The system of equations of two unknowns is formulated and solved.
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left\{\begin{matrix} \ \ \ \dfrac{x}{y} = \dfrac{5}{7} \\ x^2+y^2 = 1184 \end{matrix}\right. \ \Longrightarrow \ x=\dfrac{5}{7}y } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ \left (\dfrac{5}{7}y \right )^2+y^2=1184\ \Longrightarrow\ 25y^2+49y^2=58016 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{74y^{2}=58016} \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ \ y^{2}=784 } \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf \bf{ \ \ \ \ \ y=\pm\sqrt{784}=\pm28 } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{ x=\dfrac{5}{7}(\pm 28)=\pm 20 } \end{gathered}$}[/tex]
The fraction that satisfies the request is [tex]\bf{\dfrac{20}{28}}[/tex] , since in [tex]\bf{\dfrac{-20}{-28}}[/tex] the negative signs are canceled and the first fraction is obtained.
what is the midpoint of (-2, -1) and (0, 9)
Answer:
(-1,4)
Step-by-step explanation:
For x the midpoint between -2 and 0 is -1
for y the midpoint between -1 and 9 is 4
Answer:
(-1,4)
Step-by-step explanation:
Midpoint can be found by:
(x1+x2)/2 ; (y1+y2)/2
So, if we substitute, we can find:
(-2+0)/2 ; (-1+9)/2
This gives us -2/2 and 8/2, which is:
(-1, 4)
Hope this helps!
The circumference of a circle is 37.68 meters. What is the circle's diameter?
C = 37.68 m
Use 3.14 for л.
Answer:
The diameter is 12.
Explain: i used this formula C= Dπ or C= 2rπ
(37.68) = Dπ Divide by 3.14, as the instructions in this question specify to do so.
37.68/3.14 = D π/ 3.14
D = 12 The diameter equals twelve.
Hope This Helped
Show me how you did it on mathwatch Ill give Brainliest to anyone
An equation is formed when two equal expressions are equated together with the help of an equal sign '='. The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The graph of the equation x+2y=7, between the domain of -2 to 3 can be drawn as shown below.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ1
Hi, so I was wondering if anyone knows the surface area of a cylinder if the diameter is 7.5? Thank you so much! :)
Answer:
206.17
Key(s):
[tex]A = 2\pi \frac{d}{2} h + 2\pi \left(\frac{d}{2}\right)^2[/tex]
Substitute d for the actual diameter, 7.5, and h for the height, which is 5.
Step-by-step explanation:
[tex]A = 2\cdot\pi \cdot\frac{7.5}{2} \cdot5 + 2\cdot\pi \cdot\left(\frac{7.5}{2}\right)^2[/tex] ≈ 206.17(2 DP)
find the coordinate plane that represents the solution of this system y > -x - 1 y + 4 ≤ x
Answer:
The graph will open to the right and will be mostly in quadrant 1
Step-by-step explanation:
Please help me
Find the value of x
Answer:
x = 5 and y = 22
Step-by-step explanation:
See attached image.
Which intervals show f(x) decreasing?
can someone find the radius and center point of x^2+y^2-16x+2y+56=0 (general form)
Answer:
Center is [tex](8,-1)[/tex]
Radius is [tex]3[/tex]
Step-by-step explanation:
To convert from a general form equation to a standard form equation, we must complete the square for each variable to simplify. Make sure to rearrange the equation to complete the square more easily:
[tex]x^2+y^2-16x+2y+56=0\\\\x^2-16x+56+y^2+2y=0\\\\x^2-16x+56(+8)+y^2+2y(+1)=0+8+1\\\\x^2-16x+64+y^2+2y+1=9\\\\(x^2-16x+64)+(y^2+2y+1)=9\\\\(x-8)^2+(y+1)^2=9[/tex]
Since the equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], our circle will have a center of [tex](h,k)\rightarrow(8,-1)[/tex] and a radius of [tex]r^2=9\rightarrow r=3[/tex].
On a scale drawing of the length of an advertisement billboard is 5cm what is the actual length of the scale is 1cm represent 2m?
