9514 1404 393
Answer:
(x +5)^2 +(y -3)^2 = 36
Step-by-step explanation:
Add the squares of half the linear term coefficients, then rewrite using squares. You get the standard form equation of a circle.
x^2 +10x +y^2 -6y = 2
(x^2 +10x +5^2) +(y^2 -6x +(-3)^2) = 2 +5^2 +(-3)^
(x +5)^2 +(y -3)^2 = 36 . . . . . circle centered at (-5, 3) with radius 6
The length of a rectangle is 6 centimeters greater than the width. The area of the
rectangle is 112 square centimeters. Find the length and the width.
Answer:
Step-by-step explanation:
Width = w
Length = w + 6
Area = 112 sq. cm
length * width = 112
(w +6 ) *w = 112
w² +6w -112 = 0
Sum = 6
Product = -112
Factors = 14 , -8 {14 - 8 = 6 , (-8)*14 = -112}
w² + 14w - 8w -112 = 0
w(w + 14) - 8(w + 14)=0
(w +14)(w -8) = 0 {Ignore w + 18 as measurement won't be negative}
w - 8 = 0
w = 8 ft
Length = 8 + 6 = 14 ft
Help we been stuck in this for a minitower ?
Write the following in expanded form.
159.552
What is the expanded form of this number, please help!!!!!!
Answer:
0.002+0.05+0.5+9+50+100
please help... no links
Use the graph shown to find the following.
(a) The domain and range of the function
(b) The intercepts, if any
(c) Horizontal asymptotes, if any
(d) Vertical asymptotes, if any
(e) Oblique asymptotes, if any
(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).
(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) This function does not have horizontal asymptotes.
(d) The vertical asymptote is x = 0.
(e) The oblique asymptote is y = -3x.
We want to find different elements of the function given in the graph.
(a) The domain and range of the functionThe domain of a function is the complete set of possible values of the independent variable. The domain of this function is (-∞; 0) U (0; +∞).The range of a function is the complete set of all possible resulting values of the dependent value. The range of this function is (-∞; +∞).(b) The interceptsThe intercept is a point where the graph of a function intersects the axis. There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) Horizontal asymptotesHorizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. This function does not have horizontal asymptotes.
(d) Vertical asymptotesVertical asymptotes are invisible vertical lines that certain functions approach, yet do not cross, when the function is graphed. The vertical asymptote is x = 0.
(e) Oblique asymptotesAn oblique asymptote is a slanted line that the function approaches as x approaches ∞ or -∞.
We have 2 points for this asymptote: (0, 0) and (2, -6). We can find its expression using the two-point form of a line.
y - y₁ = (y₂-y₁/x₂-x₁) (x - x₁)
y - 0 = (-6-0/2-0) (x - 0)
y = -3x
(a) The domain of the function is (-∞; 0) U (0; +∞) and the range is (-∞; +∞).
(b) There are 2 x-intercepts: (-2, 0) and (2, 0). There is no y-intercept.
(c) This function does not have horizontal asymptotes.
(d) The vertical asymptote is x = 0.
(e) The oblique asymptote is y = -3x.
Learn more about asymptotes here: https://brainly.com/question/4930698
I need help thank you for helping me
Answer:
63.3232
Step-by-step explanation:
Answer:
she needs to deposit $40.20
Step-by-step explanation:
A bag of 13 marbles contains 5 marbles with red on them, 3 with blue on them, 7 with green on them, and 2 with red and green on them. What is the probability that a randomly chosen marble has either green or red on it
Answer: 25%
Step-by-step explanation:
The position y( in meters) of a submarine after x minutes is y=-8x-12 Interpret the y-intercept and the slope
Answer:
slope = 8 or 8/1
depending on your teacher
y int = -12
because the formula is
Y = mx + b
m = slope
y int = b
hope this helps
What problem can be solved by division of decimals?
