What is the slope of the line that passes through the points (4,7) and (5,3)?
Answers
where your slope is negative four
I will be showing you the graphing method.
To find the slope of the line using the graphing method,
we start by plotting our two points.
We will call (4,7) point A and (5,3) point B.
Now daw a line that contains these points.
Now remember that the slope or m is equal to the rise/run.
So to get from point A to point B, we rise -4 units
and run 1 unit so our slope is -4/1 or -4.
Related Questions
A lock requires a 3 number combination using the numbers 0 through 9, none of which may be repeated. How many outcomes are possible?
48
720
12010
Answers
Answer:
720
Step-by-step explanation:
The lock requires that repetition is not allowed.
The possibles numbers are 0 - 9, that is, 10 digits.
The first number in the combination can be picked from the 10 digits.
This means that there are 10 possible choices.
The second number in the combination can now only be picked from 9 digits.
This means that there are 9 possible choices.
The third number in the combination can now only be picked from 8 digits.
This means that there are 8 possible choices.
Therefore, the number of possible outcomes in the combination is:
10 * 9 * 8 = 720 outcomes
A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8.8 m/s at an angle of 23 SE from the window. It hits the ground 5s later. (A) how far horizontally from the building does the ball land on the ground? (B) find the height that the ball was thrown from
Answers
Answer:
a)40.5m
b)139.5m
Step-by-step explanation:
Considering downward as 'positive' y-direction
[tex]x_i=0\\y_i=0\\v_i=8.8m/s\\a_x=0\\a_y=g\\\theta = 23\degree\\t=5s[/tex]
First is to resolve initial velocity into x and y component:
[tex]v_x_i=v_icos\theta = 8.8 \times cos(23)= 8.1m/s\\v_y_i=v_isin\theta = 8.8 \times sin(23)= 3.4m/s\\[/tex]
a) in order to find horizontal position of the ball:
[tex]x_f=x_i+v_x_it+\frac{1}{2} a_xt^2[/tex]
[tex]x_f= 8.1\times5=40.5m[/tex]
b) To find the height that the ball was thrown from(vertical position):
[tex]y_f=y_i+v_y_it+\frac{1}{2} a_yt^2\\y_f=(3.4\times 5)+(\frac{1}{2} \times9.8\times5^2)\\y_f=139.5m[/tex]
In December, Sara's Sodas produced 4.0 million liters of the beverage. Manufacturing overhead was $1,435,000 and the cost per liter was $0.47. Labor costs were 25 percent of materials cost. Required: a. Calculate the materials cost for December.
Answers
Answer:
The material cost for December = $356,000
Step-by-step explanation:
The manufacturing overhead is the sum of the indirect costs that come from the manufacturing process except labor and materials
Hence, whereby the cost per liter = $0.47, we have;
Total volume produced = 4.0 million liters
Manufacturing overhead = $1,435,000
Total cost = Cost per liter × Total volume produced
∴ Total cost = 4 × 10⁶ × $0.47 = $1,880,000
Hence the cost of labor + materials = Total cost - Manufacturing overhead
the cost of labor + materials = $1,880,000 - $1,435,000 = $445,000
Labor cost = 25% material cost = 0.25 × material cost
∴ 0.25 × material cost + material cost = $445,000
1.25 × material cost = $445,000
material cost = $445,000/1.25 = $356,000
Which gives labor cost = 0.25 × $356,000 = $89,000
The material cost for December = $356,000.
Please help! Correct answer only!
A raffle has 1,000 tickets. One ticket will win a $830 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
Answers
Answer:
" Expected Payoff " ⇒ $ 0.830
Step-by-step explanation:
Consider the probability of entering 1 ticket out of the 1000 entered;
[tex]Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83[/tex]
Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )
Simplify the following exponential expression.
14405c4
- 166c-14
Answers
14405c•4-166c-14
57620c-166c-14
57454c-14
I hope this helps!
Please please please help !!!
Figure ABCD is reflected about the y-axis to obtain figure A′B′C′D′:
A coordinate plane is shown. Figure ABCD has vertices A at 2 comma 5, B at 1 comma 2, C at 3 comma 1, and D at 4 comma 5. Figure A prime B prime C prime D prime has vertices A prime at negative 2 comma 5, B prime at negative 1 comma 2, C prime at negative 3 comma 1, and D prime at negative 4 comma 5.
