Answer:
[tex]x=\pm \sqrt{11} \\y=-4.[/tex]
Step-by-step explanation:
[tex]\left \{ {{3x^2+4y=17} \atop {2x^2+5y=2}} \right. \\\\Then\\\\\left \{ {{2 \times (3x^2+4y)=2 \times 17} \atop {3\times(2x^2+5y)=3\times2}} \right. \\\\\left \{ {{6x^2+8y=34 \quad (1)} \atop {6x^2+15y=6\quad (2)}} \right.\\\\(1)-(2) \Rightarrow -7y=28 \Rightarrow y =-4.\\Since \: \: 2x^2+5y=2 \Rightarrow 2x^2=2-5y\\\Rightarrow 2x^2=2+20=22\\\Rightarrow x^2=22:2=11\\\Rightarrow x=\pm \sqrt{11}.[/tex]
The figure above shows a circle with center Cand
radius 6. What is the sum of the areas of the two
shaded regions?
160
С
Answer:
Sum of the areas of two shaded regions = 100 unit² (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 6 units
Angle of one unshaded area = 160'
Find:
Sum of the areas of two shaded regions
Computation:
Angle of one shaded area = 180' - 160'
Angle of one unshaded area = 20'
Sum of the areas of two shaded regions = 2[θ/360][πr²]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(6)²]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(36)]
Sum of the areas of two shaded regions = 2[160/360][(3.14)(36)]
Sum of the areas of two shaded regions = [0.888][113.04]
Sum of the areas of two shaded regions = 100.46
Sum of the areas of two shaded regions = 100 unit² (Approx.)
What are the roots of 5x^2=60
Answer: {±2√3}
Step-by-step explanation: Since only one term contains an x in this problem, we can simply get the x by itself by dividing both sides by 5 and then square rooting both sides to get x = ±√12
Remember to use plus or minus when
square rooting both sides of an equation.
Now, √12 breaks down to 2√3 so our
final answer is {±2√3}.
If the variable only appears in one of the terms in the equation,
you can solve it by simply isolating the variable.
Write the equation of the line that passes through the points:
(-4,-4) and (8,-7)
to the girl who helped me <3 please help me again.
Answer:
x = 11
Step-by-step explanation:
<4 and <5 are alternate interior angles and alternate interior angles are equal when the lines are parallel
<4 = <5
7x+5 = 5x+27
Subtract 5x from each side
7x+5-5x = 5x+27-5x
2x+5 = 27
Subtract 5 from each side
2x+5-5=27-5
2x =22
Divide by 2
2x/2 =22/2
x =11
Which of the following is a statistical question?
The function f(x) = 0.50x represents the cost of x bagels at your local bakery, in dollars. Fernando wants to purchase 10 bagels at the bakery. How much would he have to pay?
please help me solve this
Answer:
1.41
2.17
Hope this helps u
Explanation:
In Venn diagrams, similarities in both things are in the middle of the diagram, but we also have the others.
Therefore, there are 41 students who like tennis and swimming.
Students who don't like tennis like swimming, so that's 17.
Therefore, there are 17 students who don't like tennis.
I hope I helped!
Need help ASAP DUE IN A COUPLE MINUTES PLEASE AND SHOW WORK ?!!!
Answer:
here u go
Step-by-step explanation:
what i did was 15*7 which is 105
and then i did 105/2 which is 52.5 ft
Answer:
V = 1237 cubic feet
Step-by-step explanation:
V of cylinder = πr^2h
r = 7.5 ft (15/2)
h = 7 ft
v = ((7.5)^2)π*7 = 1237.002107 cubic feet
solve by the substitution method
6x+5y =-26
-9x+y= 56
Answer:
I think its well point form is (- 31/6, 19/2)
and equation form is x= - 31/6, y= 19/2
Step-by-step explanation:
Hope it helps!!!
I don’t know what to do?
Answer:
I geuss because the scale factor is 2 that the resulting triangle will be almost twice the size. Because in a dilation you multiply it. If you dont know how to dilate a triangle with a compass I would suggest looking for a video online. But I know for the part that says "Is the image of ABC similar to the original triangle" the answer would be yes it is similar because you are just dilating the triangle not changing its orientation. I hope this helps! Good luck!
BRAINLY OPPORTUNITY
ANSWER ASAP
If f(x) = -9x – 9 and g(x)= x-9,
what is (fºg)(10)?
Answer:
-18
Step-by-step explanation:
fog(x) = -9(x-9) -9
=> f o g (10) = -9(10-9)-9 = -9-9 = -18
Anne is doing a project on family size for social studies class. She collected data on the number of first cousins the kids in her neighborhood have. This histogram shows the data she collected.
Answer:
The data is nearly symmetricalOn average, kids in her neighborhood have about 15 cousinsThe mean and median are equal or nearly equalGiven that P = 3K/R, by making R the subject of the formula we get is
Answer:
R=3K/P
Step-by-step explanation:
P=3K/R
RP=3K
RP/P=3K/P
R=3K/P
PLEASE HELP!!!
Select all of the true statements below.
A
Kingsville started with a larger population in the year 2000.
B
Each year, the population of Kingsville increases by more people than does the population of Fairfield.
C
Kingsville and Fairfield both have decreasing populations.
D
After 6 years, Fairfield's population is greater than Kingsville's population.
