20 POINTS !!
x^2+y^2+2x+2y=0
x^2+y^2+2x+6y+9=0 solve each system using substitution
Will mark brainlyest if steps are provided
Answer:
Step-by-step explanation:
x²+y²+2x+2y=0 ...(1)
x²+y²+2x+6y+9=0 ...(2)
subtract (1) from (2)
x²+y²+2x+6y+9-(x²+y²+2x+2y)=0
x²+y²+2x+6y+9-x²-y²-2x-2y=0
4y+9=0
4y=-9
[tex]y=-\frac{9}{4}[/tex]
put in (1)
[tex]x^{2} +(-\frac{9}{4} )^2+2x+2(-\frac{9}{4} )=0\\x^{2} +2x+\frac{81}{16} -\frac{9}{2} =0\\x^{2} +2x+\frac{81-72}{16} =0\\x^{2} +2x=-\frac{9}{16} \\adding 1 \\x^{2} +2x+1=-\frac{9}{16} +1\\(x+1)^2=\frac{-9+16}{16} \\x+1=\pm\sqrt{\frac{7}{16} } \\x=-1 \pm\frac{\sqrt{7} }{4} \\x=\frac{\sqrt{7} -4}{4} \\and\\x=\frac{-\sqrt{7} -4}{4}[/tex]
solution is ((√7-4)/4,-9/4)
and ((-√7-4)/4,-9/4)
Mackenzie spent $20 at the local farmer’s market. She bought b pounds of blueberries that cost $4 per pound, and r pounds of raspberries that cost $6 per pound. She wrote the equation 4 b + 6 r = 20 to represent the cost of all the fruit. Which is equivalent to Mackenzie’s equation?
b = 5 minus three-halves r
b = 80 minus 240 r
r = StartFraction 10 Over 3 EndFraction + two-thirds b
r = 120 + 240 b
Answer:
the first option; b = 5 minus three-halves r
Step-by-step explanation:
4b+6r=20
4b=20-6r
b=5-3/2r
Answer: A
Step-by-step explanation: This is the answer for edge 2021 im a student
simplify |-4/5-1/10| + |-3/4+5/2|
Answer:
2 13/20
Step-by-step explanation:
53/20
Simplify
2 13/20
1 2/5m-3/5(2/3m+1) pls help me I need to simply it
In fraction form: -(3/5)
Decimal form: -0.6
Hope this helps!
Mother is M years old, and she is 4 times as old as her daughter, her age is x+8/x. how much older is the mother than her daughter, Mary?
[tex]4(x + \frac{8}{x}) - (x + \frac{8}{x}) = 3(x + \frac{8}{x}) = 3x + \frac{24}{x}[/tex]
ok done. Thank to me :>
What is an equation of the line perpendicular to y =-3x - 5
that contains (-3,7)
Answer:
y=1/3x-5
Step-by-step explanation:
when it is perpendicular you just flip the -3x and he its reciprocal
help need it done for tomorrow
Step-by-step explanation:
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
with the sides being opposite to the angles.
so,
14/sin(80) = x/sin(60)
x = 14×sin(60)/sin(80) ≈ 12.3cm
there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00
( ill give brainly to whoever answer first w an explanation)
Answer:
desculpa,mais eu preciso de ponto para ajudar meu irmão
Simplify, write your answer as a power
Answer:
1. 5⁴
2. d¹⁰
3. w⁶
.15 x (-0.6)
help me please
The answer is −0.09
It should be simple multiplication.
I hope this helps!
anybody know this at all?
Answer:
perimeter = 4x³ + 3x² + 2
Step-by-step explanation:
perimeter = sum of the lengths of the sides
perimeter = 2x³ + 3x³ - x² - x³ + 4x² + 2
perimeter = 4x³ + 3x² + 2
If Jada runs 5 laps around the track in 6 minutes how many minutes per lap is that
Answer:
1.2 minutes
Step-by-step explanation:
5 laps >> 360 ( 6×60)
1 lap >> x
cross multiplication
5x = 360
x = 360/5
x= 72 second
x = 72/60 = 1.2 minute
find the scale figure from A to B.
scale figure A= 16 cm,8cm,20 cm
scale figure B=12cm,6cm,15cm
Answer:
The scale factor is 4/3 or 1.333...
Step-by-step explanation:
We're trying to find how can A go to B
Example: 16 --> 12
16 Divided by 12 = 4/3
[tex]\frac{16}{1}[/tex]÷[tex]\frac{12}{1} = \frac{16}{1} * \frac{1}{12} = \frac{16}{12} = \frac{4}{3}[/tex]
This will work with other numbers too.
If j and k are intersecting lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and D?
• A. We can't determine from the given information.
O B. Exactly one
O C. Infinitely many
O D. None
Answer:
O B. Exactly one
Step-by-step explanation:
The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
please help and show your work please
Answer:
[tex]m=-8[/tex]
Step-by-step explanation:
[tex]2m+6=-10\\2m=-16\\m=-8[/tex]
Invisible Steps:
Subtract 6 on each side:
[tex]2m+6-6=2m[/tex]
[tex]-10-6=-16[/tex]
Divide by 2 on each side:
[tex]2m[/tex] ÷ [tex]2=m[/tex]
[tex]-16[/tex] ÷ [tex]2=-8[/tex]
The answers are ad||cd, be=de,
Answer:
Its AD||CD
Step-by-step explanation:
Imagine that you have been asked to write a letter to a 7thgrader. Using academic vocabulary and 5-7 complete sentences, write a letter teaching a 7thgrader about something you have learned in 8thgrade Math this year.
please help me!
