At what point does the graph of 3x + 4y = 15 intersect the graph of x^2 + y^2 = 9? Express any non-integer coordinate as a common fraction.
Answer
12 and 36 and 13
If you need an explanation;
let's first isolate x in 3x + 4y = 15 ---
x = (15 - 4y) / 3
now substitute as x in the second equation provided ---
((15 - 4y) / 3)^2) + y^2 = 9,
((15 - 4y) / 3)^2) +( 3y/3)^2 = 9,
((15 - 4y)^2 + (3y/3)^2)/3^2 = 9,
225 - 120y +25y^2/9 = 9,
225 - 120y +25y^2 = 81,
25y^2 - 120y + 144 = 0
we now solve using the quadratic formula ---
[tex]y_{1,\:2}=\frac{-\left(-120\right)\pm \sqrt{\left(-120\right)^2-4\cdot \:25\cdot \:144}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\=\frac{-\left(-120\right)\pm \sqrt{0}}{2\cdot \:25}\\\\= 12/5[/tex]
So then x = (15 - 4*12/5)/3 = 9/5. Our solution = (9/5, 12/5)
helpplehelpplehelppleh
Right triangle ABC is shown below.
On a coordinate plane, a line goes through (0, negative 2) and (3, 1). Triangle A B C has a rise of 4 and run of 3.
A similar right triangle would be created by a rise of 8 and a run of
Answer:
6
Step-by-step explanation:
Im not to sure theirs not enough information
What's the measure of ABD, DBK, and KBC? Show all work.
Please, I need help with this. It's due by 9:00 and it's already 7:00 where I live ;-;
Answer:
56.6
Step-by-step explanation:
Since BK is a bisector of ABC at B,
this implies that:
ABC = ABK + KBC
ABC = 28.3 + 28.3
ABC= 56.6
Why is place value important when you add and subtract decimals?
Answer:
so u dont subtract 5 from.6 like
Step-by-step explanation:
.6 .6
-5 make it -5.0
brainlyest
Answer: bc it lets u see how accurate the numbers are in other in written from u can get 10 and 2 ixed up due to place vaule not in the right slot
Im not sure how to explain my question in words so its in the file below-
;-;
Answer:
C
Step-by-step explanation:
The arrow is pointing right is it is greater than which means that A and B are out. And for
D, -4 is not greater than -3 so D is also out which leaves only C
and -2 is greater than -3
Answer:
C. is correct
Explenation:
Don't know how to explain it but i'll try
-2 is greater than -3 because -3 is on the left of -2 so that means it is greater.
Mr. Schy rollerbladed 24 miles in 4 hours. How many miles did Mr. Schy rollerblade in one hour? I know this already just say the answer for a free brainiest
Answer:
6 miles in one hour
Step-by-step explanation:
The area of the rectangular park is 148.75 feet. If the width is 7 feet what is the length?
How to solve:
Take 148.75 feet and divide by 7 feet in order to find the length.
Answer:
21.25 = length
Step-by-step explanation:
Take 148.75 feet and divide by 7 feet in order to find the length.
Mr. Martinez is comparing the price of oranges from several different markets. Which market’s pricing guide is based on a constant unit price? a,b,c or d
Answer:
the answer is D
Step-by-step explanation: if you look at it the only answer that is changing by the same number consistently is the letter D. the rate is 3.00 for every 5 oranges
True or False?
Any set of ordered pairs is called a relation.
Answer:
true
Step-by-step explanation:
HELPPPP looks at the image and EXPLAIN
Answer:
The answer is D
Step-by-step explanation:
160 is 4 times more the 40 so 57 time 4 is 228
Answer: 228
Step-by-step explanation:
If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?
Answer:
4.11
Step-by-step explanation:
ez math
Mike used the computation StartFraction 7 Over (6 + 8 + 7) almost-equals 0.33 = 33 percent to find the percentage of eighth-grade band members who can play more than one instrument. What error did Mike make?
A. Mike included 7 when finding a sum to use as the denominator of his fraction.
B. Mike used the total of the column containing 7 as his denominator instead of the total of the row containing 7.
C. Mike should have used the sum of all the cell values as his denominator.
D. Mike should have used the number of eighth-grade students who can only play one instrument as the denominator of his fraction.
I'm pretty sure the answer is A
Answer:
a on edge
Step-by-step explanation:
help, please :D I'm desperate
Answer:
a.36
b.48
c.15
Step-by-step explanation:
From 76 inches to 21 inches
Answer:
55 inches
Step-by-step explanation:
76-21=55
Answer:
noice!
Step-by-step explanation:
PLZ HALP ME!!! eek
I will give brainliest, 5 stars, and a thanks
Answer: x = 6
Step-by-step explanation:
Happy Thanksgiving to everyone
Answer:
same to you ...............
