Answers
Answer:
Point of intersections are (0, -7) and (5, -2).
Step-by-step explanation:
From the graph attached,
A straight line is intersecting the circle at the two points (0, 7) and (5, -2).
Now solve algebraically,
Equation of the line → y = x - 7 -------(1)
Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)
By substituting the value of y from equation (1) to equation (2)
(x - 5)² + (x - 7 + 7)² = 25
(x - 5)² + x² = 25
x² - 10x + 25 + x² = 25
2x² - 10x = 0
x² - 5x = 0
x(x - 5) = 0
x = 0, 5
From equation (1),
y = 0 - 7 = -7
y = 5 - 7 = -2
Therefore, point of intersections are (0, -7) and (5, -2).
Related Questions
Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
Answers
Answer:
Colleen alone to clear the yard of leaves in 40 minutes
Step-by-step explanation:
P.S - The exact question is -
Given - Seas and Colleen are raking leaves in their yard. Working together they can clear the yard of leaves in 24 minutes. What kind of long it would take Sean 20 minutes longer to clear the yard dinner with Colleen working alone
To find - When c is the number of minutes it would take Colleen to finish the job when working alone, the situation is modeled by this rational equation: How long would it take Colleen alone to clear the yard of leaves?
Proof -
Given that the equation is -
[tex]\frac{1}{c} + \frac{1}{c+20} = \frac{1}{24} \\\frac{c + 20 + c}{c(c+20)} = \frac{1}{24}\\\frac{2c + 20}{c^{2} +20c} = \frac{1}{24}\\24(2c + 20) = c^{2} +20c\\48c + 480 = c^{2} +20c\\28c + 480 = c^{2}\\c^{2} - 28c - 480 = 0\\c^{2} - 40c + 12c - 480 = 0\\c(c - 40) + 12(c - 40) = 0\\(c+12)(c-40) = 0\\c = -12, 40[/tex]
As time can not be negative
So,
we get
c = 40 minutes
∴ we get
Colleen alone to clear the yard of leaves in 40 minutes
How do I ask questions?
2+2=?
Answers
Answer:
u just asked 2 questions so..... you typed them? i really dont understand ur question but 2 + 2 =
Step-by-step explanation:
loll
Answer: you just did
Step-by-step explanation:
you just sked a question
2+2=fish
2+2=4
a net shows faces and helps you find surface area
Answers
Answer:
Correct
Step-by-step explanation:
Multiplying Integers
-5(-2)=
Answers
Answer:
10
Step-by-step explanation:
Hope this helps
Answer:
10
Step-by-step explanation:
-5(-2)
negative times negative in multipling and divding the answer is always a positive
Hi what is 2+2 don't answer that but hi I'm Layla
Answers
The answer is 4! Please give brainliest it is very easy question and answer unless you're a few months old, which you're probably not that smart to be here. Anyways, go continue whatever else ur doing i guess
Jocelyn was able to get a great interest rate on her house. She financed $150,000 for 15 years with an interest rate of 2.75%.
How much will she pay in interest over 15 years?
61,875
By the time she pays off her mortgage, how much total will she have spent for her house?
Answers
Answer:
She will pay $33,228 in interest over 15 years for a mortgage of $150,000 with an interest rate of 2.75%.
By the time she pays off her mortgage in 15 years, she will have spent $183,228 total for her house.
Step-by-step explanation:
Amir made an 8 by 6 array of cupcakes.Then he broke it into two smaller arrays.Which two products can Amir all to find the total number of cupcakes?
Answers
Answer:
48
Step-by-step explanation:
All you need to do since this is an array all you need to do is multiply the 2 smaller ones together.
What is the measured of bacteria at t=0?