Which statement best describes the relationship between the two figures? (4 points)
A)Figure ABCD is similar to figure A′B′C′D′.
B)Figure ABCD is bigger than figure A′B′C′D′.
C)The measure of angle D is equal to the measure of angle A′.
D)The measure of angle D is equal to the measure of angle B′.
Answers
Answer:
A
Step-by-step explanation:
These shapes are not identical, because the angles and sides are mirrored, but much like a mirrored object, they are similar. Another way to explain it is when you look into a mirror what you are seeing is not what people see when they see you with their eyes, it's a REFLECTION!
The correct option is Option A: figure ABCD is similar to A′B′C′D′.
What is reflection?Reflection is the translation of the figure about an axis or point so that the distance of the reflected figure from the axis is the same as the distance of the original figure from the axis.
When a point of coordinate (x,y) is reflected about the y-axis then the coordinate of the reflected point will be (-x,y).
In quadrilateral ABCD the coordinate of A is (2,5) and the coordinate of A' is (-2,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point A' is the reflection of point A.
In quadrilateral ABCD the coordinate of B is (1,2) and the coordinate of B' is (-1,2). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point B' is the reflection of point B.
In quadrilateral ABCD the coordinate of C is (3,1) and the coordinate of C' is (-3,1). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point C' is the reflection of point C.
In quadrilateral ABCD the coordinate of D is (4,5) and the coordinate of D' is (-4,5). Here the coordinate of y is unchanged and the x coordinate is changed negatively. So point D' is the reflection of point D.
So all the points of quadrilateral ABCD are reflected about the y-axis.
As it is a reflection about the y-axis for which the size will not be changed and both the reflected and the original figure will be similar.
Therefore the correct option is Option A: figure ABCD is similar to A′B′C′D′.
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Solve:2/3 - 4x +7-2= -9.x +5/6
x = -3/2
x = -2/3
X=2/3
X=3/2
Answers
Answer:
2/3-4x+7-2=-9.x+5/6
2/3+7/1-2/1-5/6=-9.x+4x
12+126-36-15/18=-5x
87/18=-5x
29/6=-5x
29/6÷5=-5x÷5
29/6*1/5=-5x÷5
29/30=-x
-29/30=x
-0.9667=x
4. In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST SP and
m
130°
80°
65°
50°
Answers
In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?
Answer: 80°
Step-by-step explanation:
ST = SP and m∠R = 130°
If m∠R = 130°, then,
QPS = 130° ( Opposite angles of a parallelogram are equal)
QPS + SPT = 180° (angle on a staght line)
130° + SPT = 180°
SPT = 180° - 130° = 50°
PTS = SPT = 50° (Base Angle of an isosceles triangle)
m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)
m∠PST = 80°
Manish and Jhanavi each receive an equal bonus. Manish has 1/2 fraction of allowance as saving accounts , 1/4 of the fraction he spend at the mall. Jhanavi has 1/3 fraction of allowance as saving accounts , 3/5 of the fraction she spend at the mall. If the allowance of each is Rs. 2520,find the amount left with Manish and Jhanavi?
Answers
Answer:
Step-by-step explanation:
Manish:
[tex]Savings=\frac{1}{2}*2520\\\\= Rs.1260\\\\Amount spend at mall=\frac{1}{4}*2520\\\\=Rs.630[/tex]
Amount left with Manish = 2520 - (1260 + 630) = 2520 - 1890 = Rs. 630
Jhanavi:
Savings = (1/3) *2520 = Rs. 840
Amount spend at mall = (3/5) * 2520
= 3 * 504
= Rs. 1512
Amount left with Jhanavi = 2520 - (840 +1512) = 2520 - 2352
= Rs. 168
I don't understand this math problem need help plz!
Answers
Answer:
A' (-4, - 7), B' (-5, -4), C' (-4, -3), D' (-3, -4)
Step-by-step explanation:
When rotating about the origin at an angle of 90° in the counterclockwise direction, the given values of (x, y) are interchanged with y also taking a negative sign. That is ;
(x, y) - - - -> (-y, x)
Therefore, in the question above ;
Translation = (x-2, y+3)
A =(-5, 1) = (-5 - 2, 1 + 3) = (-7, 4) - - -> A' = (-4, - 7)
B =(-2, 2) = (-2 - 2, 2 + 3) =(-4, 5) - - -> B' = (-5, -4)
C =(-1, 1) = (-1 - 2, 1 + 3) = (-3, 4) - - -> C' = (-4, -3)
D =(-2, 0) = (-2 - 2, 0+3) =(-4, 3) - - -> D' = (-3, -4)
what the answar for 9+4t=7t+15
Answers
Answer:
t= -2
Step-by-step explanation:
9+4t=7t+15
Subtract 4t from both sides
9=3t+15
Subtract 15 from both sides
-6=3t
3t= -6
Divide both sides by 3
t= -2
Select all the equations where y=10equals, is a solution.
