The equation of the circle of radius 4 and center at (-1, 1) is given as follows:
[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]
What is the equation of a circle?The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In this problem:
The circle has center at (-1,1), hence [tex]x_0 = -1, y_0 = 1[/tex].The circle has radius r = 4.Hence, the equation is given as follows:
[tex](x - (-1))^2 + (y - 1)^2 = 4^2[/tex]
[tex](x + 1)^2 + (y - 1)^2 = 16[/tex]
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Please help with this question I really need help!
Answer:
-6, -6
Step-by-step explanation:
Given :
y = x² + 12x + 36Solving :
This is of the form : a² + 2ab + b²Hence, the factored form is y = (x + 6)²y = (x + 6)(x + 6)x + 6 = 0 ⇒ x = -6x + 6 = 0 ⇒ x = -6The zeros are : -6, -6
A company that makes boxes finds that 7 out of 25 boxes are damaged. What percent of the boxes are damaged
Answer:
15%
Step-by-step explanation:
see the picture for explanation
Answer:
28%.
Step-by-step explanation:
That would be 100 * 7/25
= (100/25) * 7
= 4*7
= 28.
what is the absolute value of 62
Answer:
62, since positive doesn't change to negative.
can someone help me with this? thank you!
Answer:
240cm³
Step-by-step explanation:
To find our answer we will multiply the volume, width, and height.
4 · 20 · 3 = 240. Therefore, 240cm³ is our answer.
Have a good day!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate its volume ~
Volume of a rectangular prism is :
[tex]\qquad \sf \dashrightarrow \:v = l \cdot w\cdot h[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 20 \cdot 4\cdot 3[/tex]
[tex]\qquad \sf \dashrightarrow \:v = 240 \: \: cm {}^{3} [/tex]
11. Graph.
y - 2 = -2 (x + 2)
Answer:
y=-2x
Step-by-step explanation:
should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)
P+d= 19 9p+ 5.50d= 150 solve the system of equations , step by step
Answer:
d=6 & p=13
Step-by-step explanation:
1. P+d=19
×9
2. 9p +5.50d=150
×1
9p+9d=171
-
9p +5.50d=150
3.5d=21
d=6
Substituting d=6 in 1.
P+6=19
P=13
how to find slope within two sets of points
The slope within two sets of points is calculated using the slope equation [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
What is slope?The slope of a line or points is the rate of change of the line.
This in other words means that, the vertical change per unit horizontal change
Assume that the points are given as:
(x1, y1) and (x2, y2)
The slope (m) of the points is:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
Hence, the equation of two sets of points is [tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
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Evaluate: (-2)5
0-10
O 10
O-32
32
Answer:
By multiplying -2 by 5 you get:
Step-by-step explanation:
- 10
For each value of v, determine whether it is a solution to -6(v+4)=-6
Answer:
v = -3
General Formulas and Concepts:
Algebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify given.
-6(v + 4) = -6
Step 2: Solve for v
[Division Property of Equality] Divide -6 on both sides:∴ the value of v is equal to -3.
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Topic: Algebra I
What is the length of BC if AC is x+9. And AB is 2x-8
Answer:
BC = 17 - x
Step-by-step explanation:
Let AC be the line segment and B be some point on it,
AB + BC = AC
( 2x - 8 ) + BC = x + 9 ...............(1)
BC = x + 9 - ( 2x - 8 )
BC = 17 - x
General rule nth term)
6;11;16; 21; .....
Answer:
The rule is increase by 5. That means the next term would be 26.
Find the center and radius of the circle represented by the equation below.
Layla owns a small business selling clothing. She knows that in the last week 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card. Based on these results, express the probability that the next customer will pay with something other than a credit card as a decimal to the nearest hundredth.
Probability of paYing in credit card
11/830.13P(Not paying in credit card)
1-0.130.87The probability that the next customer will pay with something other than a credit card is 0.87.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that Layla owns a small business selling clothing. She knows that in the last week, 52 customers paid cash, 20 customers used a debit card, and 11 customers used a credit card.
Based on these results we have;
Total cards=52+20+11=83
Probability of paying in credit card;
11/83
0.13
Now, P(Not paying in credit card)
1-0.13
0.87
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what is the rule for 2;13;26;32?
Answer:
sequence
Step-by-step explanation:
The sales tax rate is 10%. If Matt buys a computer keyboard priced at $34, how much tax
will he pay?
Answer:
$3.40
Step-by-step explanation:
10% of $34
= [tex]\frac{10}{100}[/tex] × $34
= 0.1 × $34
=$3.40
Write an equivalent expression by distributing the "-−" sign outside the parentheses:
8.9r-(-5s-10)
Answer:
8.9r + (5s + 10)
actually the parenthesis aren't necessary...
