Answer:
(-8, -2)
Step-by-step explanation:
Combine these equations: You'll get 2y = -4, so that y = -2.
Substituting -2 for y in the second equation, you'll get -2 + x = -10, or x = -8
Thus the solution is (-8, -2)
What is the domain of this function
Answer:
Domain { -1,3,5}
Step-by-step explanation:
The domain is the input to the function
Domain { -1,3,5}
8
Do not write
outside the
box
9
A company sells houses
The line graph shows the number sold per week for 30 weeks.
Houses sold
9
8
7
Number 6
of weeks 5
4
3
2
1
0
0
5
1 2 3 4
Number of houses
9 (a)
Work out the range of the number of houses sold per week.
[2 marks]
Why am I just finding this?
When plotting on a scatter plot, is the time x or y?
Mary went up the Old Tower taking 3 steps per second. Then she carefully came down from the tower taking 2 steps per second. It took Mary 25 seconds longer to come down than to go up. How many steps does the Old Tower have?
Answer:
150 steps
Step-by-step explanation:
let the number of steps=x
time taken to go up=1/3×x=x/3 s
time taken to go down =1/2×x=x/2 s
now
[tex]\frac{x}{2} -\frac{x}{3} =25\\multiply ~by~6\\3x-2x=25 \times 6\\x=150[/tex]
I need help with this problem, if anyone could help ASAP, that would be much appreciated. Please do not answer if you don't know the answer because you're wasting my points. In the figure below, mROP = 125° Find the measure of each arc. For each arc, write two or more complete sentences explaining which theorem or postulate you used to find your answer. Include your equations and calculations in your final answer. find arc mRP, and arc MQS,
Answers:
minor arc RP = 125 degrees
minor arc QS = 125 degrees
============================================================
Explanation
Definition: A minor arc is a piece of a circle such that it is smaller than a semi-circle with the same radius. In other words, it's measure is always less than 180 degrees.
Based on this definition, a minor arc is where we take the shortest path between any two points on a circle. For minor arc RP, we start at R then go to the right and take the shortest path to P. We do not go left when we start at R because that's the longer path and it is the major arc.
Minor arc RP is subtended by central angle ROP = 120 degrees. This central angle is equal to the arc measure in question. This isn't really a theorem, but more a definition if anything.
Central angle QOS is equal to angle ROP through the vertical angles theorem. Any pair of vertical angles are always congruent. Since QOS is 125 degrees, so is minor arc QS.
Answer:
Arc RP is 125, Arc QS is 125, Arc QR is 55, and arc SP is 55
Step-by-step explanation:
We know Arc QS is 125 degrees because angle QOS is a vertical angle with Angle ROS, so Arc QS is 125, and ARC RP is 125. We can figure out the other two arcs using the knowledge that ARC QR is equal to arc PS because angle QOR an SOP are vertical angles and all the degrees have to add up to 360. From this we get 2x + 125 + 125 = 360. From here we simplify and get 2x + 250 = 360; 2x = 110; x = 55, so arc QR and ARC SP are both 55.
Hope this helps :)
The formula for the volume of a cylinder is V =
Answer:
A
Step-by-step explanation:
Let me know If you want me to explain it.
Answer:
A. h = V/(pi * r^2)
Step-by-step explanation:
V = pi r^2 h
Divide both sides by pi r^2.
V/(pi r^2) = h
The h variable is isolated now.
4c- 3 = x+15 pls help!!
Answer:
x = 4c - 18
Step-by-step explanation:
=> 4c-3 = x+ 15
Subtracting 15 to both sides
=> x = 4c-3-15
=> x = 4c - 18
Answer:
x=6
Step-by-step explanation:
4x- 3 = x+15
-1x -1x
3x- 3=15
+3 +3
3x=18
÷3 ÷3
x=6
Find the equation of the line
Answer:
y= 2x +12
Step-by-step explanation:
Given:
line y= 2x -7the point (-3. 6)The line parallel to the given has the same slope of 2, let's find the intercept using the given point:
y= 2x+b6= 2*(-3)+bb= 6+6= 12So the equation is:
y= 2x +12A triangle is rotated 90° about the origin. Which rule describes the transformation?
O (x, y) (-x,-y)
O (x,y) (-y, x)
O (x,y) (-y,-x)
O (x,y) → (y, -x)
Answer:
second option
Step-by-step explanation:
Under a rotation about the origin of 90°
a point (x, y ) → (- y, x )
The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
What is transformation?A transformation is a dramatic change in form or appearance. An important event like getting your driver's license, going to college, or getting married can cause a transformation in your life. A transformation is an extreme, radical change.
here, we have,
Rotation is a process in which the orientation of a given figure is changed by turning it about a point called origin. The rotation can be done either clock-wisely or counterclockwise about the origin.
