Answer: 2
Step-by-step explanation:
Answer:
The Radius of the circle of center (-4, 3) is 2.
Radius = 2
Step-by-step explanation:
This is the general form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
Let's convert this to standard form:
[tex]x^2+y^2+8x-6y+21=0[/tex]
[tex]x^2+y^2+8x-6y=-21[/tex]
Group/organize [tex]x[/tex] and [tex]y[/tex] terms:
[tex]x^2+8x+y^2-6y=-21[/tex]
[tex](x^2+8x)+(y^2-6y)=-21[/tex]
Now, let's begin the process to complete the square in both parentheses.
[tex](x^2+8x+16)+(y^2-6y+9)=-21+16+9[/tex]
[tex](x+4)^2+(y-3)^2=4[/tex]
Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
Simplify the following expression.
(9x+ 2) + 5x
Answer:
14x+2
Step-by-step explanation:
9x+5x+2
14x+2
f f (x) = StartFraction x minus 3 Over x EndFraction and g(x) = 5x – 4, what is the domain of (f circle g) (x)?
Answer:
f(g(x))=5-(7/x)
Step-by-step explanation:
f(x)=(x-3)/x
g(x)=5x-4
f(g(x))=((5x-4)-3)/x
f(g(x))=(5x-7)/x
f(g(x))=(5x/x)-7/x
f(g(x))=5-(7/x)
What is the missing number that will complete the
factorization?
6
8
12
24
Answer:
6
Step-by-step explanation:
6xa is 6a, just like how 2xa is 2a as shown
pls help meeeeeeee pls
Determine whether these two triangles are congruent with the ASA congruence method. If so, write the congruence statement. answers: A) ΔFED ≅ ΔGFE B) ΔDEF ≅ ΔGEF C) The triangles aren't congruent using ASA. D) ΔDEF ≅ ΔGFE
Answer:
D) ΔDEF ≅ ΔGFE
Step-by-step explanation:
For ASA to be used, 2 angles and their included side must be congruent. ∠F ≅ ∠E because of the markings, ∠E ≅ ∠F because all right angles are congruent, and side FE ≅ EF because they are aligned with each other. 2 angles and their included side are congruent.
As for the congruence statement, D is the right answer because ∠D ≅ ∠G, ∠E ≅ F, and ∠F ≅ ∠E.
I hope this helps :))
ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Given that,
Two triangles are given with a common side EF whose alternate interior angles are also equal .i.e ∠E = ∠F and also are of 90° in ΔDEF and ΔGFE respectively.
Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
What is congruent geometry?In congruent geometry, the shapes that are so identical. can be superimposed on themselves.
Here,
In ΔDEF and ΔGFE
∠DEF = ∠GFE (both are of 90°)
EF = EF (common side)
∠DFE = ∠GEF (alternate interior angle)
Hence ΔDEF ≅ ΔGFE are congruent by ASA.
Thus, ΔDEF ≅ ΔGFE are congruent with ASA. Option D is correct.
Learn more about similar triangles here:
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Evaluate the expression for x = -3.
x + 4x + 3
-18
B -16
C 0
Answer:
[tex] - 12[/tex]
Step-by-step explanation:
[tex]x + 4x + 3 \: \: \: \: if \: \: \: \: x = - 3 \\ now \\ ( - 3) + 4( - 3) + 3 \\ - 3 - 12 + 3 = - 12[/tex]
question in attachment
Answer:
1. a= 7, A = 49 degrees
Side A = 7 , Side B = 24, Side C = 25
A= 49 degrees, C = 90 degrees , B=41
2. A= 4, B = 6.9, C=8
A= 22 degrees, B = 68, C= 90
3. A= 7, B = 14.4, C=16
A= 45 , B=45 , C=90
Given the original statement "If a number is negative, the additive inverse is positive," which are true? Select three options.
If p = a number is negative and g = the additive inverse is positive, the original statement is p - 9.
If p = a number is negative and q = the additive inverse is positive, the inverse of the original statement is p -9.
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is ~g - p.
If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is perq.
Ulf g = a number is negative and p = the additive inverse is positive, the converse of the original statement is 9 - p.
