Answer:
(2,-3)
Step-by-step explanation:
by elemination
2x + 2y = –2
3x – 2y = 12
cross out the 2y and -2y because the cancle each other.
that leaves 2x= -2
and 3x = 12.
simply add/subtract. 2x+3x=5x
-2+12=10.
5x=10
x=2.
now for the y. we have x so all we have to do is plug.
take any equation. 2x + 2y = –2 and plug 2 into the x.
2(2)+ 2y = –2
4+2y= -2
-2-4= -6
2y=-6
y=-3.
put x and y into ordered pairs
(2,-3) and done.
easy peasy.
Answer:
x=2 y= -3
Step-by-step explanation:
2x+2y = -2
x+y = -1 (dividing both sides with 2
x+1 = -y
3x - 2y = 12
3x + (-y)(2) = 12
3x + (x+1)(2) = 12
3x+2x+2=12
5x+2=12
x=2
-y= 1+2
y= -3
write in point-slope form (-4,-3) m=-1
Answer:
Point-slope form: y + 3= -1(x + 4)
Slope-intercept form: y = -1x - 7
y = m * x + b,
where:
m is the slope; and
b is the intercept of the y-axis.
Given the following table, what is the quadratic equation?
X
у
1
2
2
5
10
3 4
17
O A 2x2 + 1
o B. x2 + 1
o C. 4x2 + 1
OD. 2x2 + x + 1
Answer:
Answer B.
x² + 1
Step-by-step explanation:
x=1
Input x= 1 into x²+1 to get y
(1)²+1 = 2
when x=2
(2)²+1 = 5
when x = 3
(3)² + 1 = 10.
when x=4
(4)² + 1 = 17
Hence Option B
\Six times a larger number is equal to the sum of a smaller number and 18. The difference of twice the larger number and the smaller number is 6. Let x represent the smaller number and y represent the larger number. Which equations represent the situation?
y = 6 x + 18. y = 2 x minus 6.
y = 6 (x + 18). Y = 2 (x minus 6).
y = one-sixth x + 3. y = one-half x + 6.
y = one-sixth x + 3. y = one-half x + 3.
Answer:
last option: y = 1/6x+3; y = 1/2x+3
Step-by-step explanation:
6y = x + 18
Solve the above for 'y' to get:
y = 1/6x + 3
2y - x = 6
Solve the above for 'y' to get:
2y = x + 6
y = 1/2x + 3
Solve this for pleaseee
Sarah wants to buy cupcakes and a pizza for a sleep-over party for herself and 5 friends. She has $24 to spend. The pizza costs $12.
How many cupcakes can she buy?
What is this problem about? What does it say?
What do you think the variable should represent? Why?
Clearly define the variable.
What words in the problem can you relate to math operations (add, subtract, multiply, divide)?
Write an equation that translates this word problem into Math language.
Solve the equation.
Is your answer reasonable? Check your answer.
HELP ME PLS♀️‼️
What rational number subset(s) do 2, 5, 7, 9, 13 belong to??
Answer:
Natural numbers , whole numbers, Integers
Simplify the algebraic expression:
7(x + 3)20
Answer:
140x+420
Step-by-step explanation:
7(x+3)20
=140x+420
Answer:
14x+420
Step-by-step explanation:
7(x+3)(20)
=140x+420
The given circle has radius r = 22. If \thetaθ = 141 degrees, what is the area of sector L?
Answer:
[tex]595.54[/tex]
Step-by-step explanation:
The formula for a sector of a circle with angle [tex]\theta[/tex] is [tex]\frac{\theta}{360}\cdot r^2\pi[/tex].
Substituting given values, we have:
[tex]\frac{141}{360}\cdot 22^2\pi\approx \boxed{595.54}[/tex]
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
Given:
The equation of parallel line is:
[tex]3x-2y=5[/tex]
The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).
To find:
The equation of required line.
Solution:
Midpoint of line segment joining the points (-4,2) and (2,4) is:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)[/tex]
[tex]Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)[/tex]
[tex]Midpoint=\left(-1,3\right)[/tex]
It means the required line passes through the point (-1,3).
The slope of line [tex]Ax+By=C[/tex] is:
[tex]m=\dfrac{-A}{B}[/tex]
The given equation is:
[tex]3x-2y=5[/tex]
Here, A=3 and B=-2. So, the slope of the line is:
[tex]m=\dfrac{-3}{-2}[/tex]
[tex]m=1.5[/tex]
Slope of parallel lines are same. So, the slope of the required line is 1.5.