If the given triangle is rotated 90° clockwise, the rule that describe the transformation is; (x, y) - (y, -x)
If the given triangle is rotated 90° counterclockwise, the rule that describe the transformation is; (x, y) - (-y, x)
In the given question, the required rule is; (x, y) - (y, -x). This shows a clockwise rotation of 90° about the origin.
Hence, The solution is, :A triangle is rotated 90° about the origin, then, (x, y) - (y, -x), this rule describes the transformation.
To learn more on transformation click:
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PLZ HELP!! HURRY!!!30POINTS!!
Answer & Step-by-step explanation:
For this problem, we will be using the tangent trig ratio because we are dealing with the opposite side and the adjacent side of the triangle. Although cosine may be a good ratio to use as well, it is not the best ratio to use because if you were to use the cosine ratio, you will have more steps to complete in order to solve the problem. Plus, we are not dealing with the hypotenuse side of the triangle. Therefore, it is best to use the tangent ratio because it is more efficient and it corresponds to the side lengths we are using.
On the next page, we are given a Venn Diagram. We are asked to tell the difference between finding the angle and finding the side. Then, we are asked to find the similarity between them.
When solving for the unknown side, you have to flip the equation because one of the sides will be known as a variable.
When solving for the unknown angle, you have to use the inverse of the trig ratio that you are using for that problem.
The similarity between the two is that they will always use one of the trig ratios.
help will give brainliest
Answer:
C. (-5, -7)
Step-by-step explanation:
This is correct because the points in Q3 are all negative and C is the only one that contains both negative numbers!
PLEASE MARK BRAINIEST AND HOPE THIS HELPS!!
Answer:
Ans is C(-5, -7)
Step-by-step explanation:
We know that in first quadrant all are positive and in second x is negative and y is positive and in third all are negative ans in four x is positive and y is negative so according to c option it,s the only one that lie in third quadrant because it has both value negative
what ordered pairs are the solutions of the system of equations shown in the graph below
Answer:
Step-by-step explanation:
One solution would be (1, -4), and the other would be (4, -7).
The ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In a order pair the first term indicates the x-coordinate, while the second term indicate the y-coordinates. The ordered pair are written in close bracket in the following way.
[tex](x,y)[/tex]
System of equation-
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.For the two equations plotted on a graph, the solution of the system is the point where one line intersect with others.In the given graph, one linear line and one parabola is shown. In this graph the parabola intersect with the line at point (1,-4) and (4,-7).
Thus, the ordered pairs which are the solutions of the system of equations shown in the graph below are (1,-4) and (4,-7).
Learn more about the ordered pair here;
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Which of the following is a unit of measurement used in the apothecary system?
A. Meter
B. Micrograms
C. Liters
D. Drams
you invest $1000 in an account at 2.5% per year simple interest. How much will you have in the account at the beginning of the 4th year? Round your answer to the nearest whole dollar. A. $1075 B. $3250 C. $1088 D. $1163
Answer:
Step-by-step explanation:
I = PRT
P = 1000
R = 2.5% or 0.025
T = 4
I = (1000)(.025)(4)
I=100
1000+100=1100
but the answer choices???
Find the area of the equilateral triangle
Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8
11 You deposit $1200 in an account. The annual interest rate is 3%. How long will it take you to earn S108 in simple interest?
Answer:
its wht u r searching for...
Answer:
3 yearsSolution,
Principal=$1200
Rate=3%=3/100=0.03
Interest=$108
Time=?
Now,
[tex]t = \frac{i}{p \times r} [/tex]
[tex] = \frac{108}{1200 \times 0.03} \\ = \frac{108}{36} \\ = 3 \: years[/tex]
Hope this helps...
Good luck on your assignment..
30m + 45m = 150 pls help!
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m = 150
m = 150/75
m =2
Answer:
m = 2
Step-by-step explanation:
30m + 45m = 150
75m =150
÷75 ÷75
m = 2
math question will give brainliest for the right answer
Answer:
53 sweets.
Step-by-step explanation:
The mean out of 10 bags of sweets is 42. That means that all the numbers of sweets added up would be 420.
39 + 40(2) + 41(5) + 43 + x = 420
39 + 80 + 205 + 43 + x = 420
367 + x = 420
x = 53.
So, in the 10th bag, there are 53 sweets and a sugar high for whoever eats that many sweets.
Hope this helps!
Answer:
X=53 sweets
Step-by-step explanation:
What should be subtracted from -5/4 to get -1? (i) -1/4 (ii) 1⁄4 (iii) 1 (iv) -3/4
Answer:
It's -1.
Step-by-step explanation:
-5/4 - (-1/4) = -1.