8.9r + 5s + 10
Step-by-step explanation:
You can change a subtraction to addition if you change the second term to the opposite sign. This problem is like advanced mode of "Add the Opposite"
8.9r - (-5s - 10)
= 8.9r + (+5s + 10)
= 8.9r + (5s + 10)
= 8.9r + 5s + 10
The sum of three consecutive intergers is 189 what are the integers
Answer:
62, 63, 64
Step-by-step explanation:
The middle integer of three consecutive integers will be the average of them. That is, it will be their sum, divided by 3.
__
The middle integer is 189/3 = 63.
The three consecutive integers are 62, 63, 64.
_____
Additional comment
If you'd like to write an equation that tells you the same thing, let x represent the middle integer. Then the lower one is x-1, and the upper one is x+1. Their sum is ...
(x-1) +x +(x+1) = 189
3x = 189 . . . . . . . . . . . . simplify
x = 189/3 = 63 . . . . . . . divide by the coefficient of x
(x-1) = 63-1 = 62 . . . . . . find the other two integers
(x+1) = 63+1 = 64
PLEASE HELP ASWER NEEDED BEFORE 2 HOURS!10. When adding or subtracting mixed numbers, you can use the To help separate the whole numbers from the fractions. Solve the following problems 11. + // 12.1 / +2/3/ 13. 10+ 39/160 14.6 / +9 15.3 1/1 + 4/1/20
Answer:
I was unable to do no. 10 hope others solution can help you
Tops corporation is organized into two divisions, manufacturing and marketing. both divisions are considered to be profit centers and the two division managers are evaluated in large part on divisional income. the company makes a single product. it is fabricated in manufacturing and then packaged and sold in marketing. there is no intermediate market for the product.
the monthly income statements, in thousands of dollars, for the two divisions follow. production and sales amounted to 10,000 units.
manufacturing marketing
revenues $ 3,000 $ 5,000
variable costs 2,400 3,700
contribution margin $ 600 $ 1,300
fixed costs 500 800
divisional profit $ 100 $ 500
Top company would accept the order as it increases the total profit of the corporation by $90000
How to illustrate the information?As a company as a whole, Tops corporation will accept orders if the contribution margin increases by accepting orders.
a. The contribution margin will be:
= sales price - variable cost of manufacturing department - variable cost of marketing department
= $400 - [$2400*1000/10000units] - $70
= $400 - $240 - $70
= $90
Therefore, the increase in profit will be:
= $90 × 1000
= $90000
Top company would accept the order.
b. The marketing department will accept the order as it increases its profit by $400000-$370000 = 30000.
c. The manufacturing division manager would accept the order as it increases its profit by $60000. This was gotten as:
= (300 × 1000) - (240 × 1000)
= 300000 - 240000
= 60000
The other parts of the question include:
The company has just received an offer to buy 1,000 units of the product this month at a price of $400 per unit. The Marketing Division manager suggests that for the special order only, the transfer price be set at 50 percent of the sales price, or $200 per unit. Instead, assume the transfer price is unchanged from the current transfer price.
Required:
a. Does Tops Corporation want to accept this order?
b. Will the Marketing Division manager be willing to accept this order?
c. Will the Manufacturing Division manager be willing to accept this order?
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Write an expression to represent:
"5 times the sum of 12
and a number"
5 (12 + x)
Step-by-step explanation:
Answer:
5(12+X)
Step-by-step explanation:
A sphere with a 2-inch radius is packed in a cube so that all sided touch. How much empty space is left in the cube?.
The volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
What is a cube?It is defined as three-dimensional geometry that has six square faces and eight vertices.
We have a sphere with a 2-inch radius is packed in a cube so that all sided touch.
The volume of the sphere = (4πr³)/3 = (4π(2)³)/3 = 33.51 cubic inches
The side length of the cube = 4 inches
Because diameter of the sphere is 4 inches and all sided touch to the cube face.
Volume of the cube = 4³ = 64
The volume of the empty space = 64- 33.51 = 30.49 cubic inches
Thus, the volume of the empty space is 30.49 cubic inches if the sphere with a 2-inch radius is packed in a cube so that all sided touch.
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How do I find the radius/x of a shaded region with it's area and/or angle measurement?
Answer:
[tex]x \approx 9.823\ ft[/tex]
Step-by-step explanation:
Remember that the area of a sector is defined as:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2[/tex]
In this problem, we are given the area [tex]A[/tex], and the angle [tex]\theta[/tex]. We can set up an equation to solve for the radius, which is x:
[tex]A = \frac{\theta}{360^\circ}\times \pi r^2\\128 = \frac{152}{360}\times \pi r^2\\128 \times \frac{360}{152} = \pi r^2\\\frac{5760}{19} = \pi r^2\\r = \sqrt{\frac{5760}{19 \pi}}\\r \approx 9.823[/tex]
Answer:
r ≈ 9.8 feet
Step-by-step explanation:
Formula of A Sector
Area (Sector) = πr² × θ/360°Substitute the given values in the formula to find r.