Answer:
Happy Thanksgiving to everyone
In the diagram below, line AB is parallel to line CD. The measure of
∠∠ABC is 28° and the measure of ∠∠EDC is 42°. Find the measure of∠∠CED. Explain why you are correct by presenting an informal argument that uses the angle sum of a triangle.
what is the measure of ∠∠CED is ? And Explain why ?
Answer:
ced is 110 degrees
Step-by-step explanation:
because ECD is 28 degrees and 28+42=70 and a triange always = 180 degrees so it would have to be 110
The measure of ∠CED is 110 degrees by angle sum property of the triangle.
We are given that line AB is parallel to line CD.
The measure of ∠ABC is 28° and the measure of ∠EDC is 42°
What are exterior angles?An exterior angle is a measure of rotation between one extended side(we extend it virtually) of the polygon with its adjacent side which is not extended.
We know that line AB is parallel to line CD.
So according to alternate interior angles measure of ∠ABC is 28° will be equal to BCD.
Thus, Angle BCD= 28 degrees
Hence, in a triangle CED
∠CED + ∠EDC + BCD = 180
∠CED + 28 + 42 = 180
∠CED = 180 - 70
∠CED = 110 degrees
Therefore, the measure of ∠CED is 110 degrees by angle sum property of the triangle.
Learn more about interior and exterior angles here:
https://brainly.com/question/14173422
#SPJ2
The first person to answer this correctly get Brainliest
All three points are displayed on the line. Find an equation relating x and y.
the equation has to be X= and Y= and then fine the slope
Andrew has 3 1/6 rows of plants left to water. If Andrew has 9/10 gallons of water in his bucket, how many gallons of water can Andrew use for each row of plants? Answer with a fraction in simplest form.
can anybody help?
Answer:3 gallons of water can Andrew use for each row of plants?
Step-by-step explanation:
Which of the following expressions are equivalent to the one below? 12x(16+4)
Answer:
b, c, d
Step-by-step explanation:
b=240
c=240
d=240
mark brainliest if helped :)
Answer:
b,c,d
because 12•(16+4)=240 and so do b,c and d
What is the ratio of the number of days in the week that begin with the letter "T" to the number of days in the week that do not begin with the letter "T"?
7 over 2
2:5
5 over 7
2 to 7
If you answer correctly you get brainliest!!
Answer:
2:5
Step-by-step explanation:
Answer:
2:5
Step-by-step explanation:
I’m really stupid. I need help
Answer:
#7
1 box per 30 pounds
#8
1 notebook per 1.89 dollars
Step-by-step explanation:
Answer:
7. 30 8. 1.89
Step-by-step explanation:
30/1=30
9.45/5=1.89
Your grandparents give you $1000 for your tenth birthday to invest for your college education. You research some investment companies around town and find one that pays you 4.2% and compounds quarterly. If you leave the money in your account until your 18th birthday, how much money will you have? Show all your work.
Answer:
33,600
Step-by-step explanation:
1000 × 4.2 = 4200 x 8 = 33,600
Suppose f(x) = 2x + 4. Describe how the graph of g compares with the graph of f. g(x) = f(x) + 8
Answer:
the aswer is 54
Step-by-step explanation:
Please help I really need it thx!!
Answer:
a- (0,6)
b- (2,8)
c- (6,7)
d- (3,4)
d- (5,2)
Answer:
a- (0,6)
b- (2,8)
c- (6,7)
d- (3,4)
e- (5,2)
Step-by-step explanation:
All you need to do is go up to the letter and then from where the letter sits. look at the number to left and put it as the bottom number first and the number towards the left at the end like this ex: (8,2)
Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have?
A.
x + 5 = (5 − x) − 5, which has one solution
B.
x + 5 = (x + 5) − 5, which has infinitely many solutions
C.
x + 5 = (x + 5) − 5, which has no solution
D.
x + 5 = (5 − x) − 5, which has infinitely many solutions
E.
Answer:
Jenna's age Jessica's age
today x x + 5
in 5 years x+5
5 years ago x + 5 - 5
Equality x + 5 = x + 5 - 5
=> x + 5 = x
The equation is x + 5 = x
That equation has not any solution, because it reduces to 5 = 0, which is an absurd.
So, the conclusion is that information given by Jenna is wrong.
It is logical: if the difference of the ages is 5, in five years Jenna will have 10 years more than what her sister had 5 years ago, no 5 as she told Jessica.
Answer:
(x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions
Step-by-step explanation:
What is the value of this expression?
(−4)4
Answer:
-16
Step-by-step explanation:
a negative multiplied by a positive is negative
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?
(Image attached if needed)
help me plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
for the second space add a zero then multiply 5x5 and 5x2 add that and move the decimal 2 places to the left its infront of your addition answer.
Step-by-step explanation: