Answer:
[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]
And solving we got:
[tex] y = x^2 +14x +49 + 8 -49[/tex]
And we can reorder the terms we got:
[tex] y =(x+7)^2 -41[/tex]
And that would be the equivalent expression for the problem
Step-by-step explanation:
For this case we have the following function given:
[tex] y = x^2 +14x +8[/tex]
And we can complete the square adding the middle of 14 squared and subtracted before like this:
[tex] y = x^2+14x +(14/2)^2 +8 - (14/2)^2[/tex]
And solving we got:
[tex] y = x^2 +14x +49 + 8 -49[/tex]
And we can reorder the terms we got:
[tex] y =(x+7)^2 -41[/tex]
And that would be the equivalent expression for the problem
What is the perimeter of a square with an area of 225 cm??
A)
15 cm
B)
30 cm
C
60 cm
D)
120 cm
The right answer is 60cm
look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
60
Step-by-step explanation:
the square root of 225 = 15
squares have 4 sides
15 times 4 = 60
Find the ninth term of the sequence.
4, 3, 0. - 5. – 12, ...
Answer:
-60
Step-by-step explanation:
4-1=33-3=00-5=-5-5-7=-12-12-9=-21-21-11=-32-32-13=-45-45-15=-60Which is a pertect square?
72
81
90
99
Answer:
81.
Step-by-step explanation:
9 * 9 = 81
Answer:
81
Step-by-step explanation:
81 is a perfect square since
√81 = 9 (perfect square)
However any of the others aren't perfect squares
Help, will mark brainliest
Answer:
38
Step-by-step explanation:
Write the equation of a circle centered at the
point P(-4,-6) and passing through the point
R(2,2).
Answer:
[tex](x+4)^2+(y+6)^2=100[/tex]
Step-by-step explanation:
Given a circle centred at the point P(-4,-6) and passing through the point
R(2,2).
To find its equation, we follow these steps.
Step 1: Determine its radius, r using the distance formula
For point P(-4,-6) and R(2,2)
[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Radius=}\sqrt{(2-(-4))^2+(2-(-6))^2} \\=\sqrt{(2+4))^2+(2+6)^2}\\=\sqrt{6^2+8^2}\\=\sqrt{100}\\Radius=10[/tex]
Step 2: Determine the equation
The general form of the equation of a circle passing through point (h,k) with a radius of r is given as: [tex](x-h)^2+(y-k)^2=r^2[/tex]
Centre,(h,k)=P(-4,-6)
r=10
Therefore, the equation of the circle is:
[tex](x-(-4))^2+(y-(-6))^2=10^2\\\\(x+4)^2+(y+6)^2=100[/tex]
Find the area of a circle with radius 7 yd.
Use the value 3.14 forn, and do not round your answer.
Be sure to include the correct unit in your answer.
Answer:
153.86 yd²
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
Area = 3.14 × 7 ×7
Area = 153.86 yd²
Answer:
153.86 yd²
Step-by-step explanation:
Evaluate the given expression 10 c4•10c2
Step-by-step explanation:
answer in photos thanks
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(6x)?
Answer: C. It is the graph of f(x) shrunk horizontally by a factor of 6.
Step-by-step explanation:
When we multiply a function’s input by a positive constant, we get a function whose graph is stretched or compressed horizontally in relation to the graph of the original function. If the constant is between 0 and 1, we get a horizontal stretch; if the constant is greater than 1, we get a horizontal compression of the function.
Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.
Answer:
A.
Step-by-step explanation:
Sukhoi itwilkot yang joko
The function f(x)= --x is shown on the graph.
Which statement is correct?
The range of the graph is all real numbers greater than or
equal to 0.
The domain of the graph is all real numbers greater than
4 or equal to 0.
The range and domain of the graph are the same.
The domain of the graph is all real numbers.
Answer:
Option (3).
