Step-by-step explanation:
x² + y² - 14x + 4y + 52 = 0
(x - 7)² - 49 + (y + 2)² - 4 + 52 = 0
(x - 7)² + (y + 2)² = 1
Hence the circle's center is (7, -2) and the radius is 1.
Explain the survival of the fittest.
Answer:
Survival of the Fittest
There has been gradual evolution of life forms with new forms arising at different periods of history. Any population has built-in variations in characteristics which adapt it better to environment.The characteristics which enable some population or individuals to survive better in natural conditions (climate, food, physical factors) would out-breed others (Survival of the fittest).Adaptability is inherited and fitness is the end result of ability to adapt and get selected by nature.study the function table. HELP PLEASE
Answer:
E. y=x+3
Step-by-step explanation:
just add 3 to the value of x and if you get the result as same as the value of y, it is the correct answer..
Which is the correct algebraic expression for each phrase?
(Image)
Please answer ASAP!
Answer:
10. G. d - 15
11. D. d ÷ 2
12. F. 2.5p
Hope that helps.
Desiree writes songs for her band her first song is 3 1/2 minutes long her second song is one 1/2 times as long as her first song her third song is 2/3 times as long as her second song how many minutes long are the second and third songs
Answer:Number of minutes of second Song = 5 1/4 minutes
Number of minutes of third Song =3 1/2 minutes
Step-by-step explanation:
Number of minutes of First Song = 3 1/2 minutes
Number of minutes of second Song = one 1/2 times as long as her first
= 1 1/2 X 3 1/2 minutes
3/2 X 7/2
21/4 = 5 1/4 minutes
Number of minutes of third Song = 2/3 times as long as her second song
2/ 3 x 5 1/4
= 2/3 x 21/4 =42/12
Dividing the numerator and denominator by 3 to reduce the fraction
42/ 12 / 3/3 = 14/4
14/4 = 3 2/4 = 3 1/2 minutes
The yearbook club had a meeting. The club has 30 people and three fifths of the club showed up for the meeting how many went to the meeting
Answer:
there are 45 people in the group
2/3xA=30
2A=30x3
A=90/2
A=45
Carrie has 11 more glass animals than Naomi, who has g animals.
Evaluate the expression g + 11 for g = 4 to find how many glass animals Carrie has.
A coordinate plane. Use the coordinate plane to plot the points (6, 0) and (0, 5). Which statement is true? (0, 5) is located on the x-axis. (0, 5) is located at the origin. (6, 0) is located on the x-axis. (6, 0) is located at the origin.
Answer:
The correct option is (6, 0) is located on the x-axis.
Step-by-step explanation:
Given that we plot (6, 0) and (0, 5) on the xy–plane. We know that in (6, 0) 6 is the x-coordinate and 0 is the y-coordinate while in (0, 5) 0 is the x-coordinate and 5 is the y-coordinate.
Therefore, (6, 0) can be found on the x–axis not on the origin because it has shifted from 0 to 6 and (0, 5) can be found on the y-axis not on the origin because it has shifted from 0 to 5.
Hence, the correct option is (6, 0) is located on the x-axis.
Answer:
x-axis
Step-by-step explanation:
Given m
n, find the value of x and y.
m
yo
(8x+12)
(3x-8)
Answer:
x = 16, y = 140
Step-by-step explanation:
(8x + 12)° and (3x - 8) are adjacent angles and are supplementary, sum to 180°
8x + 12 + 3x - 8 = 180
11x + 4 = 180 ( subtract 4 from both sides )
11x = 176 ( divide both sides by 11 )
x = 16
Then
8x + 12 = 8(16) + 12 = 128 + 12 = 140
(8x + 12) and y are alternate angles and are congruent , so
y = 140
Find the median age of a group of 8 people whose ages
in a years are as follow:
47, 61, 13, 34,56, 22,30,20
Answer:
32
Step-by-step explanation:
since the question has an even number of age groups, we have to find the two middle numbers which are 30 and 34, add them together and then divide that answer by 2
30 + 34 = 64
64 ÷ 2 = 32
Michael had $150 in the bank yesterday. Then, Michael bought an expensive designer jacket for $180, but
didn't realize that he overdrew from his bank. His account balance was negative now and he was in debt!
