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)
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price.
What was the cost for 111 comic book?
\$
Answer:
$3.50
Step-by-step explanation:
111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.
What is the base of the expression 6^-4?
Answer:For this case we have that by definition it is fulfilled:
Where:
a: It is the base
b: It is the exponent
So, if we have the following expression:
-6 to the power of 4, is equivalent to:
So we have to:
-6: It is the base
4: It is the exponent
-6: It is the base
4: It is the exponent
Step-by-step explanation:
an angle measuring between 90 and 180 is called__
Answer:
A) obtuse angles
Step-by-step explanation:
Options:
A.obtuse
B.acute
C.straight
D.small
Correcr Answer A) obtuse
(Hope this helps can I pls have brainlist (crown)☺️)
State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
what is the formula for surface area of a pyramid?
what is the forumla for surface area of a square
for pysamid is ph+B2
hope it helps
Help! I give brainlest. Problem is in Image
Answer:
65
Step-by-step explanation:
let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.
[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]
Answer:
65
Step-by-step explanation:
9^2-4^2=65
Wayne took his family out to dinner. The cost of the food was $42.50. Wayne decided to give a 30% tip because of excellent service. The tax was 4% of the cost of the food. What was the total amount the meal cost him?
Answer:
$56.29
Step-by-step explanation:
what year was it, exactly 4 centuries before 1965?
Based on the number of years in a century, we can calculate that the 4 centuries before 1965 was 1565.
A century refers to a period of 100 years.
If we are looking for a period of 4 centuries therefore, this would be:
= 4 x 100
= 400 years
4 centuries before 1965 would therefore be:
= 1965 - 400
= 1565
In conclusion, the answer is 1565.
Find out more at https://brainly.com/question/17498856.
What is -6/2 simplified
The fraction number negative 6/2 in the simplified form will be negative 3.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The fraction number is given below.
⇒ - 6 / 2
Simplify the fraction number, then we have
⇒ - 6 / 2
⇒ - 3
The fraction number negative 6/2 in the simplified form will be negative 3.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ5
The temperature in Birmingham is 5°C colder than in London ( London temperature is 6 ). What is the temperature in Birmingham
Answer:
1˚C
Step-by-step explanation:
First, you take 5 away from 6
5 = 5°C colder than in London
6 = The temperature in London
1ºC. 6 minus 5 equals 1.
and also that is quite easy for high school.
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
27 x 9^3x can be written in the form 3^k where k is an expression in terms of x. Find k
Answer:
27 x 9^3x = 3^3 x 9^3x = 3^3 x (3^3)^3x = 3^3 x 3^9x = 3 ^3+9x
3^3+9x = 3k
ln(3^3+9x) = ln(3^k)
3+9x(ln3)=k(ln(3))
k= 3(1+3x)/ln(3)
Step-by-step explanation:
ln(x^n) = n(ln(x))
Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?
Answer:
300 miles
Step-by-step explanation:
$67.96 + $0.11x = $55.96 + 0.15x
x = 300
I hope this helps!
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
d>-7
Step-by-step explanation:
Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.
Michael charges $3 per lemonade plus a flat rate of $1.
How many lemonades would they have to sell to be making the same amount of money?
Complete the blanks in the materials list to find the total cost of the plumbing fixtures. The quantity of needed items is listed you have to figure the total cost of the materials for the job.
Answer:
$3,466.12 Hope this helped.
Kathleen cycled a total of 18 kilometers by making 9 trips to work. After 21 trips to work, how many kilometers will Kathleen have cycled in total?
Plz help me
I really appreciate it
Answer:
a = 45°
Step-by-step explanation:
In triangle PSR
PS = RS (Given)
angle SPR = angle SRP (isosceles triangle property)
Let angles SPR and SRP be x
Therefore, 90° + x + x = 180° (angle property)
=> 90° + 2x = 180°
=> 2x = 180° - 90° = 90°
=> 2x = 90°
=> x = 90° ÷ 2 = 45°
=> x = 45°
Hope it helps:)
whats is 8:55 after 25 minutes
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
x-4-2=-11
i need help on this asap
Answer:
X = -5
Step-by-step explanation:
X-4-2=-11
X-6=-11
X=-11+6
X=-5
Hope it helped youuuuu
30/x = 54/81 what value does x have to be to make it true
Answer:
x=45
Step-by-step explanation:
30/x = 54/81
30 = 54/81(x)
x = 30 ÷ 54/81
x=45
Answer:
x = 45
Step-by-step explanation:
30/x = 54/81
~Cross multiply
30 * 81 = 54 * x
~Simplify
2430 = 54x
~Divide 54 to both sides
45 = x
Best of Luck!
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π in
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
Solve the inequality, m+15<6 ?
Answer:
m < -9
Step-by-step explanation:
m+15<6
Subtract 15 from each side
m+15-15<6-15
m < -9
hihi pls help with geometry:)
Answers:
problem 6) x = 5problem 7) x = 5problem 8) x = 4problem 9) x = 6================================================
Explanation:
The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.
Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.
So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.
---------------------------
Work Shown for Problem 6:
3x = x+10
3x-x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 7:
x = 10-x
x+x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 8:
4x-12 = x
4x-x = 12
3x = 12
x = 12/3
x = 4
---------------------------
Work Shown for Problem 9:
2(x+3) = 18
2x+6 = 18
2x = 18-6
2x = 12
x = 12/2
x = 6
Or you can solve it like this
2(x+3) = 18
x+3 = 18/2
x+3 = 9
x = 9-3
x = 6
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second
Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330
Answer:
roughly 58
Step-by-step explanation:
the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:
429+38=467
467÷8=58.375 (round up)
Answer:
about 59 weeks
Step-by-step explanation:
How many solutions does 7( X -5 ) = X +13
Answer:
x=8 (one solution)
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
7(x−5)=x+13
(7)(x)+(7)(−5)=x+13(Distribute)
7x+−35=x+13
7x−35=x+13
Step 2: Subtract x from both sides.
7x−35−x=x+13−x
6x−35=13
Step 3: Add 35 to both sides.
6x−35+35=13+35
6x=48
Step 4: Divide both sides by 6.
x=8
Answer:
x = 8 (one solution)
Step-by-step explanation:
7x - 35 = x + 13
-x -x
6x - 35 = 13
+35 + 35
6x = 48
divided by six on both sides
x = 8
13. Find the distance between (-9, -1) and (-2,-6). Round to the nearest tenth.
A) 8.6
B) 12.1
C) 9.9
D) 13.0
Answer:
(A) 8.6
Step-by-step explanation:
distance =√((x_2-x_1)²+(y_2-y_1)²)
the actual distance is 8.602325.
rounded distance is 8.6