Answer:
10m
Step-by-step explanation:
5x2=10 and it's in meters so ya
what contribution to geometry is attributed to the work of rene descartes
Answer: Analytic geometry
Use the Distributive Property to write each expression as an equivalent expression. Then evaluate it. 3(5+1)
Answer:
18
Step-by-step explanation:
[tex]3(5 + 1) \\ 3(5) + 3(1) \\ 15 + 3 \\ 18[/tex]
The distributive property means you distribute the multiple to all terms in the parenthesis, in this case the terms are 5 and 1.
0. on a saturday evening in chicago, 34% of the people go out to dinner, 18% go out to
see a movie, 13% go out to a party, and 35% stay home. if five people are randomly
selected on monday morning, what is the probability that all but one went out saturday
night?
a) 0.048
b) 0.116
c) 0.181
d) 0.312
Alex wants to cover his wall
with a circular clock that has a
diameter of 16 in. How much
space will the clock cover on
his wall?
Answer: A = π r2
r=8 and 8 squared is 64 and 64×3.14=200.96 or rounded to the nearest whole number it would be 201
Step-by-step explanation: brainliest please?
help me please :)
ytfrtrghjhgfdsfghjyutredfghjytredsfg
Answer:
what ya need man I can help but give me a question
Answers need to be fractions, if they are not whole numbers. No decimals
y=1/2x−7
Slope of lines parallel to line
Slope of lines perpendicular to line
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
What is the equation of a straight line ?An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
To know more about Straight Line equation
https://brainly.com/question/959487
#SPJ1
Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.
The error Kevin made was in step 2 when he added before he multiplied.
What error did Kevin make?
This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:
bracket of division multiplication addition subtractionStep 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66To learn more about addition, please check: https://brainly.com/question/349488
#SPJ1
simplify (x^3+2x-3)-(x^2-2x+4)
Answer:
x³ - ((x+1)(x+1))
Step-by-step explanation:
x³ + 2x -3 - x² - 2x + 4
x³ - x² + 1
x³ - ((x+1)(x+1))
Answer:
x^3−x^2+4x−7
Step-by-step explanation:
Hope this helps! Have a great day!!
The probability of sandy flipping a coin twice and getting heads both times is 0.25 the probability of john's spinner stopping on the color red is
The true statement is (c) Neither. Both events are equally likely.
Complete questionThe probability of Sandy flipping a coin twice and getting heads both times is 0.25. The probability of John's spinner stopping on the color red is 1/4.
Which of these events is more likely?
-Sandy flips a coin twice and gets heads both times.
-John's spinner stops on the color red.
-Neither. Both events are equally likely.
How to determine the likely event?The given parameters are:
P(Head twice) = 0.25
P(Red) = 1/4
Rewrite P(Red) as:
P(Red) = 0.25
By comparison, we have:
P(Red) = P(Head twice) = 0.25
This means that both events are equally likely
Hence, the true statement is (c)
Read more about probability at:
https://brainly.com/question/966102
#SPJ1
right triangles to find the exact length of:
T
30°
14 in
a) TI = in
60°
R
a) TI = 7√3 in
b) IR = 7 in
Explanation:Using cosine rule:
[tex]\sf cos(x) = \dfrac{adjacent}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf cos(30) = \dfrac{TI}{14}[/tex]
[tex]\hookrightarrow \sf TI = 14cos(30)[/tex]
[tex]\hookrightarrow \sf TI = 7\sqrt{3}[/tex]
Using sine rule:
[tex]\sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\hookrightarrow \sf sin(30) = \dfrac{IR}{14}[/tex]
[tex]\hookrightarrow \sf IR = 14sin(30)[/tex]
[tex]\hookrightarrow \sf IR = 7[/tex]
Can the sides of a triangle have lengths 2, 8, and 19?
Answer:
No
Step-by-step explanation:
NO...... any two sides added together must be GREATER THAN the third side .... 2 + 8 is NOT greater than 19
Using the cards 3,2,4,7 show a valua closest to 5000
4,7,3,2
Step-by-step explanation:
THESE ARE THE THE ARRANGEMENT OF NUMBERS IN ORDER TO GET THE CLOSEST TO 5000
(Refer to the attached image)
Explanation:
Provided 2 length sides and one angle also need to find one missing side.