The length of a rectangle is 2 ft shorter than 5 times its width, x. The area of the rectangle is less than 100 f12.
Which inequality can be used to determine the maximum width (ft) of the rectangle?
A. 5x2 – 2x < 100
OB. 5x2 - 2x > 100
O C. 5x2 + 2x > 100
D. 5x2 + 2x < 100
HELPPP PLS!!
Answer:
A
Step-by-step explanation:
Area of rectangle = length x width
length = 5x - 2
width = x
area = (5x - 2) × x
100 = 5x² - 2x
the width would be less than the area of the rectangle, thus the inequality sign to be used is <
5x² - 2x < 100
Find the value of the variable
Answer:
v=9
Step-by-step explanation:
Given the right triangle is a 30-60-90 triangle, we can simply make the equation v√3=9√3 since the longest side of a 30-60-90 triangle is √3 times as big as its short side. Therefore, v=9.
‘I-Moons’ charges $12 per album downloaded and an initial joining fee of $3. ‘I-Toons’ Charges $10 per album downloaded and a joining fee of $9. Write a system of linear equations that models this situation.
I-moom equation is 12x+3
I-toons equation is 10x+9
Question in the picture ^
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
PLEASE PLEASE HELP ME WITH THIS I ONLY NEED 2O MORE POINTS ON THIS IXL
EXPLANATION = BRAINLIEST
answer needs to be in simplest form!!!!
i appreciate this so much
This is the same as 7.5pi
============================================================
Explanation:
Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.
Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below
S = (x/360)*pi*r^2
where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.
Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2
-----------------------
Plugging in the given values leads us to...
S = (x/360)*pi*r^2
S = (108/360)*pi*5^2
S = (3/10)*pi*25
S = (3/10)*25*pi
S = 75pi/10
S = 15pi/2
This is the same as 7.5pi because 75/10 = 15/2 = 7.5
I'll leave it as a fraction since the previous answer I wrote was in fraction form.
-------------------------
Side note: if the angle x is in radian mode, then you'll use this formula
S = (x/2)*r^2
Answer:
7.5π square meters
Step-by-step explanation:
The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]
Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.
We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:
[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]
(OR approx. 23.56 square meters)
Hope this helped!
Help me please ASAP
Answer:
x = 22
Step-by-step explanation:
that is the procedure above
A batter gets 6 hits in 12 times at bat. What is the experimental
probability that she will get a hit in her next time at bat?
Answer:
1/2 or 50% or .5
Step-by-step explanation:
She hits at .500 that's pretty good. I'd take her on my fantasy team.
What is the radius and diameter of each circle ?
Answer:
A
radius is 11
diameter is 22
B
radius is 15
diameter is 30
C
radius is 13
diameter is 26
D
radius is 7
diameter is 14
Answer:
Step-by-step explana
1- R == 11
D=2R = 22
2-D =30
R= 0.6D = 15
3- D = 26
R= 0.5D= 13
4 - R= 7
D= 2R = 14
What is the slope of the line that passes through the points (4, 9)(4,9) and (7, 18) ?(7,18)? Write your answer in simplest form.
Answer:
Slope = 3
Step-by-step explanation:
Calculate using slope formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
[tex](x1, y1) = (4, 9)[/tex] and [tex](x2, y2) = (7, 18)[/tex]
[tex]m = \frac{18 - 9}{7 - 4} = \frac{9}{3} = 3[/tex]
the slope is 6 and passes through (-4,4)
Answer:
y=6x+28
Step-by-step explanation:
Using the given variables, find the equation of the line using y=mx+b
In this equation, m=slope, which means m=6
So now we have y=6x+b. We need to find the b value.
Plug in the point (-4,4) into the equation and solve for b like so:
y=6x+b
4=6(-4)+b
28=b
Now, plug in your m value and b value into y=mx+b to get your answer of y=6x+28
Please HELP ME ITS DUE IN A COUPLE OF MIN!!!
Fruits and vegetables are a great source and insoluble ________,which helps detoxify the body and in doing so helps prevent against cancer,diabetes and cardiovascular disease.
A.protein
B.fat
C.fiber
D. sugar
WUTY guerrITOSTITUTO PETTITUUTTOIVOITETTO
GO
Determine the equation of the line perpendicular to the line y = -8 through the point (-4,-2),
The line ys -8 is
The line perpendicular to the line y = -8 is
The equation of the line perpendicular to the line y = -8 through the point (-4,-2) is
Answer:
-x-6=y
Step-by-step explanation:
Perpendicular slope is -1
-1(-4)+b=-2
B=-6
Answer:
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
The line y = –8 is
✔ horizontal
The line perpendicular to the line y = –8 is
✔ vertical
The equation of the line perpendicular to the line y = –8 through the point (–4, –2) is
✔ x = –4
Step-by-step explanation:
i got it right
Which set of numbers includes only integers?
Rational Numbers
Integers
Whole Numbers
-5, - 32.1,
23
Answer:
Second one
Step-by-step explanation:
Integers are any whole numbers ( can be negative or positive )
The only answer choice that contains only whole numbers is the second one
519 divided by 22,836
PLEASE HELP ME WITH THESE 2 QUESTIONS
Answer:
Step-by-step explanation:
If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?
Step-by-step explanation:
hope the picture above help u to understand:)