Step-by-step explanation:
If p = a number is negative and q = the additive inverse is positive, the converse of the original statement is q → p. If q = a number is negative and p = the additive inverse is positive, the contrapositive of the original statement is ~p → ~q.
On a fair, 8-sided die, each face is painted as follows: the 1 and 2 are painted green, 3 through 6 are painted blue, 7 is painted yellow, and 8 is painted gray. If the die is rolled one time, what is the probability that the roll will show an even number AND a face that is painted blue? Provide the final answer as a fraction.
Answer:
0.25
Step-by-step explanation:
outcomes painted in blue: {3, 4, 5, 6}
number of even outcomes painted in blue: 2
number of total outcomes: 8
Therefore, the probability that the roll will show an even number and a face that is painted blue is: 2/8 = 0.25
Find the slope of a line that crosses through (-5,-2) and (9,3)
5 / 14
if you graph the two points, just count the units and put them in a simplified fraction (rise (up or down) divided by run (side to side))
10 Points!!!
Which expression equals the fraction of the square that is shaded dark blue?
Answer:3/8
Step-by-step explanation: First we see that there are 8 squares and that 3 are shaded light blue and 3 are shaded dark blue so 3 out of the 8 squares are dark blue.
Answer:
1/2 * 3/4
Step-by-step explanation:
The product of 7 × b is less than 7 but greater than 0.
b>____
b<____
Pleasee
Answer:
b<1 b>0
Step-by-step explanation:
7b<7
b<1
7b>0
b>0
8. Lilly paid $19.16 for a 1kg apple basket. This amount includes a tax of 3%. What was the cost of the apple before tax?
Answer:
$18.59
Step-by-step explanation:
19.16=100%
0.1916=1%
97(0.1916)
18.59
Answer:
$18.5852
Step-by-step explanation:
Help. I’m thinking this is either b,c,d not sure which one though
Answer:
D
Step-by-step explanation:
A line with slope of 4/5 and y-intercept 1 has the equation y = 4/5x + 1. Since our options are in standard form, let's convert out equation. We get:
5y = 4x + 5
5y - 4x = 5.
Answer:
It's C I THINK but it might be D.
Step-by-step explanation:
please help me i’ve been stuck on this
Answer:
The odd that B draws an ace is 3/51 or 1/17
No, it is independent because they don't know if the card they draws is an ace or not. Because if B take the card first also it would be ace so it isn't dependent i think
the type of food you eat can lead to body odour.
true or false
What is the percent for;
1. 0.47
2. 0.98
3. 0.25
Don't forget the % symbol on your answer.
Answer:
47%98%25%Step-by-step explanation:
First you have to make it into a fraction, then multiply it by 100 :
Q1.
[tex]0.47 = \frac{47}{100} [/tex]
[tex] \frac{47}{100} \times 100 = 47[/tex]
Q2.
[tex]0.98 = \frac{98}{100} [/tex]
[tex] \frac{98}{100} \times 100 = 98[/tex]
Q3.
[tex]0.25 = \frac{25}{100} [/tex]
[tex] \frac{25}{100} \times 100 = 25[/tex]
The enrollment at the 21st Century High School increased from 700
students to 1,200 students over a period of 5 years. What is the
percent increase in enrollment? Round off to the nearest percent.
Answer:
71% = P
Step-by-step explanation:
500/700 = P/100
500(100) =700p
50,000/700 = 700p/700
P=71%
The percent increase in enrollment is, 71.43%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
The enrollment at the 21st Century High School increased from 700 students to 1,200 students over a period of 5 years.
Now,
Increased students = 1200 - 700
= 500
Hence, The increased percent is,
⇒ 500 / 700 × 100
⇒ 71.43%
Learn more about the percent visit:
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Help I will mark brainliest
Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
please need help I will be MARKING as BRIANILIST, thank you so much.
Answer:
Here is the mpg for each 6 cylinder:
(23), (24), (30), (23) ,(21), (20) ,(23), (21) ,(23), (22)
i : between 20-24 = 9/10
ii between 25-29 = 0/10
iii at least 30 mpg = 1/10
c- 38, 28,25,26,24,25
d- the mileage of six cylinder car is less than the mileage of four cylinder cars using the same amount of fuel. it is somehow accurate, other factor that affects is the model of the car and how big it is.