Step-by-step explanation:
Attached figure is the graph of a function,
f(x) = -[tex]\sqrt{-x}[/tex]
Since domain of any function is the set of all possible input values of the function,
Therefore, Domain of the function is,
Domain : x ≤ 0 Or (-∞, 0]
And range of the function is the set of all possible output values (y-values) of the function.
Therefore, Range of the function will be,
Range : y ≤ 0 Or (-∞, 0]
Therefore, Domain and range of this function is same.
Option (3) will be the answer.
Answer:
C.) The range and domain of the graph are the same.
Step-by-step explanation:
I need help and an answer ASAP Please don't abandon the answer I need an answer!
Find the slope of the line that contains the points named.
R(0, 4), S(5, 0)
-4/5
4/5
-5/4
Answer:
Step-by-step explanation:
4/5
please help as soon as possible
Answer:
3/2
Step-by-step explanation:
Answer:
Type in 2 / 3
Step-by-step explanation:
Take a look at the procedure below;
[tex]3y = 2x, Divide both sides by 3,\\y = 2 / 3x, Take Constant of Proportionality as slope ( y = ax, where a - slope )\\Solution; 2 / 3[/tex]
ABCDE and FGHIJ are regular pentagons with FGHIJ the larger of the two. One side of pentagon ABCDE is 4 units long. If the ratio of the perimeters of the 2 pentagons is 2:3, how many units long is a side of pentagon FGHIJ ?
Answer:
6 unit
Step-by-step explanation:
2x2=4
soooo
3x2=6
Answer:
I think it would be 3.1
Step-by-step explanation:
I think
26. In the standard (x,y) coordinate plane, P(-3,-1) will be
reflected over the y-axis. What will be the coordinates
of the image of P ?
F. (-3, 1)
G. (-1, 3)
H. (1,-3)
J. 1, 3)
K. ( 3,-1)
Answer:
(-3,1) is the answer.
Step-by-step explanation:
reflection-(-3,-1)
=(-3,1)
therefore the points on the x-axis stay on the x-axis. This is reflection about the y-axis
4 times 1/3 in fraction
Answer:
4/3 or 1 and 1/3
Step-by-step explanation:
4 * 1/3. You would do 4*1 over 3, which gives you 4/3.
Find the value of x.
Answer:
x≈47.4
Step-by-step explanation:
Use sine, since the triangle is a right triangle and doesn't have any special properties.
sin28=x/101
101*sin28=x
solving this, you get that x≈47.4.
Please help I don’t get how to do it.
Answer:
Step-by-step explanation:
a) -2g
putting the value of g
-2[tex](\frac{3}{-1} )[/tex]
opening the brackets by multiplying
=[tex](\frac{-6}{1})[/tex]=-2g
b)f+3g
=[tex]\frac{-2}{4}+\frac{9}{-3}[/tex]
taking LCM AS 12
=[tex]\frac{-2*3}{4*3} +\frac{9*4}{-3*4}[/tex]
=-6/12-36/12
=-42/12
=-7/2
c)2f-4g
=[tex]2(\frac{-2}{4})-4(\frac{3}{-1} )[/tex]
=[tex]\frac{-4}{4}-\frac{12}{-1}[/tex]
=-1+12
=11
Ivan watered 3 plants. Every plant got 5/9 gallons of water. How much water did he use in all write in simplest form
Answer:
1 and 2/3 gallons of water.
Step-by-step explanation:
5/9*3=15/9
15/9=1 and 6/9
6/9 simplified is 2/3
Answer: 1 and 2/3 gallons of water
Based on the information given, the amount of water used will be 1 2/3 gallons.
From the information given, it was stated that Ivan watered 3 plants and that every plant got 5/9 gallons of water.
Therefore, the amount of water that'll be used for all will be:
= 5/9 × 3
= 15/9
= 1 2/3.
In conclusion, the correct option is 1 2/3 gallons.