Answer:
Step-by-step explanation:
-1 - ( -5/4 )
= -1 + 5/4
1/4
Hope this helps
plz mark as brainliest!!!!
Find mZYCD
Y
21x-7
с
100° 5x+5
E
D
A) 1199
B) 140°
C) 1230
D) 40°
Answer:
B)140
Step-by-step explanation:
So a line is=180 and the interior angles of a triangle= 180, so I did some manipulations
1. 100 + (5x+5) + <ECD = 180. But we also know that (21x-7) + <ECD=180. With some manipulation we can find that <ECD= 180 - (21x-7), so we can plug that into the other equation
2. Now: 100 + (5x+5) + (180- (21x-7))= 180
3. Solve:
105+5x+180-21x+7=180
112-16x=0
112=16x
x=7
4. Plug x=7 into 21x-7= 140
What fraction of the students are girls give your answer in its simplest form
Answer:
45% of students are female or 15/32
Step-by-step explanation:
We find out their is 72 Boys and 60 Girls
We add both together to get 132 Students
Then we divide to get our number/fraction
60/132 = 15/32 or 45%
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The table represents a linear function. Two Columns Five Rows Column X (-2,-1,0,1,2) and Column Y (8,2,-4,-10,-16) What is the slope of the function? a. -6 b. -4 c. 4 d. 6
Answer: A
Slope = -6
Step-by-step explanation:
Given that the column of the table are:
Column X (-2,-1,0,1,2) and
Column Y (8,2,-4,-10,-16)
Since the table represent a linear function, the equation of the function will obey the general linear equation
Y = MX + C
Where M = slope
M = ( Y2 - Y1 ) / ( X2 - X1 )
Let Y1 = 8, Y2 = 2 and X1 = -2 and X2 = -1
Substitutes all the parameters into the formula
M = ( 2 - 8 )/( -1 - - 2 )
M = ( 2 - 8 ) / ( -1 + 2 )
M = -6/1
M = -6
Therefore, the slope of the function is -6
The ratio of girls to boys at a local elementary school is 3:4.
a. If there are a total of 45 girls in the school, how many boys are there?
b. At another school across town, the ratio of girls to boys is 5:7. How many total
students are there in the school if there are 95 girls at that ratio?
Answer:
a. 60 boys
b. 228 total students
Step-by-step explanation:
a. If there are 45 girls and the ratio of girls to boys is 3:4, then there are 60 boys. The common multiple is 15.
3 * 15 = 45
4 * 15 = 60
45:60 = 3:4
——————————
b. First we need to find out how many boys there are.
95 / 5 = 19
19 * 7 = 133
So, there are 133 boys and the given number of girls is 95. To find out how many total students there are, we need to add 133 and 95.
133 + 95 = 228
What is the probability of selecting a male from a group of 4
males and 8 females?
1
A 1/3
B 1/2
С 2/3
D 4/5
Answer:
[tex]P(Male) = \frac{1}{3}[/tex]
Step-by-step explanation:
Given
[tex]Male = 4[/tex]
[tex]Female = 8[/tex]
Required
Probability of selecting a male
First, we need to get the total population;
[tex]Total = Male + Female[/tex]
[tex]Total = 4 + 8[/tex]
[tex]Total = 12[/tex]
Let P(Male) represent Probability of Male
Let n(Male) represent number of Male
[tex]P(Male) = \frac{n(Male)}{Total}[/tex]
[tex]P(Male) = \frac{4}{12}[/tex]
Simplify fraction by dividing the numerator and denominator by 4
[tex]P(Male) = \frac{1}{3}[/tex]
Hence, the probability of selecting a male is 1/3
You work summer construction, and your hours may vary depending on the weather. The following table provides the number of hours you worked each day for the past week. On average, how many hours did you work per day? Sun. Mon. Tues. Wed. Thurs. Fri. Sat. Hours 5.5 12 9.5 11 7 10 8 8 9 10.5 12.6 63
Answer:
9
Step-by-step explanation:
The average is just another word for mean. You get the mean by adding all the numbers in a data set and then dividing by the number you added.
Convert the fraction 19/20 into a decimal
Step-by-step explanation:
19/20 in decimal form is 0.95
Answer:
0.95
Step-by-step explanation:
19 ÷ 20
Divide.
= 0.95
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
when f(x)=-3 what is x
Step-by-step explanation:
i think the answer is -3 only
Over what interval is the function in this graph decreasing?
A. -10 sxs-4
O B. 2 sxs6
O C. 6 sxs 10
O D. -4sxs 2
Answer:
The answer is D.
Step-by-step explanation:
Which step should be completed first in the following problem 10 (8x 15 - 7 - 4 x3)?