Answer:
empeñemos eluden los emigró del fr¡¿&¿=£/€"=4=£64÷^£/:£=17
total area of 2 Square Windows is 1025 in squared each side of the larger window is 5 in longer than the size of the smaller window how long are the size of the smaller window
Answer:
B 20in
Step-by-step explanation:
e2021
Pls help i don’t understand this
Answer:
BD =√(10) ~ 3.162
EB = √(11.44) ~ 3.382
AE = √(12.44) ~ 3.527
Step-by-step explanation:
Apply the Pitago (example this picture)
a^2+ b^2 = c^2
help with this math work i dont understand
Answer: 7,035
Step-by-step explanation: first convert 5% to a decimal, 0.05
Then multiply that to the subtotal which is 6,700: 335
Last add 335 to the subtotal. 6,700+335+7,035
Hope this helps!
1/?=8/34 plz help i need this answer ASAP!!!
Answer:
1 / 4 = 8 / 34
1 * 32 = 8x
32 = 8x (divide both sides by 8)
4 = x
Please can you help
Enlarge the shape by scale factor 0.5, using P as the centre of enlargement.
Р
Answer:
pls give brainliest an also I don't know
Answer:
Step-by-step explanation:
see the figure below
let's start from bottom left point
we have to calculate position from P to that point as below
it is 2 units up and 11 units left
so as scale factor is 1/2
we have to shift that point to 1 unit up and 5.5 units left
pink point corresponding to it is denoted below
we have to do the same process for all the five points to cover the total figure
Find the x intercept of the line 2x-3y=11
Answer: The x intercept is (11/2)
Step-by-step explanation:
If 50 J of energy is used for 10 seconds how much power is produced
Answer:
5 watts
Step-by-step explanation:
20/3  ÷ 1/6 pls help
Step-by-step explanation:
= 20/3 ÷ 1/6
= 20/3 × 6
= 120/3
= 40
Answer:
[tex] \sf 40[/tex]
Step-by-step explanation:
[tex] \sf = \frac{20}{3} \div \frac{1}{6} [/tex]
[tex] \sf = \frac{20}{3} \times \frac{6}{1} [/tex]
[tex] \sf = \frac{20 \times 6}{3 \times 1} [/tex]
[tex] \sf = \frac{120}{3} [/tex]
[tex] \sf = 40[/tex]
If f(x)=1–2x + k and f(f(k)) = 13, determine the value of f(-1).
By definition of f(x),
f(k) = 1 - 2k + k = 1 - k
Then
f(f(k)) = f(1 - k) = 1 - 2 (1 - k) + k = 3k - 1 = 13
Solve for k :
3k - 1 = 13
3k = 14
k = 14/3
Find f(-1) :
f(-1) = 1 - 2 (-1) + 14/3 = 1 + 2 + 14/3 = 23/3
HELP!!
You use a line of best fit for a set of data to make a prediction about an unknown value. The correlation coefficient for your data set is 0.214. How confident can you be that your predicted value will be reasonably close to the actual value?
Answer Choices Below!:
Answer:
A
Step-by-step explanation:
How much does it cost to buy 10 beaded key chains that cost $0.91 apiece?
Answer:
9.10
Step-by-step explanation:
0.91x10=9.10
Solve. 6 - x = -12 pls....
Answer:
[tex]6 - x = - 12 \\ \\ x = - 12 - 6 \\ \\ x = 18[/tex]
Answer:
18
Step-by-step explanation:
I need help with item 2, 3, and 4 please
Answer:
apple's iPhone iPad Android blackberry windows etc
In a box there are 6 orange balls, 4 green balls and "x" blue balls. If the probability of drawing a blue ball is 1/3, what is the probability of drawing two blue balls?
Step-by-step explanation:
I assume it is meant to draw 2 blue balls in a row out of the full pool of balls (no other draws happen before or during this process).
tricky, your teacher.