Answers
Answer:
Number of bacteria when t = 0 is 2,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 0
where t is number of hours
Find:
Number of bacteria when t = 0
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0
Q(0) = 2(729⁰)
We know that;
a⁰ = 1
So,
Q(0) = 2(729⁰)
Q(0) = 2(1)
Q(0) = 2
Number of bacteria when t = 0 is 2,000
find the least whole number which must be added to 207 to make it divisible by 17 please no links brainliest
Answers
Answer:
14
Step-by-step explanation:
I am preatty sure its 14 hope this helps
plss heeelppppppppppppppp
Answers
Answer: I believe its all of them...
Step-by-step explanation:
Answer:
that is a trapezoid.if it were a rectangle it would have four sides but not equal if it was a square it would have four sides but equal.a parallelogram it would be seen somehow slopy and a rhombus too.so that is a trapezoid.
What is the value of x ?
Answers
Answer:
x= - square root 141 or x= square root 141
What's the mean of data set 15, 17, 23, 19,
Answers
Step-by-step explanation:
15 + 17 + 23 + 19
32 + 42 = 74
74/4 = 18.5 is the mean
Answer:
Mean= 18.5
Step-by-step explanation:
How to Find the Mean
Add up all data values to get the sum
Count the number of values in your data set
Divide the sum by the count
The mean is the same as the average value in a data set.
Mean Formula
The mean x of a data set is the sum of all the data divided by the count n.
Scores on the GRE (Graduate Record Examination) are normally distributed with a mean of 573 and a standard deviation of 84. Use the 68-95-99.7 Rule to find the percentage of people taking the test who score between 489 and 573
The percentage of people taking the test who score between 489 and 573 is
Answers
Answer:
The percentage of people taking the test who score between 489 and 573 is 34%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 573, standard deviation of 84
Percentage of people taking the test who score between 489 and 573
The mean is 573.
489 = 573 - 84, which means that 489 is one standard deviation below the mean.
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are below the mean.
So between one standard deviation below the mean and the mean, the percentage is 68/2 = 34%
The percentage of people taking the test who score between 489 and 573 is 34%.
I need work to be shown
Answers
Step-by-step explanation:
I am sure you are 100 percent Clear.
Thanks.
Have a nice day :)
Shelly bought a dozen pens for $144.
(a) Find the cost of 15 such pens.
(b) How many pens can be bought
for $84?
Answers
Answer:
A. 180
b. 7
Step-by-step explanation:
Answer:
a. $180
b. $7
Step-by-step explanation:
In order to easily find the cost of x amount of pens, first find the unit price:
The unit price is the price for 1 of somethingTo find how much 1 pen is, divide 144 ÷ 12 (1 dozen = 12)144 ÷ 12 = 121 pen = $12Part A - Find the cost of 15 pens:
Since we've just found the price of 1 pen, multiply the price by 1512 × 15 = $18015 pens cost $180 (outrageous!)Part B - How many pens can be bought for $84?:
Since we know the cost of 1 pen is $12, we can work backwards on this stepTo find the amount of pens that can be bought with $84, divide 84 ÷ 1284 ÷ 12 = 77 pens can be boughtBen is taking a typing class, and the following line graph represents the number of words per minute he was able to type each week. According to the graph, how many more words per mioute could Ben type in week four than in week 2?
A. 20
B. 15
C. 10
D. 5
Answers
I hope this helps you !!!!!
plz help i need to know 94=10a-7 and 7k+10=31
Answers
Answer:
a=10.1
k=3
Step-by-step explanation:
Lets solve the first equation first.
94=10a-7
Lets add 7 to both sides.
101=10a
Divide both sides by 10 to isolate a
101/10=a
a=10.1
Lets do the second equation.
7k+10=31
Subtract 10 from both sides
7k=21
Divide 7 by both sides to isolate k
k=3
First use front end rounding to round each number and estimate the answer. Then find
the exact answer.
6.48
X 1.8
Answers
Answer:
Step-by-step explanation:
The answer should be somewhere near 6* 2 = 12 which is the first answer. Do not put an exact answer when you are asked for an estimate.