Solve the equation: 9k - 2 - 43
Kristy ask Lonnie to think add 3 to it multiply the sum by 2 and the subtract 6 let n stand for lonnie starting number which expression represents Lonnie final number?
Answer:
2(n+3)-6
n=0
Step-by-step explanation:
2(3+n)-6=
Simplifying
2(3 + n) + -6 = 0
(3 * 2 + n * 2) + -6 = 0
(6 + 2n) + -6 = 0
Reorder the terms:
6 + -6 + 2n = 0
Combine like terms: 6 + -6 = 0
0 + 2n = 0
2n = 0
Solving
2n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Divide each side by '2'.
n = 0
Simplifying
n = 0
Solve the equation 21 + x = 26
Answer:
x = 26 - 21 = 5
Answer:
x=5
Step-by-step explanation: Subtract 21 from both sides. x = 5.
Andre has a bowl of chocolates where 70% of them are milk chocolate and the remaining 30% are
white chocolate. The bowl contains a total of 20 chocolates. If he pulls two chocolates randomly from
the bowl without replacement, which of the following is closest to the probability that they are both
white chocolate?
1) 15.4%
2) 12.0%
3) 9.0%
4) 7.9%
Answer:
4) 7.9%
Step-by-step explanation:
Given:
% of milk chocolate = 70%
% of white chocolate = 30%
Total number of chocolate = 20
Number of milk chocolate:
[tex] \frac{70}{100} * 20 = 14 [/tex]
Number of white chocolate:
[tex] \frac{30}{100} * 20 = 6 [/tex]
From the calculations, we now know there are 14 milk chocolates and 6 white chocolates.
2 white chocolates are picked at random without replacement.
Probability first chocolate picked was white: [tex] \frac{6}{20} = 0.3 [/tex]
Probability second chocolate picked was white: [tex] \frac{5}{19} = 0.2632[/tex]
To find probability that both of them are white chocolates, multiply probability of the first and second.
0.3 * 0.2632 = 0.07896
≈ 0.079
Convert to percentage by multiplying by 100.
0.079 * 100 = 7.9%
The probability that they are both
white chocolate is 7.9%
Please help. 10 points. Identify the common difference OR common ratio, depending on whether the sequence below is arithmetic or geometric. Then use the appropriate formula to write a rule for the sequence. Finally, use the rule to find the tenth term in the sequence.
–15, –9, –3, 3, 9, ...
Answer:
hope this helps! please mark brainliest
Step-by-step explanation:
The COMMON DIFFERENCE is 6
so it's a arithmetic sequence.
The formula is an = a1 + (n-1)d
to find the 10th term: a10 = -15 + (10-1)6
the 10th term is 39
*a1 = the 1 is supposed to go underneath it but can't type it on computer
*an = the n is supposed to go underneath it also
Alan can run 5 miles in 40 minutes. If he maintains the same pace, what is the greatest number of miles he can run in 160 minutes?
A. 40
B. 60
C. 20
D. 30
Answer:
C)20
Step-by-step explanation:
Cuz 160/8 is 20
hey guys can uhelp me with my question please help no one is answering :(
Answer:
Step-by-step explanation:
1)
m=(y2-y1)/(x2-x1)
m=(9-0)/(7-4)
m=9/3
m=3
2)
m=(y2-y1)/(x2-x1)
m=(4-2)/(6-9)
m=2/(-3)
m=-2/3
3)
m=(y2-y1)/(x2-x1)
m=(3-(-1))/4-4)
m=4/0
m=undefined
(vertical line)
A cylinder has a volume of 24 cubic feet. Which of the following could have the same radius and height as the cylinder? A A cone with a volume of 32 cubic feet B A sphere with a volume of 18 cubic feet C A cone with a volume of 72 cubic feet D A cone with a volume of 8 cubic feet
Answer:
A. a cone with a volume of 32 cubic feet
Step-by-step explanation:
An animal shelter relies on
donations and adoption fees of
$75 per pet to pay its monthly
expenses of $2800. One month 12
pets are adopted. Which inequality
describes the donations, x,
required for the shelter?
Answer:
Step-by-step explanation:
x ≥ 2800
12*75=900
900< x