What is the absolute value of his new account balance?
Answer:
he now owes $30 so negative $30
Step-by-step explanation:
. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both types of machines were bought, for $53,600. How many arcade game machines did the park buy ?
Answer:
maybe 900 arcade games..good luck
find the equation of the line passing through point (3,5) and with slope = 1/3
a) y=1/3x+4
b) y=-1/3x+4
c) y=3x-5
d) y=1/3x+5
Answer:
A. y = 1/3 x + 4Step-by-step explanation:
The standard form of equation of a line in point slope form is expresses as
y - y0 = m(x-x0)
m is the slope
(x0, y0) is a point on the line
Given
m = 1/3
(x0, y0) = (3, 5)
Substitute into the equation
y - 5 = 1/3 (x-3)
3(y-5) - x-3
3y - 15 = x-3
3y = x-3+15
3y = x+12
y = 1/2 x + 12/2
y = 1/3 x + 4
Hence the require equation of the line is y = 1/3 x + 4
Help meeeeee. Ksjsjsjs:(
Answer:
a rule to know: a median divides the side into equal parts.
we know:
PR = -2a + 34
SR = 2a + 26
- based on the rule, SR is half of PR. in other words, PR is two times greater than SR.
so,
2SR = PR (now simply pluggin the expressions we have)
2(2a + 26) = -2a + 34 (solve the equation like any other equation prob.)
4a + 52 = -2a + 34
6a + 52 = 34
6a = -18
a = -3
- inorder to check if this is correct, simply reverse what we did. so pluggin the value of a to see if its correct.
How would I find 86% of 950?
Answer:
86% of 950 is 817
Step-by-step explanation:
You convert the fraction into a decimal by moving the point two spaces to the left. You then multiply .87 by 950 to get 817
Michela’s skateboard ramp is at an incline of 40°. When she attempts a trick on the ramp, she finds that it is too steep. She adjusts the ramp to half of the original incline. What is the measurement of the incline now?
Answer:
22.7604763 degrees
Step-by-step explanation:
Note that the answer is NOT 20 degrees.
She adjusted the ramp to half the original incline
Therefore we have tan 40 = x = 0.839099631.
We want an incline of y degrees where tan y = x/2 = 0.839099631/2 = 0.419549815
Taking the arctan of both sides, we get
y = arctan(0.419549815) = 22.7604763 degrees
hey i need help whit this problem Karla has problems with her spine and the doctor
she recommended not to carry weights greater than 5.5 kg. The end
Karla went to the market and loaded the following
items: 1 2/5 kg of oranges, 580 grams of ham,
1/5 kg of cheese, 1.2 kg of chicken, 3⁄4 kg of meat,
a 425 gram can of slices, a toilet soap
125 grams and 1⁄2 kg of tortillas.
Answer:
What is the question?
Step-by-step explanation:
If 2x – 2.12 = 9.88, what is the value of x? I need step-by-steps
Answer:
x=6
Step-by-step explanation
2x-2.12=9.88
+2.12 +2.12
2x = 12
12 divided by 2 is 6
x=6
To check you can do 12-2.12=9.88
20+64 distributive property
Wouldn't it still just be 84 with or without the distributive property? :0
2(5+5)+2(16+16)
Step-by-step explanation:
lol and ignorw this wifnsnsjwjs
Can someone pls help me on this. I'll give BRAINLIEST
Answer:
i think the answer is 9
Step-by-step explanation:
(2x-1)=17
2x=17+1
x=18/2
x=9
If a triangle has two angles that measure 25 degrees each, what must be the measure of the
third angle?
Answer:
Step-by-step explanation:
Add up the two known angle measurements. All you have to know is that all of the angles in a triangle always add up to 180°. This is true 100% of the time. So, if you know two of the three measurements of the triangle, then you're only missing one piece of the puzzle. The first thing you can do is add up the angle measurements you know. In this example, the two angle measurements you know ...