The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-3=1.5(x-(-1))[/tex]
[tex]y-3=1.5(x+1)[/tex]
[tex]y-3=1.5x+1.5[/tex]
Adding 3 on both sides, we get
[tex]y=1.5x+1.5+3[/tex]
[tex]y=1.5x+4.5[/tex]
Therefore, the equation of the required line is [tex]y=1.5x+4.5[/tex].
A movie theater sells small and large boxes of popcorn. A small box of popcorn costs $1.50. A large box of popcorn costs $4.00. A total of 25 boxes of popcorn were sold totaling $75.00.
Caitlyn recorded the height of each plant after she exposed each plant to a set amount of darkness daily. The scatterplot shows her results after 2 weeks of exposing each plant to the amount of darkness.
A graph titled Plant Growth has hours of darkness on the x-axis, and height of plant (inches) on the y-axis. Points are grouped closely together and decrease. Point (17, 12) is above the cluster.
Which statement about the scatterplot is true?
The point (17, 12) could cause the description of the data set to be overstated.
The point (17, 12) could cause the description of the data set to be understated.
The point (17, 12) shows that there is no relationship between the number of hours of darkness and the height of the plant.
Although (17, 12) is an extreme value, it should be part of the description of the relationship bet
Answer:
B. The point (17, 12) could cause the description of the data set to be understated.
Step-by-step explanation:
All other points on the scatter plot except point (17, 12), all follow a similar trend showing the negative relation between height of plants and darkness. If we are to consider just point (17, 12) alone when describing the data set, we might likely understate the relation between both variables.
Therefore, the statement that is true about the scatter plot is "B. The point (17, 12) could cause the description of the data set to be understated."
Answer:
hello love! your answer is B :)
Step-by-step explanation:
i got a 100%
Find the area of a circle with radius,
r
= 40cm.
Give your answer rounded to 3 SF
Which is the correct calculation for the volume of the prism?'
3 units
5 units
4 units
O 3 + 5 + 4 = 12 units
O3(4) + 5 = 17 units?
3(4) = 12 units
3(5)(4) = 60 units
Step-by-step explanation:
V = l.W.H
3(5)(4) = 60 units
The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units
What is volume?A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.
Given that, we need to determine the correct calculation for the volume of the prism,
We know that, the volume of a rectangular prism is the product of its dimensions = length x width x height
Therefore, the correct formula is 3(5)(4) = 60 units
Hence, the correct option is 3(5)(4) = 60 units
Learn more about volumes, click;
https://brainly.com/question/24086520
#SPJ7
PLEASE HELP ASAP!!!!!
Mrs. Murphy by balloons garlands paper lanterns and banners to decorate a school party she got three times as many bags of balloons as paper lanterns seven more garlands than paper lanterns and for banners she paid $5.25 for each banner $6.50 for each paper lantern five dollars for each bag of balloons and $3.50 for each garland how many of each kind of decoration did she purchase if she paid $145.50 please help
Answer:
Mrs. Murphy bought 4 packages of paper lanterns, 12 bags of balloons, 11
garlands and 4 banners
Step-by-step explanation:
I'm not really sure how I got this but it hope it helps!
Please help!!! I’ll give you the Brainly mark
Answer:
4
Step-by-step explanation:
just look at the graph and find where y is -5 the correlating point is 4
i’m so bad at this someone please help me lol!
Answer:
It's B
Step-by-step explanation:
B makes the most sense to me
Answer the statistical measures and create a box and whiskers plot for the following set of data.
1, 1, 6, 10, 12, 13, 13, 14, 16, 19
Min:
Q1:
Med:
Q3:
Max:
Answer:
min 1
Q1 = 6
med = 12.5
Q3 = 14
Max = 19
Step-by-step explanation:
Min simply refers to the smallest value and that is 1
Q1 is the first quartile and the formula is;
Q1 = (n+ 1)/4
where n is the number of terms which is 10
Q1 = (10 + 1)/4 = 2.75
This is approximately 3 and the 3rd term is 6
med is the median value and that is 12 + 13 = 25/2 = 12.5
Q3 is the third quartile
Q3 = 3(n+ 1)/4 = 8.25 and that is the 8th term which is 14
Max is simply the highest in value and that is 19
Which of these is a simplified form of the equation 7x + 4 = 5 + 3x + 1x?
