Answer:
y = x + 16
Step-by-step explanation:
Step 1: Find slope of perpendicular line
Take the negative reciprocal of the 1st line
m = 1
Step 2: Find b
y = x + b
14 = -2 + b
b = 16
Step 3: Write equation
y = x + 16
Answer:
y = x + 16
Step-by-step explanation:
Given the equation y = -x - 1, we see that the slope (the coefficient of the x term) is -1. A line perpendicular to this one has a slope which is the negative reciprocal of the given equation: +1.
Using the point-slope formula for the equation of a straight line, we get:
y - 14 = +1(x + 2), or y - 14 = x + 2, or y = x + 16
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
When plotting on a scatter plot, is the time x or y?
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 :)
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
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..
Solve for x by finding the missing side of the triangle. Round your answer to the nearest tenth.
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}
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
12-3*y=0 help and explain plss
12-3*y = 0
Subtract 12 from both sides:
-3 * y = -12
Divide both sides by -3:
y = 4
Answer:
y=4
Step-by-step explanation:
Standard form:
−3y + 12 = 0
Factorization:
−3(y − 4) = 0
Solutions:
y = 12/3 = 4
Isolate the variable by dividing each side by factors that don't contain the variable:
y=4
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
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
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
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square.
A 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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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
Which of the following is a testable hypothesis? A. Garden plants grow better in wet soil than in dry soil. B. Cats have a completely different personality in comparison to dogs. C. Classical music is better than jazz because stringed instruments, like violins, are used. D. After a long discussion, the people at the meeting finally agreed that it was time for lunch.
Answer:
A. Garden plants grow better in wet soil than in dry soil.
Step-by-step explanation:
A testable hypothesis is theory that can actually be proven by facts rather than opinions
Which of the following is a unit of measurement used in the apothecary system?
A. Meter
B. Micrograms
C. Liters
D. Drams
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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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.
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%
MARK AS BRAINLIEST
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]
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?
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
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
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
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???
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
Hey guys help me find x and measure of angle pleasee
Answer:
95 degrees
Step-by-step explanation:
Since the sum of the angles in a quadrilateral must add up to 360 degrees:
95+85+Z+85=360
Z+265=360
Z=95 degrees
Hope this helps!
Answer:
Z = 95°
Step-by-step explanation:
if W = Y => X = Z => Z = 95°
What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)