Subtract this number from 180°. The angles in a triangle add up to 180°. Therefore, the remaining an…
A shop has a 15% sale. Originally a computer cost £275. How much does the computer cost in the sale?
Answer:
41.25?
Step-by-step explanation:
5%=13.75
10%=27.5
15%=41.25
Reasoning The product of two factors is 4,200. If one of the factors is 60, what is the other factor? Explain.
Answer:
70
Step-by-step explanation:
Let's say something multiplied by 60 = 4,200
We will represent something with Y
Then,
Y × 60 = 4,200
60Y = 4,200
Divide both sides by 60, then we'll have
60Y/60 = 4,200/60
Y = 4,200/60
Y = 70
Therefore, the other factor is 70
Question in image. The bottom number is what you’re writing in terms of.
9514 1404 393
Answer:
log₃(7) -2·log₃(5)
Step-by-step explanation:
The applicable rules of logarithms are ...
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
__
You have ...
[tex]\log_3\dfrac{7}{25}=\log_3{7}-\log_3{25}=\log_3{7}-\log_3{5^2}\\\\=\boxed{\log_3{7}-2\log_3{5}}[/tex]
Erika is baking cupcakes. The recipe calls for 14 cups of
sugar for the batter, and for the frosting. About how
many total cups of sugar will Erika need for her recipe?
Answer:
20
Step-by-step explanation:
Answer:
she will use about 28 cups of sugar
Step-by-step explanation:
14*2=28
Which object covers less area?
Object A: a parallelogram with a base of 3 cm and a height of 9 cm.
Object B: a parallelogram with a base of 5 cm and a height of 6 cm.
Answer:
give him brain
Step-by-step explanation:
hi hi hi hi hi
2.5m to 150 cm
express these ratios in its simplest form.
Answer:
The ratios in the simplest form is 5:3
Step-by-step explanation:
Given that:
2.5m to 150cm
We have to express these ratios in simplest form but we will convert the quantities into same unit first.
Therefore,
Converting meters into centimeters
1 meter = 100 cm
2.5 m = 100*2.5 = 250 cm
Ratio form;
250 cm : 150 cm
As both the number are multiples of 50,
[tex]\frac{250}{50}:\frac{150}{50}\\5:3[/tex]
Hence,
The ratios in the simplest form is 5:3
O A box contains 40 oranges, 12 of which are
unripe. I pick one at random.
What is the probability that it is
a ripe
b unripe?
Step-by-step explanation:
Nø of sample space, n(s) = 40
nø of unripe oranges, n (u) = 12
no of ripe oranges, n (r) = 40 - 12 = 28
Now
The probability that it is ripe is, P(E)
= n(r) / n(s)
= 28 / 40
= 7 / 10
Also the probability that it is unripe is, P(E)
= n(u) / n(s)
= 12 / 40
= 3 / 10
Hope it will help :)❤
Hurryyyz
Solve the following equations
2. 35 = 2x + 5
3. 4x - 7 = 73
part one of this would be x=6;
2x6 is 30
30+5 is 35
part two of this would be x=20;
20x4 is 80
80-7 is 73
Answer:
x = 15 and x = 20
Step-by-step explanation:
(2)
35 = 2x + 5 ( subtract 5 from both sides )
30 = 2x ( divide both sides by 2 )
15 = x
(3)
4x - 7 = 73 ( add 7 to both sides )
4x = 80 ( divide both sides by 4 )
x = 20
The function below represents the cost to rent x movies a month from an internet movie club. Mickey now has $10.00
How much more does Mickey meed to rent seven movies next month?
fx-2x + 12
Expand and combine like terms. (8n^2+3n^7)(8n^2-3n^7)
Answer:
64n⁴ - 9n¹⁴
General Formulas and Concepts:
Algebra I
Terms/Coefficients/DegreesExpand by FOIL (First Outside Inside Last)Exponential Rule: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(8n² + 3n⁷)(8n² - 3n⁷)
Step 2: Expand
FOIL: 64n⁴ - 24n⁹ + 24n⁹ - 9n¹⁴Combine like terms: 64n⁴ - 9n¹⁴