Learn more about fractions on:
https://brainly.com/question/17220365
SM=3x−4, and RN=9x−20. Find the value of x
Answer:
Option (A).
Step-by-step explanation:
Given question is incomplete; find the complete question with the attachment.
In the triangle NRL,
Points P, S and M are the midpoints of the sides NR, RL and LN respectively.
Sides SM = (3x - 4), NR = (9x - 20)
By the theorem of midpoints in a triangle,
SM = [tex]\frac{1}{2}\text{NR}[/tex]
(3x - 4) = [tex]\frac{1}{2}(9x-20)[/tex]
6x - 8 = 9x - 20
9x - 6x = 20 - 8
3x = 12
x = 4
Therefore, Option (A) will be the answer.
The value of x is equal t 4
Data;
midpoint = SM = 3x - 4Length of line = 9x - 20Midpoint of a LineThe midpoint of a line is half the distance of the line.
Since the length of the line is RN and midpoint of the line is SM.
[tex]SM = \frac{1}{2} RN[/tex]
Let's substitute the values into the equation
[tex]SM = \frac{1}{2} NR\\3x - 4 = \frac{1}{2}(9x- 20)\\ 3x - 4 = \frac{1}{2} (9x - 20)\\2(3x - 4) = 9x - 20\\6x - 8 = 9x - 20\\9x-6x = 20 - 8 \\3x = 12\\\frac{3x}{3} = \frac{12}{3} \\x = 4[/tex]
The value of x is equal t 4
Learn more on midpoint here;
https://brainly.com/question/26749964
Which graph shows the solution to the system of linear inequalities below?
Answer: Graph A or answer D is correct
After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia. What was the ratio of the amount of milk Mia had to the amount of milk Dante had at first?
Answer:
4:5
Step-by-step explanation:
You start with the equation:
2(3/4m)=D+1/4m
Simplify it to solve:
5/4m=D
The ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
What is ratio?"It is the comparison of two quantities of the same kind."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
For given question,
Let 'x' be the initial amount of milk Mia had and 'y' be the initial amount of milk Dante had.
After Mia gave 1/4 of her milk to Dante, Dante had twice the amount of milk as Mia.
We write above statement inn equation form as,
[tex]2(\frac{3}{4} x)=(y+\frac{1}{4} x)[/tex]
We simplify above equation to find the ratio of the amount of milk Mia had to the amount of milk Dante had at first.
[tex]\Rightarrow 2(\frac{3}{4} x)=(y+\frac{1}{4} x)\\\\\Rightarrow \frac{6}{4}x- \frac{1}{4} x=y\\\\\Rightarrow \frac{5}{4}x=y\\\\ \Rightarrow \frac{x}{y} =\frac{4}{5}\\\\ \Rightarrow x:y=4:5[/tex]
Therefore, the ratio of the amount of milk Mia had to the amount of milk Dante had at first = 4 : 5
Learn more about the ratio here:
https://brainly.com/question/20387079
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ON MONDAY SARAH HAD HOMEWORK IN 7/10 OF HER CLASSES, TUESDAY 3/5, WEDNESDAY 9/11, AND THURSDAY 1/2.
WHICH DAY DID SHE HAVE THE MOST HOMEWORK ?
Answer:
Wednesday
Step-by-step explanation:
This System is called ratios. Let’s take Thursday for example. She has homework for one out of two of her classes. Wednesday she had nine homework’s for eleven of her homeworks
QUESTION 5 The temperature was -7°C in the morning. The temperature dropped 3°C by sunset. What was the temperature at sunset? +10°C +4°C -4°C -10°C
Write sin 49° in terms of cosine.
Answer:
cos 41°
Step-by-step explanation:
[tex] \sin 49 \degree = \cos(90 \degree - 49 \degree) = \cos41 \degree \\ \\ \huge {\boxed{\red{ \bold{ \therefore \: \sin 49 \degree }}= \purple{ \bold{\cos 41 \degree}}}}[/tex]
The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.