The exact answer is 6.48 * 1.8 = 11.664 which makes 12 look like a pretty good estimate.
need help ASAP
DONT PUT LINK! I will REPORT YOU
Answers
the answer that you're looking for is 5.5 or 5 1/2, it's the same thing.
A bicycle is $240 and the sales tax is 9%. How much money is the tax?
Answers
Answer:
$21.60
Step-by-step explanation:
240 x .09 = 21.60
Which quantity is unknown
Answers
Answer:
The price of each book without sales tax
Step-by-step explanation:
Is the sequence arithmetic? If so, identify the common difference.
13, 20, 27. 34, ...
Answers
Answer:
the common difference is = 7
Step-by-step explanation:
1st term is 13
2nd term is 20
d = 2nd -1st
d= 20-13
d= 7
Answer:
Yes . It is arithmetic & the common difference of them is 7 .
Step-by-step explanation:
Hope this helps ;)
Choose the ratio in simplest form. 8:2
Answers
Answer:
4:1
Step-by-step explanation:
what is the total area of the shape below
Answers
Answer:
480 ft
Step-by-step explanation:
480ft²
explanation:
first of all, find the area of the rectangle as it is the easiest.
So, do A = L x W.
A = 24 x 15
= 360ft²
Then find the area of half of the triangle.
So, do A = 1/2 x b x h
The length of the base of the full triangle (aka top of the rectangle) is 24ft so since we are finding the area of half of the triangle all you have to do it half 24 (12). (also 1/2 is the same as 0.5)
So the equation for that would be
A = 1/2 x b x h
= 1/2 x 12 x 10
= 1/2 x 120
= 60
So now, to find the area of the whole triangle, times 60 by 2 (as both of the halves are the same) which gives you 120.
Finally, to find the area of the WHOLE shape, do 360ft² + 120ft² which gives you 480ft².
Hope this helps :)
Which of the following is used by a seller to deceive a buyer? a. bait and switch b. contest c. display d. introductory offer
Answers
Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How many sweets are there altogether?
Answers
9514 1404 393
Answer:
60
Step-by-step explanation:
Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.
There are 60 sweets altogether.
_____
They are divided as ...
Gavin: 20Colin: 25Dan: 15A publisher reports that 35% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 190 found that 32% of the readers owned a laptop. Is there sufficient evidence at the 0.10 level to support the executive's claim
Answers
Answer:
The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
Step-by-step explanation:
A publisher reports that 35% of their readers own a laptop.
This means that the null hypothesis is:
[tex]H_0: p = 0.35[/tex]
A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.
This means that the alternate hypothesis is:
[tex]H_{a}: p \neq 0.35[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.35 is tested at the null hypothesis:
This means that [tex]\mu = 0.35, \sigma = \sqrt{0.35*0.65}[/tex]
A random sample of 190 found that 32% of the readers owned a laptop.
This means that [tex]X = 0.32, n = 190[/tex]
Z-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}[/tex]
[tex]z = -0.87[/tex]
pvalue of the test and decision:
As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87
Looking at the z-table, z = -0.87 has a pvalue of 0.1922
2*0.1922 = 0.3844
0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim
If A =
( 8 10 -6)
(-8 -10 7)
( 2 -2 -2)
and B =
( 5 1 9)
(-9 -8 10)
(-10 6 -2),
find -7A + 3B
Answers
9514 1404 393
Answer:
see below
Step-by-step explanation:
Carry out the math element by element. For example, ...
c11 = -7a11 +3b11
c11 = -7(8) +3(5) = -41
_____
Additional comment
Matrix operations like this one are easily handled by all spreadsheets and most graphing calculators. Some scientific calculators support matrix operations as well.
125 a la octava potencia?
please lo necesito
Answers
If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?
Answers
Answer:
1/4 of however many cups of onions she starts with
Step-by-step explanation:
I see no attachment and it doesn't say in your question how many onions she has. All you have to do is take the total amount of onions and divide it by 4 since she is splitting her total into 4 pots.
