
In this problem we need to substitute and add together the remaining terms
f(x)=6−2+2e−0.3x
If we simplify
f(x) = (6−2) +2e−0.3x
f(x) = (4) +2e − 0.3x
We substitute the value for e (Euler's number)
e = 2.718
f(x) = (4) +2(2.718) − 0.3x
f(x) = (4) + 5.436 − 0.3x
f(x) = 9.436 -0.3*x
We just need to substitute for x = -4 , to get f(-4)
f(-4) = 9.436 -0.3*(-4)
f(-4) = 9.436 + 1.2
f(-4) = 10.636
Answer: 1.3
Step-by-step explanation:
The sum of x plus y equals 26. If x=17, which equation can be used to find the value of y?
Answer:
the equation thats equal to 26-17=x
Step-by-step explanation:
we can use fact families and do 26-17 is the missing number.if we were to solve it, the answer would be 9
x + y = 26 , 17 + y =26 , 26 - 17=y,26-17=9
y=9, x=17
Solve the equation for x 120(2x − 2) = 240
Answer:
The answer is 2
Step-by-step explanation:
To find this, follow the order of operations as laid out below.
120(2x - 2) = 240 ----> Divide both sides by 120
2x - 2 = 2 ----> Add 2 to both sides
2x = 4 ------> Divide both sides by 2
x = 2
Answer: x= 2
Step-by-step explanation:
120(2x - 2) = 240
open the bracket
240x - 240 = 240
collect like terms
240x = 240 + 240
240x = 480
Divide bothside by 240
240x/240 = 480/240
x= 2
In circle Z, what is m∠2? 70° 133° 140° 147°
Answer:
C
140
Step-by-step explanation:
Answer:
C. 140
Step-by-step explanation:
133 + 147 = 280
280 / 2 = 140
Edge 2022. Trust
Write a sine function with the given amplitude, period, phase shift, and vertical shift.
amplitude: 2; period: pi; phase shift: -1/8 pi; vertical shift: 3
Answer:
[tex]y = 2 sin (\frac{2x- 1}{16 \pi} ) - 1[/tex]
Step-by-step explanation:
We know that the standard form of equation for the sine function is given by:
[tex]y = Asin(Bx-C)[/tex] where [tex]A[/tex] is amplitude, period is [tex]\frac{2\pi }{B}[/tex] and the phase shift is equal to [tex]Bx-C[/tex] set to zero. [tex]C[/tex] is then obtained by this equation.
Here in this problem: A is equal to 2, period=2π/B=2π/2=π, where B is equal to 2 and the phase shift is equal to 2x - 1/16 pi = 0.
[tex] y = 2 sin (\frac { 2 x - 1 } { 16 \pi} ) - 1[/tex]
To construct the sine function y = 2 × sin(2(x + π/8)) + 3, you need to consider the given amplitude, period, phase shift, and vertical shift and substitute them into the general sine equation form.
Constructing the Sine Function
To write a sine function with a given amplitude, period, phase shift, and vertical shift, we use the general form of the sine equation:
y = A × sin(B(x - C)) + D
Given the data:
Amplitude (A): 2
Period: π
Phase Shift (C): -1/8 π
Vertical Shift (D): 3
First, determine B using the formula for the period: Period = 2π / B. Since the period is π:
π = 2π / B
Solving for B, we get:
B = 2
Next, substitute A, B, C, and D into the general form:
y = 2 × sin(2(x + 1/8π)) + 3
The phase shift is negative, indicating a shift to the left. Therefore, the equation becomes:
y = 2 × sin(2(x + π/8)) + 3
Now, you have the sine function with the specified characteristics.
on a certain blueprint, 1/4 inch represents 1 foot. how many feet long is a wall that measures 1 3/4 inches on the blueprint?
Answer:
7 feet
Step-by-step explanation:
Convert 1 3/4 into an improper fraction:
1 3/4 = 7/4
if 1/4 is one foot/ then 7/4 is 7 feet
sorry if i didn't explain this well, hope it helps
A wall that measures [tex]1 \frac{3}{4}[/tex] inches on a blueprint with a scale of 1 / 4 inch equals 1 foot is 7 feet long in actual size after converting the measurements.
The question is about converting a measurement on a blueprint to the actual size in feet. To find out how many feet long a wall that measures [tex]1 \frac{3}{4}[/tex] inches on the blueprint is, we apply the given scale factor. The scale on the blueprint is
1 / 4 inch equals 1 foot. Therefore, to find the actual length in feet, we divide the measured length on the blueprint by the scale factor.
[tex]1 \frac{3}{4}[/tex] inches can be converted to a decimal which is 1.75 inches. Now, we divide 1.75 inches by the scale of 1 / 4 inch per foot:
1.75 inches / (1/4 inches/foot) = 1.75 inches X (4 feet/1 inch) = 7 feet
So, a wall that measures 1.75 inches on the blueprint is 7 feet long in actual size.
Ayuda! En el conservatorio de música hay 250 alumnos de los cuales 100 estudian guitarra, 120 violín y 100 trompeta, además 54 estudian guitarra y violín, 40 violín y trompeta, 46 guitarra y trompeta, además 10 personas estudian todos los instrumentos, ¿ cuántas personas no estudian ningono de estos instrumentos?
What is the volume of the portion of the sphere in which the students' favorite color is red? Round your answer to the nearest tenth.
Answer:
.28
Step-by-step explanation:
Answer:
.28
Step-by-step explanation:
because in the pie chart it shows:
28% of students who likes red.
34% of students who like green.
38% of students who like blue.
28
----- = .28
100
a basketball player makes 2 out of 5 free throws.what is his shooting percentage
Answer: your answer is 40%
Fraction Percent
1/5 20%
2/5 40%
3/5 60%
4/5 80%
A rectangular one-story house covers an area of 1800 square feet. The ceilings are 10 feet high. What is the volume
Answer:
The volume of the rectangular one-story house is [tex]18,000\ ft^{3}[/tex]
Step-by-step explanation:
we know that
To find the volume, multiply the area of the base by the height
so
[tex]V=1,800*(10)=18,000\ ft^{3}[/tex]
What are the coordinates for the origin of the coordinate plane? (1, 0) (0, 0) (0, 1) (1, 1)
The coordinates for the origin of the coordinate plane is (0,0).
What is a coordinate plane ?A Cartesian coordinate system in a plane is a coordinate system that specifies each point uniquely by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.
How to find the origin of the coordinate plane ?The coordinate plane consists of two axes which are the two mutually perpendicular lines, the X-axis and the Y-axis respectively.
The point of intersection of these two axes is known as the origin of the coordinate plane.
For the frame of reference, we take the origin of the coordinate plane as (0,0).
Therefore, the coordinates for the origin of the coordinate plane is (0,0).
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Rewrite f(x) = x2 + 12x + 26 in general form. Because both sides of the equals sign will be manipulated, replace the f(x) with the variable y.
Answer:
The equation
f(x) = x^2 + 12*x + 26
can be rewritten as
y = x^2 + 12*x + 26
More information about this equation can be seen in the picture attached below.
What is the y-intercept of y=-3-7r?
Answer:
y-intercept: -3Step-by-step explanation:
y-intercept is for r = 0.
We have the equation y = -3 - 7r.
Substitute r = 0:
y = -3 - 7(0) = -3 - 0 = -3
Other way.
The slope-intercept form of an equation of a line:
y = mx + b (y = mr + b).
m - slope
b - y-intercept
We have the equation y = -3 - 7r = -7r - 3. Therefore m = -7 and b = -3.