What is trigonometry?Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The trigonometry expression is given below.
⇒ sin 49°
We know that sin (90 - A) = cos A. Then the expression is also written as,
⇒ sin 49°
⇒ sin (90° - 41°)
⇒ cos 41°
The trigonometry expression sin 49° is written in the form of cosine will be cos 41°.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
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Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the pairs of equations that represent concentric circles.
3x2 + 3y2 + 12x − 6y − 21 = 0
5x2 + 5y2 − 10x + 40y − 75 = 0
5x2 + 5y2 − 30x + 20y − 10 = 0
4x2 + 4y2 + 16x − 8y − 308 = 0
x2 + y2 − 12x − 8y − 100 = 0
2x2 + 2y2 − 8x + 12y − 40 = 0
4x2 + 4y2 − 16x + 24y − 28 = 0
3x2 + 3y2 − 18x + 12y − 81 = 0
x2 + y2 − 2x + 8y − 13 = 0
x2 + y2 + 24x + 30y + 17 = 0
Answer:
Following are the concentric circle represent:
Step-by-step explanation:
Given values:
[tex]3x^2 + 3y^2 + 12x - 6y - 21 = 0\\5x^2 + 5y^2 - 10x + 40y - 75 = 0\\5x^2 + 5y^2 - 30x + 20y - 10 = 0\\4x^2 + 4y^2 + 16x - 8y - 308 = 0\\x^2 + y^2 -12x - 8y - 100 = 0\\2x^2 + 2y^2 - 8x + 12y - 40 = 0\\4x^2 + 4y^2 - 16x + 24y - 28 = 0\\3x^2 + 3y^2 - 18x + 12y - 81 = 0\\x^2 + y^2 - 2x + 8y -13 = 0\\x^2 + y^2 + 24x + 30y + 17 = 0\\[/tex]
Following are the concentric value:
[tex]\Rightarrow 3x^2 + 3y^2 + 12x - 6y - 21 = 0 \leftrightarrow 4x^2 + 4y^2 + 16x - 8y - 308 = 0 \\\\[/tex]
[tex]\Rightarrow 5x^2 + 5y^2 - 10x + 40y -75 = 0 \leftrightarrow x^2 + y^2 - 2x + 8y- 13 = 0\\\\[/tex]
[tex]\Rightarrow 5x^2 + 5y^2 - 30x + 20y - 10 = 0 \leftrightarrow 3x^2 + 3y^2 - 18x + 12y - 81 = 0 \\\\[/tex]
[tex]\Rightarrow 2x^2 + 2y^2 - 8x + 12y - 40 = 0 \leftrightarrow 4x^2 + 4y^2 - 16x + 24y - 28 = 0[/tex]
4. A line passes through (2, -1) and (8,4).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in standard form using integers.
Answer:
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
Step-by-step explanation:
Explanation:-
Given points are ( 2,-1) and (8 ,4)
Slope of the line
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{4- (-1) }{8-2 } = \frac{5}{6}[/tex]
Point - slope form
y - y₁ = m ( x - x₁)
y - (-1) = 5 /6 ( x-2)
6 ( y +1) = 5 (x -2)
a) Equation of the line [tex]y +1 = \frac{5}{6} (x - 2)[/tex]
b) Equation of the line y + 1 = 0.833 ( x-2)
f(x) = x 2+ 6 and g(x) = 2x - 1
g[f(x)] =
A. 4x^2-4x+7
B. 2x^2+11
C. 2x^2+5
Answer:
work is shown and pictured
I need help pleaseeeeeeeee
Answer:
23 centimeters squared
4x + 7y <14
Into slope intercept form
Slope
Y-intercept
Answer: y < [tex]\frac{4}{7}[/tex]x + 2
Slope: [tex]\frac{4}{7}[/tex]
Y-intercept: 2