128 = 3.14 × r² × 152/36040.76 = r² × 19/45r² = 1834.2/19r² = 96.54r ≈ 9.8 feetHow many solutions are there to the equation below?
6x +33 = 6(x+6)
Answer:
no solution
Step-by-step explanation:
6x + 33 = 6x + 36
33 ≠ 36
Answer:
no solutions
Step-by-step explanation:
6x + 33 = 6(x + 6) ← distribute parenthesis
6x + 33 = 6x + 36 ( subtract 33 from both sides )
6x = 6x + 3 ( subtract 6x from both sides )
0 = 3 ← not possible
This indicates the equation has no solution
]
What is the median of this data set?
22, 37, 49, 15, 72
А. 39
В. 37
С. 47
D. 49
Jorge is an administrative assistant. He was involved in a serious car accident and broke both wrists. Which of his
insurance plans will provide him with income while he is out of work recovering for six weeks?
A)short-term disability
B)workers' compensation
C)long-term disability insurance
D)medical insurance
Answer:
Medical Insurance
Step-by-step explanation:
Answer:
Medical Insurance
Step-by-step explanation:
serious car accident and broke both wrists.
Angles 1 and 2 are supplementary
Angle 1 = 30°
Answer:
Angle 2 = 150°
Step-by-step explanation:
▪︎ Measures of supplementary angles add up to 180°.
Therefore,
Angle 1 + Angle 2 = 180°
Angle 1 = 30°
30° + Angle 2 = 180°
Angle 2 = 180° - 30° = 150°
help 30 points for all ansers
The answers to the problem are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles.
c) ∠BST and ∠RSB are complementary angles.
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY.
Types of AnglesAngles are formed when two lines meet and they are of different types.
acute: this is an angle less than 90°
obtuse: this angle is greater than 90° but less than 180°
reflex: this angle is greater than 180° but less than 360°
Analysis:
∠BRS = 180 - (20X - 22) = 202 - 20X
a) To find x, sum of angles in the triangle = 202-20x + 2x+32 + 5x+10 + 120-10x = 180
364 -23x = 180
23x = 364-180
23x = 184
x = 8
b) ∠ZRB = 20x-22 = 20(8) - 22 = 138°
∠BTS = 2x+32 = 2(8)+32 = 48°
138°+48° = 186° [tex]\neq[/tex] 180°
They are not supplementary
c) ∠BST = 120-10X = 120 - 10(8) = 40°
∠RSB = 5x+10 = 5(8)+10 = 50°
50+40 = 90°. They are complementary
d) ∠ABT = 180 - ∠ABR = 180 - 100 - x = 88°
It is acute since it is less than 90°
e) SA is not an angle bisector, since it dived the angles as 40° and 50° and not equal.
In conclusion, the solution to the questions are:
a) The value of x is : 8
b) ∠ZRB and ∠BTS are not supplementary angles
c) ∠BST and ∠RSB are complementary angles
d) ∠ABT is an acute angle
e) SA is not the bisector of the angle ∠ZSY
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If (8^2)p = 8^4, what is the value of p?
2
3
4
6
Answer:
Step-by-step explanation:
8²p=8^4
64p=4096
p=64
p could also equal 2
8^2x2=8^4
Answer: P = ^2
Step-by-step explanation:
8^4= 4096
8^2= 64
4096/64=64
(8^2)^2= 8^4
4096 = 4096
I'm good how's life!
What is the circumference of this circle, in millimeters? use startfraction 22 over 7 endfraction for pi. a circle with radius 49 millimeters. 154 308 484 968
The circumference of the circle with a radius of 49mm is 308mm
How to find the circumference of a circle?The circumference of the circle is also known as its perimeter. The formula is expressed as:
C = 2pi r
r is the radius = 49mm
pi = 22/7
Substitute
C = 2 * 22/7 * 49
C = 2 * 22 * 7
C = 308mm
Hence the circumference of the circle with a radius of 49mm is 308mm
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Answer:
B
Step-by-step explanation:
What is factorisation?
It is also called Middle Term Splitting
Its a cool thing with which you can solve different orders of polynomials(or any algebraic expressions if you're a pro).
It is writing an expression as a product of 2 or more factors
Answer:
factorization is of writing a number or another mathematical use as a product of several factors, usually smaller of the same kind.
Step-by-step explanation
3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.