The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.
What is a circle?It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
The equation of the circle is given as
x² + y² + 8x − 6y + 21 = 0
The equation can be written as
x² + 8x + 16 + y² − 6y 9 = 4
(x + 4)² + (y − 3)² = 2²
Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.
More about the circle link is given below.
https://brainly.com/question/11833983
Answer: ^ TDLR : 2 units / A
Step-by-step explanation:
edge 2023 x3
Ira purchased a new dishwasher for $361.35. the dishwasher was on sale for 17.5% off. what was the original price of the dishwasher, to the nearest dollar? a. $379 b. $382 c. $425 d. $438
A discount is the amount of money that is removed from the original price. The original price of the dishwasher is $438.
What is a discount?A discount is the amount of money that is removed from the original price of a commodity when it is being sold.
We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.
Let the original price be x
x - 17.5/100x = 361.35
82.5x/100 = 361.35
x = 361.35 * 100/82.5
x = $438
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HELPPPP RIGHT NOW FOR BRAINLEST!!!!
Can anyone help me with this answer.
Answer:
27 cm²
Step-by-step explanation:
Shaded Area = Area ABCE - Area AED
S.A. = 6 x 6 - 1/2 x 3 x 6 [DE = 1/2AB = 1/2 X 6 = 3]S.A. = 36 - 9S.A. = 27 cm²Answer:
27 sq cm
Step-by-step explanation:
Area of the shaded region
= Area of rectangle - Area of triangle
= 6*6 -1/2(6)(3)
= 36 - 9
= 27 sq cm
6. Quaker uses 14 of a barrel of chocolate chips to make each batch of their
Chewy marshmallow chocolate chip granola bars. In one day, the company uses
3 12 barrels of chocolate chips to make granola bars. How many batches
of granola bars did the company make in the day?
Answer:
4/5=.80
4/.80= 5
5*7= 35
You can make 35 granola bars with 4 cups of chocolate chips.
I hope this helps!
The number of batches of granola bars the company make in the day is 22.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.
Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips
= 312/14
= 22.28
≈ 22
Therefore, the number of batches of granola bars the company make in the day is 22.
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Which value for x makes the sentence true?
1/40 + X = 1/8.
А. 3/20
B. 1/10
C. 1/24
D. 1/32
Answer:
B
Step-by-step explanation:
[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]
[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]
[tex]1 + 40x = 5 \times 1[/tex]
[tex]1 + 40x = 5[/tex]
[tex]40x = 5 - 1[/tex]
[tex]40x = 4[/tex]
[tex] \frac{40x}{40} = \frac{4}{40} [/tex]
[tex]x = \frac{1}{10} [/tex]
Answer:
1/10
Step-by-step explanation:
HELP!!!
Solve 2√x-4=10.
What is the solution for x?
Answer:
x=29
Step-by-step explanation:
divide by 2 first on both sides.
then put paranthesis on both sides and power it to the 2nd.
you get
(x-4)^2=5^2
simplify and you get x-4=25
add 4 on both sides and you get x=29!
If (x k) is a factor of f(x), which of the following must be true? f(k) = 0 f(–k) = 0 a root of f(x) is x = k. a y intercept of f(x) is x = –k.
A root of f(k) is x=k. Option C is correct.The numbers we're multiplying are factors of the product since they're divisible by it.
What is a factor?A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,
The factor of the f(x) is given as;
[tex]\rm (x+k)[/tex]
The factors satisfy the equation as;
[tex]\rm (x+k)=0 \\\\ x=-k[/tex]
Hence one root of f(x) is x = -k, The correct answer is option C.
To learn more about the factors refer to the link;
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Answer:
Option C
Step-by-step explanation:
On your own paper, graph the system of equations and identify the solution:
y = 3x - 4
y = 3x + 1
The equations y = 3x - 4 and y = 3x + 1 are linear equations
The equations have no solution
How to determine the solution of the equations?The equations are given as:
y = 3x - 4
y = 3x + 1
Next, we plot the graph of the equations y = 3x - 4 and y = 3x + 1
From the graph (see attachment), we can see that the equations do not have a point of intersection
Hence, the equations has no solution
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Costs of Attendance
Category Dollar Amount
Annual Tuition and Fees $9,134.00
Annual Room and Board $3,415.00
Annual Cost of Books and Supplies $1,225.00
Other One-Time Fee $750.00
Annual Scholarship and Grants $10,550.00
Using the information from the table, identify the equation in slope-intercept form that models the total cost of attendance. (1 point)
y = 13,774x + 750
y = 14,524x
y = 3,224x + 750
y = 3,974x
Answer:
y = 3,224x + 750
Step-by-step explanation:
Assuming the scholarship and grants are applied using the slope intercept form y=mx+b where m is the slope in this case the cost per year attending x the number of years attended and b the y intercept which in this case is the one time fee subtracting 13,774 by 10,550 gives us 3,224.