I really need the step by step so I know how to this. Thank y'all soo much <3
what is the y intercept of this quadratic function
Answer:
the y-int is at the point (0,3)
Step-by-step explanation:
Answer:
(0,3)
Step-by-step explanation:
f(x)=x²+2x+3
x=0
f(0)=0²+2×0+3
f(0)=3
y=3
(0,3)
hello please help i’ll give brainliest
Answer:
it will decrease
Step-by-step explanation:
if theres not enough food water, ect for all 55 to survive and only enough to support 40 wolves they will die down
Answer:
It will decrease
Step-by-step explanation:
There are 55 wolves means the wolf population will decrease as the place have only sufficient resources to 40 wolves and will eventually die.
I think this is the answer.
please HELPPPP me !!!!!
Answer:
[tex]y = 4x - 3\\Slope \ m_1 = 4[/tex]
EQUATION OF LINE PERPENDICULAR
[tex]Lines \ are \ perpendicular => m_1 \cdot m_2 = -1\\[/tex]
[tex]slope, m_2 = \frac{-1}{4}[/tex]
[tex]equation \ of \ the\ line \ passing \ through \ (-2, 2) \ slope ,m_2 :\\(y - y_2) =m_2(x - x_2)\\ (y - 2) = \frac{-1}{4} (x -(-2))\\\\y - 2 = \frac{-1}{4} (x +2)\\\\y = \frac{-1}{4}x - \frac{1}{2} + 2\\\\y = \frac{-1}{4}x + \frac{3}{2}[/tex]
EQUATION OF LINE PARALLEL
[tex]Lines \ are \ parallel => m_1 \cdot m_3 = 1\\slope, m_3 = \frac{1}{4}[/tex][tex]Equation \ of \ the \ line \ through \ (-2, 2) \ and \ slope, m_3:\\(y - y_3) =m_3(x - x_3)\\\\(y-2) = \frac{1}{4} (x - (-2))\\\\y-2 = \frac{1}{4}(x+2)\\\\y = \frac{1}{4}x + \frac{1}{2} +2\\\\y = \frac{1}{4}x + \frac{5}{2}[/tex]
A simple impact crater on the moon has a diameter of 15 kilometers. A complex impact crater has
a radius of 30 kilometers. How much greater is the circumference of the complex impact crater than
the simple impact craters?
Answer:
141.3 km
Step-by-step explanation:
First crater has the radius (that is, half the diameter) of 7.5 km; the circumference of this crater is C = 2(pi)r, or 2(3.14)(7.5 km) = 47.1 km;
Second crater radius is C = 2(pi)(30 km) = 188.4 km
The circumference of the complex (larger) impact crater is
(188.4 - 47.1) km greater than the circumference of the simple (smaller) crater:
141.3 km
The debate team bought 20 matching T-shirts to split among its members. Each member of the team will get t T-shirts. Write an expression that shows how many people are on the debate team.
Answer:
20/t members are on the team
Step-by-step explanation:
From the question, we want to get the number of people on the team
20 T-shirts were bought
each of the team members got t T-shirts
To know the number of people on the team, we have to divide the number of shirts bought by the number of shirts gotten by each team member
We simply have this as 20/t
In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19
A. -5
B. -19
C. 2
D. 1/4
E. 8
Answer:
Leading coefficient is the coefficient of the highest power of x.
[tex]x^5[/tex] is the highest power.
Therefore, leading coefficient = [tex]\frac{1}{4}[/tex]
Option D
Answer:1/4
Step-by-step explanation:
Below. What is m∠1?
m∠1 =
Given:
The figure of a triangle.
To find:
The measure of angle 1.
Solution:
Exterior angle theorem: In a triangle, the measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
Using Exterior angle theorem, we get
[tex]101^\circ =31^\circ +m\angle 1[/tex]
[tex]101^\circ -31^\circ =m\angle 1[/tex]
[tex]70^\circ =m\angle 1[/tex]
Therefore, the measure of angle 1 is 70 degrees.
the florida gators football team recorded the following yardage in seven plays, 9, -3, -5, 0, 12, 20, and -4, order these from greatest to least
HELP ME REALLY FAST
I WILL MARK BRAINLIEST
WILL MARK BRAINLISET IF GOTTEN RIGHT!!
Answer:
12 cm
Step-by-step explanation:
OP = √(15² - (18/2)²)
=√(225- 9²)
=√(225-81)
=√144
= 12
help asap! will give brainliest!
Answer:
Step-by-step explanation:
What is the area of the kite?
Answer:
1.125 ft²
Step-by-step explanation:
Take the height and the diagonals, multiply, and then divide by 2