Choose 2 answers:
A
y+11=22
B
8=18-y
C
60=6y
D
y/5=4
E
10y=20
Answers
Answer:
B and C
Step-by-step explanation:
A. y + 11 = 22 → subtract 11 from both sides:
y = 11
---------------------------------------------------------------------------
B. 8 = 18 - y → subtract 18 from both sides:
-10 = -y → divide both sides by -1:
10 = y
----------------------------------------------------------------------------
C. 60 = 6y → divide both sides by 6:
10 = y
-----------------------------------------------------------------------------
D. [tex]\frac{y}{5}[/tex] = 4 → multiply both sides by 5:
y = 20
-----------------------------------------------------------------------------
E. 10y = 20 → divide both sides by 10:
y = 2
Solve the equation for y: x = 2y - 3
Answers
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
solve the question 2 (3x plus 5) Square - 16 = 0 buy completing the square
Answers
Answer:
1/3(4√2/2- 5)
-1/3(4√2/2 + 5)
Step-by-step explanation:
2(3x+5)² -16=0
2(3x+5)²=16
(3x+5)² = 4²/2
3x+5= 4/√2 ⇒ 3x= 4/√2- 5 ⇒ x= 1/3(4√2/2- 5)
3x+5= -4√2 ⇒ x= -1/3(4√2/2 + 5)
Is ½% greater than or less that one hundredth?
Answers
Answer:
1/2 Is Greater
Step-by-step explanation:
If you have HALF of 100 you have have 50. If you have 1/100 of 100 you have 1. Therefore, 50>1, so 1/2 is greater.
Meaning 0.5% is equal to 0.005 or 1/200
We also know that 1/100 is equal to 0.01
So... as the first one is smaller in value, it is less than.
Hope this helps! :)
A fair dice is rolled.
Work out the probability of getting a factor of 8.
Give your answer in its simplest form.
Answers
Answer:
1/2
Step-by-step explanation:
The factors of 8 are 1,2,4
So there are three factors of 8 on the dice
There are a total of 6 numbers on the dice
So the probability is ,3/6
Which in its simplest form is 1/2
A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?
Answers
Answer:
Both lights would flash together after every 30 seconds.
Step-by-step explanation:
6 = 2 * 3 and 10 = 2 * 5.
LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.
Therefore, both lights wold flash together after every 30 seconds.
Answer:
every 30 seconds.
Step-by-step explanation:
I'm a banana
I'm a banana
I'm a banana
Look at me move, yeah yeah
I'm a banana
I'm a banana
I'm a banana
Look at me move, ah
Banana power
Banana power
Banana power
Power
Banana power
Banana power
Banana power
Look at me move
Uh oh banana time
Uh oh banana time
Uh oh banana time
Stop
Stop
Stop
Carts, farts, marts, darts
Hearts, starts, carts, marts
Carts, marts, darts, farts
Darts, starts, hearts, ah
Chicken, chicken, chicken
I am
Chicken, chicken
Chicken
Stop
Look at me
Look at me move
I'm a banana
I'm a banana
I'm a banana
yes
PLEASE HELP!!Write an algebraic expression to represent the following verbal expression.
eight more than the product of a number and 100
Select one:
O a. 100x + 8
O b. 100x - 8
O c. 100 + 8x
O d. 8 - 100x
Answers
Answer:
work is pictured and shown
An expression to represent the given verbal expression is,
⇒ 100x + 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The verbal expression is,
''Eight more than the product of a number and 100.''
Let an number = x
So, We can formulate;
⇒ Eight more than the product of a number and 100.
⇒ 8 + x × 100
⇒ 8 + 100x
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write 3.25 x 10^4 as a ordinary number
Answers
Answer:
32500
Step-by-step explanation:
[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]
Answer:
32500
Step-by-step explanation:
3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500
Which graph represents a function??