So, use cosine rule:
a² = b² + c² - 2bc cos(A)
Part 1c² = 9² + 11² - 2(11)(9) cos(57)
c² = 94.16147
c = √94.16147 = 9.70 cm
Part 2d² = 5² + 7² - 2(5)(7) cos(48)
d² = 27.16
d = √27.16 = 5.21
Part 35² = 7² + 9² - 2(7)(9) cos(H)
-126cos(H) = 25 - 49 - 81
cos(H) = -105/-126
cos(H) = 5/6
H = cos⁻¹(5/6) = 33.56°
Part 48² = 4² + 7² - 2(4)(7) cos(J)
-56cos(J) = 64 - 16 - 49
cos(J) = -1/-56
J = cos⁻¹(1/56) = 88.98°
Passcode: 3142
Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situation?
A. c + (c + 2) = 12, where c is the number of dimes
B. c + 2c = 12, where c is the number of nickels
C. c + (c + 2) = 12, where c is the number of nickels
D. c + 2c = 12, where c is the number of dimes
2
SEE ANSWERS
Answer:
A. c + (c + 2) = 12
Step-by-step explanation:
Complete the table for y=1/2x-3
Tables are created by substitute a set of input values into the function to create outputs. The required table is as shown below
x | y
0 -3
1 -2.5
2 -2
Tables and valuesTables are created by substitute a set of input values into the function to create outputs
Using x = 0, 1 and 2 as the input values
Given the function
y = 1/2x - 3
If x = 0
y = 1/2(0) - 3
y = -3
If x = 1
y = 1/2(1) - 3
y = -2.5
If x = 2
y = 1/2(2) - 3
y = -2
Hence the required table is as shown below
x | y
0 -3
1 -2.5
2 -2
Learn more on tables and values here: https://brainly.com/question/12151322
#SPJ1
Which graph can be used to find the solution(s) to x2 – 4x + 4 = 2x + 1 + x2?
The solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have an equation:
x² – 4x + 4 = 2x + 1 + x²
After solving:
-4x + 4 = 2x + 1
6x = 3
x = 1/2 = 0.5
Thus, the solution to the equation x² – 4x + 4 = 2x + 1 + x² is x = 2.5 and the graph is shown in the picture.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
Solve 4 x 5/6 Change to a mixed number and reduce.
Answer:
10/3 or 3.333333
Step-by-step explanation:
- 4 x 5/6 is 3 1/3
- 3 1/3 is a mixed number
- 3 1/3 reduced is 10/3
What is the distance between points (5, 1) and (2, -3)?
Answer:
5
Step-by-step explanation:
The distance between two points [tex]P[/tex] and [tex]Q[/tex] is [tex]d = \sqrt{\sum_{i=1}^{n} \left(q_{i} - p_{i}\right)^{2}}[/tex] ([tex]n[/tex] s the number of coordinates of each of the two points, [tex]p_i[/tex] , [tex]i=1..n[/tex] and [tex]q_i,i=1..n[/tex]
are the coordinates of the first and the second points respectively).
Thus, [tex]d = \sqrt{\left(2 - 5\right)^{2} + \left(-3 - 1\right)^{2}}=5.[/tex]
Solve this please-
Thanks!!!
Answer:
130 m²
Step-by-step explanation:
Area of a parallelogram is given by the formula :
A = bh (b is the base length and h is the perpendicular height)
Now we simply substitute values given in diagram to find our answer:
A = bh
A = (13)(10)
A = 130
Units will be m² as this is area
Hope this helped and have a good day
help me now !! help help help
Answer:
Step-by-step explanation:
1) Parallelepiped
We need to find its surface area minus the area of the base and the base of the cylinder above.
2 (9) (2.4) = 43.2
2 (5) (2.4) = 24
4pi = Area of the base of the cylinder
45 - 4pi = Area of the base of the parallelepiped minus covered region.
Surface needed = 112.2 - 4pi
2) Cylinder
We need to find its surface area minus the area of the base.
2 (pi) (2) (3) = 12pi
pi (4) = 4pi
Surface needed = 16pi
Total surafec needed: (112.2 - 4pi) + 16pi = 112.2 + 12pi
(This is solved in 'pi' terms)
If this helped, I'd like to have a brainliest. Have a nice day!!
If it takes 10gallons of gas to travel 130 miles. Plot a chart showing the distance covered by 25 gallons, 30 gallons and 32 gallons of gas.
PLEASE ANSWER QUICKLY
Answer:
325, 390, 416
Step-by-step explanation:
So, to find one gallon, we can do 130/10=13. So, we can multiply 13 by the other numbers. 25x13=325, 30x13=390, and 32x13=416.