Since the one time fee is only in place once that would make it the y intercept therefore y=3,224x+750 is the correct answer
9)Which expression is equivalent to 3(2x + 5), no matter what value is substituted in for x?
A) 5x + 8
B) 5x + 5
06x+5
D) 6x + 15
Answer:
D) 6x+15 is the correct answer.
Step-by-step explanation:
You need to do distributive property to simplify the expression.
3(2x+5) is your expression
You need to multiply 3 by 2x and 5
6x+15 is your final.
Therefore, D is the correct answer.
te in short form: 4 hundreds + one ten + 7 ones = 7 hundreds + 2 ones = 9 hundreds + 2 tens + 6 ones =
A 3-column table with 5 rows. the first column is labeled state with entries florida, michigan, new york, california, texas. the second column is labeled republican primary with entries 12.8%, 16.5%, 1.4%, 22.9%, 12.8%. the third column is labeled general election with entries 63.5%, 64.7%, 53.1%, 55.2%, 49.7%. look at the table. what information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections? the year in which this election took place the candidates running for president the percentage of democratic primary voters the states of new jersey and arizona
Answer:
Percentage of Democratic primary voters
Step-by-step explanation:
Answer: C (the percentage of democratic primary voters)
Step-by-step explanation: took the test on edge
The base is a square, 4.5 on a side. The height is 5cm
Looking for the volume, help!
Answer:
Given :-
Length and Breadth = 4.5 cmHeight = 5cmTo Find :-
Volume of the shapeSolution :-
Volume = l ×b ×h /3
putting the known values ,Volume = 4.5 × 4.5 × 5 cm/3³
Volume = 101.25/3 cm³
Volume = 33.75 cm³
Answer:
Volume = 33.75 cm³Step-by-step explanation:
After reading question we can understand that the all these measurements are of pyramids .
So In the question we are given ,
Base of square = 4.5 cmHeight of pyramid = 5 cmWe know that in pyramid length and width are equal to base of a square . Therefore ,
Length of pyramid = 4.5 cmWidth of pyramid = 4.5 cmFormula :[tex] \rightarrow \blue{\boxed{ \sf{Volume \: of \: pyramid = \frac{lwh}{3} }}}[/tex]
Where ,
l refers to length of pyramidw refers to width of pyramidh refers to height of pyramidNow , substituting values of l , w and h :
[tex] \longmapsto \: \frac{4.5 \times 4.5 \times 5}{3} [/tex]
Now , by multiplying 4.5 , 4.5 and 5 , We get :
[tex] \longmapsto \: \frac{101.25}{3} [/tex]
Now , by dividing 101.25 by 3 , We get :
[tex] \longmapsto \: \red{\boxed{33.75}}[/tex]
Therefore , volume of pyramid is 33.75 cm³ .#Keep LearningDoes anyone understand this? Please explain and give me da answer ahahah, istg this teacher doesn’t teach at all.
Answer:
4.125
Step-by-step explanation:
33 divided by 8 and you get 4.125
Rebekah finds that a solution of sugar in water has a volume of 1.32 fl. oz. how should she report this amount using the metric system? (1 fl. oz. = 29.6 ml) 0.403 m 1.40 qt 37.5 g 39.1 ml
Rebekah reports the volume of sugar solution using metric system as 39.1 mL. Thus, option D is correct.
What is metric system?The metric system has been the measurement system introduced in 1790s. The system has mediated the units for the measurement of volume, mass, length.
The volume has been the space that has been occupied by matter. The volume can be denoted with SI unit L. However, the another accepted unit for volume has been mL.
Thus, the volume of sugar solution has been reported in mL.
The given sugar solution has volume of 1.32 fl. Oz
The volume in mL can be given as:
[tex]\rm 1\ fl\ oz=29.6\ ML\\\\1.32\ fl\ oz=-1.32\times 29.6\ ML\\\\1.32\ fl\ oz=39.1\ ML[/tex]
The volume of the sugar solution reported by Rebekah on the metric scale has been 39.1 mL. Thus, option D is correct.
For more information about the metric system, refer to the link:
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Answer: 39.1 mL (D)
Step-by-step explanation:
ed
Write an expression for the product of z and 331.
