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)
PLEASE HELP ITS URGANT WILL MAKE BRAINLIEST PLEASE HELP MEEE
Answer:
A is the answer
Step-by-step explanation:
look at the attached image
If there is 1/4 ounces of yeast in every 2 and 1/4 teaspoons and you need 2 teaspoons how many ounces of yeast is needed
Answer:
It's probably 1/4
Step-by-step explanation:
Please help ….Simplify: V18x7
Answer:
The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1
Step-by-step explanation:
a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?
Answer:
197
Step-by-step explanation:
https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf
He gave the cashier $14.22 and received $2.63 in change. How much did the duffel bag cost?
Answer:
$11.59
Step-by-step explanation:
14.22-2.3=11.59
also this was like a question that gose "joe has 5 cookes, josie eats 3, how old is josie?"
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
If x is not a whole number, then x ≠ 5.
If x = 5, then x is a whole number.
If x ≠ 5, then x is not a whole number.
If x is not a whole number, then x = 5.
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
A line is an undefined term because it
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
Undefined Terms.
In geometry, point, line, and plane are considered undefined terms because they are only explained using examples and descriptions. Name the points, Lines, & Planes. Collinear points are points. that lie on the same line.
Answer:
A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
What is the missing angle ?
help me with this problem
Answer:
ñññññññññ
Step-by-step explanation:
11/9/2001
what is 2+3-4+6+22=
not that hard
Answer:
29
Step-by-step explanation:
Simplify 2+3 to 55-4+6+22
Simplify 5-4 to 1.1+6+22
Simplify 1+6 to 7.7+22
Simplify.29
Find the angle measure.
The measure of the angle is ?
Answer:
133°
Step-by-step explanation:
The angle X is the same as the given.
[tex]\mathbb{ANSWER:}[/tex]
⇒ The two parallel lines are cut by a transversal so the interior angles on the same side of a transversal are congruent. This means that the measurement of the second angle is also 133 degrees.
Hence, the measurement of the angle is also 133 degrees.
PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
Find out more at: https://brainly.com/question/16763389
write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000
[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]
[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]
[tex] \frac{72}{1000} = \frac{9}{25} [/tex]
[tex] \frac{2}{1000} = \frac{1}{50} [/tex]
I DON'T KNOW IF CORRECT
Answer:
i) 2.9
ii) 3.29
iii) 0.072
iv) 0.002
Step-by-step explanation:
i) 29/10 = 2.9
ii) 329/100 = 3.29
iii) 72/1000 = 0.072
iv) 2/1000 = 0.002
It's Helpful For All
Mark me Brainliest
For which values is the graph decreasing? Check all that apply.
between x = –3 and x = –1.5
between x = –1.5 and x = 0
between x = 0 and x = 1.5
between x = 1.5 and x = 3
Answer:
c
i think
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million
Answer:
40,000,000
Step-by-step explanation:
hope this works
( No Copy answer Use)
:)
2x-3=13 Solve x and explain
Answer: x=8
Step-by-step explanation:
Can someone explain this to me? No Links no bots.
Answer:
Domain and Range. The domain of a function is the set of values that we are allowed to plug into our function. This set is the values in a function such as ). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an value in.
Step-by-step explanation:
21 by 36 subtract 2 by 5 multiple 5 by 8
Answer:
676That's my opinionStep-by-step explanation:
Imsureeeeeeee123Answer:
0.3333333333
Step-by-step explanation:
21/36 Convert To 0.58333333333
2/5 Convert To 0.4
5/8 Convert To 0.625
Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.
Write an expression to show the total number of shows Johan has recorded after w week.
Answer:
32+6w=x
Step-by-step explanation:
Johan already has the 32
he is adding 6 every week which gives you the total-x
if it was two weeks, 32+6(2)= 32+12=44
William bought 6 shirts for $119.70. How much did one shirt cost him?
Answer:
19.95
Step-by-step explanation:
i just divvied 119.70 by 19.95
the acceleration in centimeters per second of a projectile is modeled by
Answer:
The Acceleration, In Centimeters Per Second Per Second, Of A Projectile Is Modeled By A (T) = 21" - 156 + 36, Where T Is Measured in seconds
1/2 hours: $1.25 What is the unit rate per hour?
Answer:
$2.5/hr
Step-by-step explanation:
1/2 hr = 1.25
(1/2 hr)x2 = $1.25 x 2
1 hr = $2.5
What would be the dimesions of the pool if the length is 15 feet longer then the width and they put up an 110 feet of fence around the pool
Help ASAP ill give Brainly
PlS HELP ME
NO BOTS PLS
Answer: Use Gauth Math. What is the topic about?
Step-by-step explanation:
t+27-19=100
what is the answer to this problem
Answer:
92
Step-by-step explanation:
t+27-19=100
t+8=100
t=100-8
t=92
Hope this helped u...
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
A rectangular room has an area of 120 square feet. a. The length of the room is 15 feet. Find the perimeter of the room. The perimeter of the room is feet.
help on #8 please??
question is in picture
Answer:
x = 6
Step-by-step explanation:
To get rid of the fraction at the left side of the equation, multiply both sides by 4
20x + 60 = 180 now subtract 60 from both sides
20x = 120 divide both sides by 20
x = 6
The value of a baseball card can be represented by the equation y=3x+39,where x represents the number of years that Robert has owned the card and y represents the total value,in dollars,of the card.What was the value of the card when Robert originally purchased it?
Answer:
Im pretty sure it's $39
Step-by-step explanation:
if x=0 it cancels out leaving y=39