I think the temptation is to simply say 1/3×1/3 = 1/9.
but is it ?
the probabilty to draw one blue ball out of the complete system (no ball missing) is
x / (6+4+x) = 1/3
x = (6+4+x)/3
3x = 6 + 4 + x = 10 + x
2x = 10
x = 5
so, we have a system of 6 orange, 4 green and 5 blue balls (15 all together) .
the probability at our first pull to draw a blue ball is the indicated 5/15 = 1/3.
but now, for the second ball, we have only 6 orange, 4 green and 4 blue balls in the pool (14 altogether).
and so the probability to draw a blue ball out of this is
4/14 = 2/7.
therefore, the probability to draw 2 blue balls is now the combination
1/3 × 2/7 = 2/21
aha ! so, it is a little bit less than the originally suspected probability of 1/9.
Jack Is 2 times as old as lacy. 8 years from now the sum of their ages will be 61. How old are they now?
Answer:
Jack = 30
Lacy = 15
Step-by-step explanation:
Let the age of Lacy be " x ".
Jack Is 2 times as old as lacy,
Age of Jack = 2 * Age of Lacy
Therefore,
Age of Jack = 2x.
8 years from now,
the age of Jack = 2x + 8
the age of Lacy = x + 8
8 years from now the sum of their ages will be 61,
2x + 8 + x + 8 = 61
2x + x + 8 + 8 = 61
3x + 16 = 61
3x = 61 - 16
3x = 45
x = 45 / 3
x = 15
The age of Jack
= 2x
= 2 * 15
= 30 years old.
The age of Lacy
= x
= 15 years old.
Hence,
Now,
the age of Jack is 30 years old.
the age of Lacy is 15 years old.
8. Math on the Spot Write an equation in slope-intercept form for the line that passes
through (5, -6) and is parallel to the line described by y = -x+ 3.
Answer: y=-x-1
Step-by-step explanation:
To find the answer, 5 and -6 have to be substituted in the place of x in the equation y = -x + b(The slope has to be the same because the line is parallel). -6 = -5 + b, b = -1. This means that the equation is y = -x - 1.
how do you find the zeros of an equation
Answer:
Step-by-step explanation:
In general, given the function, f(x), its zeros can be found by setting the function to zero. The values of x that represent the set equation are the zeroes of the function. To find the zeros of a function, find the values of x where f(x) = 0.
Answer:
Use the rational root theorem to list all possible rational zeroes of the polynomial P(x) P ( x) .
Evaluate the polynomial at the numbers from the first step until we find a zero. ...
Repeat the process using Q(x) Q ( x) this time instead of P(x) P ( x) . This repeating will continue until we reach a second degree polynomial.
The coordinates of the vertices of A ABC are A(-4, 6), B(-2, 2), and C(-6, 2)
The coordinates of the vertices of A A'B'C'are A' (2, 6). B'(0, 2), and C'(4, 2)
,
Drag and drop the answers into the boxes to correctly complete the statement
A ABC A A'B'C's a
followed by a
A sequence of transformations that maps
translation 2 units left
reflection across the x-axis
reflection across the y-axis
translation 2 units down
Answer:
Step-by-step explanation:
1 reflection across the y axis
followed by
2 translation two units left
(-4, 6) reflect to (4, 6) translate (2, 6)
(-2, 2) reflect to (2, 2) translate (0, 2)
(-6, 2) reflect to (6, 2) translate (4, 2)
could also be done in one step by reflecting across x = -1
Is value of the 2 in the tenths place the same value of the 2 in the ones place?
Answer:
No.
Step-by-step explanation:
If two were in the ones place, which would look like this: 2, then you would have two of an object. So two dogs, cats, ect.
If two were in the tenths place, which would look like this: .2, then you have two thenths of an object. Not one complete object, just that amount of it.
You would not want two tenths of a sock for a present, you would want two socks.
F(x) {x+5}. f(-4}. Why is the answer 9
Answer:
fudjdhajs gf djdjsiwjsj
22÷1/5 (urgent) I need this
Answer:
110
Step-by-step explanation:
easy matth to me
tip:22÷1/5 is 22x5
Answer:
i think its 110
Step-by-step explanation:
i just used a calculator