Type an asterisk (*) if you want to use a multiplication sign and a slash (7) if you want to
use a division sign.
It is a test i dont know how to do equations for scatter plots.
When you say, "What is the difference between 'a' and 'b'," is 'a' being subtracted by 'b' or is 'b' being subtracted by 'a'?
Answer:
a-b
Step-by-step explanation:
The difference will usually be the first term subtracted by the second but it is the space/value between the numbers so technically you could just take the negative from b-a as -(b-a) and get the same value
In circle k(O),
AC is a diameter,
AB is a chord, and
MA is tangent to the circle. Angle ∠MAB is acute. Prove that m∠MAB=m∠ACB
The circle and the lines AC & AB are illustrations of congruent angles
See below for the proof that the angles ∠ACB and ∠MAB are equal
How to prove that ∠MAB=∠ACBTo prove that ∠MAB=∠ACB, we make use of the attached diagram
From the attached diagram, we have:
∠MAB = x°
The angle at between a tangent and a radius or a diameter is a right angle.
This means that:
∠MAB + ∠BAC = 90°
Substitute ∠MAB = x°
x° + ∠BAC = 90°
Subtract x from both sides
∠BAC = 90° - x°
The angle at in a semicircle is a right angle.
This means that:
∠CBA = 90°
The angles in a triangle add up to 180°.
So, we have:
∠BAC + ∠CBA + ∠ACB = 180°
Substitute ∠CBA = 90° and ∠BAC = 90° - x°
90° - x° + 90° + ∠ACB = 180°
Evaluate the like terms
180° - x° + ∠ACB = 180°
Subtract 180° from both sides
- x° + ∠ACB = 0
Add x° to both sides
∠ACB = x°
Recall that:
∠MAB = x°
So, we have:
∠ACB = ∠MAB = x°
Hence, the angles ∠ACB and ∠MAB are equal
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hey guys is this correct?
pls help with my problem!
i don’t get it because my teacher
because your teacher doesn't teach you well??!
hope it helps...!!!
You and your friend are using ribbon to make cards. Your ribbon is 78 inch wide. Your friend's ribbon is 58 inch wide. How much wider is the ribbon you are using?
Answer:
20 inches longer
Step-by-step explanation:
78-58= 20
Is it A,B,C,D ??????
Answer:
Options A, B & D
Step-by-step explanation:
[tex]5-2\frac{3}{4} =\frac{20}{4} -\frac{11}{4} =\frac{9}{4} =2\frac{1}{4}[/tex]
Hope tis helps
Help me put the inequality on the number line!
Answer:
3 with an arrow pointing to the left
Step-by-step explanation:
A circle's radius is 8 inches.
What is the circle's circumference (use 3.14 for pi and round to the
nearest tenth)?
PLS HELP!!!! No links pls and ty <3
The circumference of a circle with radius 8 inches is 50.2 inches
How to find the Circumference of a circle?The circumference of a circle can be calculated as follows;
circumference of a circle = 2πr
where
r = radiusTherefore,
circumference of a circle = 2 × 3.14 × 8
circumference of a circle = 16 × 3.14
circumference of a circle = 50.24 inches
circumference of a circle = 50.2 inches
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Solve for h. -18 + h = 28
h=10
Answer:
h = 46
Step-by-step explanation:
Have unknowns (h) on one side and knowns on other side.
-18 + h = 28 Add 18 on both side to move it to the right side.
h = 28 + 18
h = 46
Answer:
[tex]\boxed{\sf{h=46}}[/tex]Step-by-step explanation:
Isolate the term of h from one side of the equation.
-18+h=28First, switch sides.
⇒ h-18=28
Add by 18 from both sides.
⇒ h-18+18=28+18
Solve.
Add the numbers from left to right.
⇒ 28+18=46
⇒ h=46
Therefore, the correct answer is h=46.I hope this helps! Let me know if you have any questions.
If a box of anything is £5. 50 for 1kg, what would 320g cost?
Answer:
Your answer is £1,760
Step-by-step explanation:
1 kg = £5.50
5.50 x 320 = 1,760
The freight charge on a shipment of 1200 kg is $84. 0.
Which is the rate per 100 kg?
A $0. 78
B. $4. 00
C. $5. 70
D. $7. 00
E $10. 8
Mrs. G bought 6 boxes of Girl Scout Cookies. 3 boxes had 16 cookies each and 2 boxes has 12 cookies each. If the total number of cookies in all 6 boxes is 102. how many cookies are in the last box? Write an equation to solve.