Answers
Answer:
To be a function a graph must pass the vertical line test and the only one that does this is the bottom right one.
Answer:
Bottom Right
Step-by-step explanation:
A function has only one y value for every x value. The upper left graph has many y values for the x value of 1, the bottom left graph has two y values for each x value and so does the upper right graph. the Bottom right graph is the only option with one y value for every x value.
Please help! select the correct answer
Answers
Answer:
the answer is show me your kitty cat
Step-by-step explanation:
What is the range of the function 2x + y = 7
if the domain is {-4, -2,0, 5, 7)?
Answers
Answer| range: {15, 11, 7, -3, -7}
Step-by-step explanation:
Plug in the domain to find the range:
x = 4
2(-4) + y = 7
-8 + y = 7
y = 15
x = -2
2(-2) + y = 7
-4 + y = 7
y = 11
x = 0
2(0) + y = 7
0 + y = 7
y = 7
x = 5
2(5) + y = 7
10 + y = 7
y = -3
x = 7
2(7) + y = 7
14 + y = 7
y = -7
Simplify the expression:
6b – 2b+ 5b – 8
Answers
Answer:
9b-8
Step-by-step explanation:
6b+5b-2b-8
11b-2b-8
9b-8
find the permimter of the quadrilateral if x=2 the perimiter is in inches the perimiters are (4x2+8x) (31 ) (7x+30) (3x2-5x+20)
Answers
Answer:
115
Step-by-step explanation:
4*2+8(2) = 24
31
7(2)+30 = 44
3*2-5(2)+20 = 6-10+20 = -4+20 = 16
24+31+44+16
115
3(2^2) -5(2)+20 = 12 - 10 + 20 = 22
4(2^2) +8(2) = 16 + 16 = 32
P = 31 + 44 + 22 + 32 = 129
The perimeter is 129 inches
Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wanda jumped rope? A. m = 25j B. m + j=25 C. 25 = j - m D. j = 25m
Answers
Answer:
I think it's A) bro,
Step-by-step explanation:
on the test write now soooo...
What is the slope of the line that passes through the points (6,-10) and
(3, -13)? Write your answer in simplest form.
Answers
Answer:
1
Step-by-step explanation:
The slope intercept form for this problem is y = x - 16
Factor completely 3x2 − x − 4.
Answers
Answer:
(3x-4)(x + 1)
Step-by-step explanation:
first, split the middle term,
3x^2-x-4
= 3x^2 + 3x - 4x - 4
= 3x( x+ 1) - 4( x + 1)
= (3x-4)(x + 1)
plz mark as brainliest
Answer:
(3x − 4)(x + 1)
Step-by-step explanation
What is the sum of the first five terms of a geometric series with a = 10 andr
= 1/5?
Answers
Answer:
12.496
Step-by-step explanation:
Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.
Mathematically, that would be;
Sn = a(1-r^n)/1-r
where Sn = ?
a = 10
r = 1/5 = 0.2
n = 5
Substituting these values into the equation above, we have;
Sn = 10(1-(0.2)^5)/1-0.2
Sn = 10(0.99968)/0.8
Sn = 12.496
Brian & Paul share a lottery win of £7800 in the ratio 1 : 4. Brian then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?
Answers
Answer:
The wife gets £468 over the son
Step-by-step explanation:
Firstly, we shall calculate the total amount Brian made from from what he and Paul won.
The ratio is 1:4, meaning for every 2 part Brain takes, Paul takes 4
Paul’s share is thus 1/5 * 7800 = 7800/5 = £1560
Now we have another ratio for sharing the amount Brain has at home.
The total ratio here is 1+6+3 = 10
The share of the wife will be 6/10 * 1560 = 6 * 156 = 936
The son share is half of this which is 936/2 = 468
The difference between their shares is £936-£468 = £468
The graph of a linear function is shown
Which word describes the slope of the line?
positive
negative
zero
undefined
Answers
Answer:
the answer is b
Step-by-step explanation:
plz give me a Brainliest
A word that describes the slope of the line is negative. The correct answer is option B.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data. It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
For this case the first thing you should know is that we have an equation of the form:
y = mx + b
Where,
m: The slope of the line
b: Cutting point with the vertical axis.
For this case, we observe that the values of y decrease when the values of x increase. Therefore, the function decreases.
This means that it is true that:
m < 0
Therefore, the slope of the line is negative.
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