Answer:
step 1: what have you learned?
We cant help you because we do not know what you have learned.
but if you comment your vocab words and what u learned i can help you
Step-by-step explanation:
1D. The least prime that is the sum of four different prime numbers is 17 because 17 = 2 + 3 + 5 + 7. What is the least prime greater than 17 that is the sum of four different prime numbers?
The least prime greater than 17 that is the sum of four different prime numbers is 23
The least prime that is the sum of four different prime numbers is 17
That is, 17 = 2 + 3 + 5 + 7
Prime numbers greater than 17 are 23, 29, 31. 37, 41,........
Prime numbers less than 17 are 2, 3, 5, 7, 11, 13
How can we combine the prime numbers 2, 3, 5, 7, 11, and 13 to give the least prime number greater than 17
The only possible combination is:
2 + 3 + 7 + 11 = 23
Therefore, the least prime greater than 17 that is the sum of four different prime numbers is 23
Learn more here: https://brainly.com/question/25664167
greatest from least 2lb., 891 g., 1 kg., 0.02 T.
Step-by-step explanation:
i think the greatest from is 0.02 T
4) Monica swam 4 laps in 15 minutes. At this rate, how many laps would she swim in 45 minutes?
O 8 laps
O 12 laps
O 15 laps
o 21 laps
Answer:
12 laps
Step-by-step explanation:
15÷4=3.75
45÷12=3.75
not sure whether it's true or not but at least I got the answer-
Pls help fast
What is the recursive rule for the sequence shown in the graph
Answer:
[tex]a_{n} =a_{n-1} -4[/tex]
explanation:
The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex] thus, option (A) is correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
For example y = x² form a parabola now by looking at only the graph we can predict that it has only a positive value irrespective of the interval of x.
In the given graph, as n increases [tex]a_{n}[/tex] decreases.
At n = 4 , a₄ = a₃ - 4 = 5 - 4 = 1
Thus, [tex]a_{n} = a_{n-1}-4[/tex] will be the recursive rule.
Hence "The recursive rule for the given graph will be [tex]a_{n} = a_{n-1}-4[/tex]".
To learn more about graphs,
brainly.com/question/16608196
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X=6 and 6=K so x=
Use the transitive property of equality to finish the equation
Answer:
X=6
Step-by-step explanation:
Hope this helps.
Answer:
x = K
Step-by-step explanation:
If,
x = 6
and 6 = k
=> x = 6 = k
=> x = k
The Transitive Property of Equality states the same fact as:
"If two units are equal to each other and the second unit is equal to a third unit, then the first unit is also equal to the third unit."
Somebody please help
Answer:
c/ y=20x
Step-by-step explanation:
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
PLZ PLZ PLZ explain step by step.
Write your answer as an equation with f(x) first, followed by and equals sign.
Answer:
Step-by-step explanation:Explanation ily/3fcEdSxs[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]
In \triangle HIJ,△HIJ, \overline{HI}\cong \overline{JH} HI ≅ JH and \text{m}\angle J = 13^{\circ}.m∠J=13 ∘ . Find \text{m}\angle I.m∠I.
Answer:
13
Step-by-step explanation:
two angles are congrunet
The measurement of angle I in the given triangle HIJ is 83.5°.
Given is a triangle HIJ, where HI ≅ JH, and m ∠J = 13°, we need to find m ∠I.
Since HI ≅ JH (given) and ∠J = 13° (given), then ∠HJI ≅ ∠HIJ (by the isosceles triangle property).
In an isosceles triangle, the angles opposite the congruent sides are also congruent. Therefore, ∠HJI = ∠HIJ.
Now, let's denote ∠I as x (which is what we're trying to find). Since ∠HJI = ∠HIJ, we can set up an equation:
x + 13° + x = 180° (sum of angles in a triangle)
Solving for x:
2x + 13° = 180°
2x = 180° - 13°
2x = 167°
x = 167° / 2
x = 83.5°
So, m ∠I is 83.5°.
Learn more about isosceles triangle click;
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Complete question is given below:
In △HIJ, HI ≅ JH and m∠J = 13°. Find m ∠I.
Find an equation of the line parallel to y=2x+1 and that passes through the point (5,1)
Answer:
y = 2x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 1 ) into the partial equation
1 = 10 + c ⇒ c = 1 - 10 = - 9
y = 2x - 9 ← equation of parallel line
in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]
[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]
Take LCM
[tex]\mathbf{E(x) = \frac{5}6}[/tex]
[tex]\mathbf{E(x) = 0.83}[/tex]
The number of games is 100.
So, the expected gain is:
[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
Hence, the expected total gain is 83 points
Read more about expected value at:
https://brainly.com/question/13499496
Due in an hour help me
Please I have to pass
Answer:
A is answer
Step-by-step explanation:
Chapter 4 Test, Question 15, 6th grade
b. What fraction of voters do not vote for the winning candidate? Write the fraction in simplest form.
_____ of the voters do not vote for the winning candidate.