Find the slope of the line that passes through (10, 63) and (94, -7).
Answer:
The slope is [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
Hi there!
We are given two points: (10, 63) and (94, -7)
We want to find the slope that passes through these lines
We can use the slope formula to find it
The formula for slope calculated from two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label their values to avoid confusion:
[tex]x_1=10\\y_1=63\\x_2=94\\y_2=-7[/tex]
Now substitute these values into the formula:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-7-63}{94-10}[/tex]
Subtract the numbers:
m=[tex]\frac{-70}{84}[/tex]
Divide:
m=[tex]-\frac{5}{6}[/tex]
The slope of the line is [tex]-\frac{5}{6}[/tex]
Hope this helps!
44. Out of 461 applicants for a job, 168 have over 10 years of experience and 73 have over 10 years of experience and have a graduate degree.
Step 1 of 2: What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience? Enter a fraction or round your answer to 4 decimal places, if necessary.
Answer:
6.3151
Step-by-step explanation:
461 ÷ 73 = 6.31506
it gets rounded to the 4th decimal place of to 6.3151
new question!! pls help lol ty
Answer:
1: a. x=120, b. x=19, 2: mOPR=137, mSRQ=140, mPQT=83
Step-by-step explanation:
1.
a. since x is an exterior angle, we know x is the sum of the other 2 interior angles. the box in the corner means that angle is a right angle, or 90 degree angle. so x = 90 + 30, s=120
b. again, 103 is an exterior angle so 103 = 47-x +2x+38. simplify to get 103 = x+84, so x=19
2.
OPR is an exterior angle so mOPR = mPQR + mPRQ, or 2y+15 = 97 + y-21. simplify and solve for y to get y=61. plug this into 2y+15 to get mOPR = 137.
because SRQ is an exterior angle, it equals RPQ + PQR. first we need to find RPQ. since PQR is a triangle, PQR + PRQ + RPQ = 180. PRQ = y-21 = 40. so RPQ=180-97-40 = 43. so SRQ = 43+97 = 140. (you could also use the fact that PRQ + SRQ = 180)
the exterior angles added up together = 360, so OPR + SRQ + PQT = 360. plug in the known values to get PQT = 360 - 137 - 140 = 83
Solve for y
3x + 2y = 9
Answer:
y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given: 3x + 2y = 9
Get y alone: 2y = -3x + 9
Get y alone part 2: y = -[tex]\frac{3}{2}[/tex]x + 4[tex]\frac{1}{2}[/tex]
Unless we have an x value this is as far as we can solve. Have a nice day! :D
(side note: it is now also in slope-intercept form!)
Which linear equation represents a line with a slope of 94 and a y-intercept of 0?
1). y = 9/4y
2). y = x + 9/4
3). x = 9/4x
4). y=9/4x
Answer:
4)
Step-by-step explanation:
I think that you meant slope of 9/4. Number 4 would be correct because slope intercept form would be y=mx+b, where m is the slope and b is y intercept. Since b=0, you don't have to add anything, so it would just be y=9/4x
Answer:
4) [tex]y=\frac{9}{4}x[/tex]
Step-by-step explanation:
This is a linear equation in slope-intercept form:
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
1) [tex]y=\frac{9}{4}y[/tex] --- this is just a false equation that cannot be a line.
2) [tex]y=x+\frac{9}{4}[/tex] --- this is a line with a slope of 1 and a y-intercept of 9/4
3) [tex]x=\frac{9}{4}x[/tex] --- this is also false
4) [tex]y=\frac{9}{4}x[/tex] --- this is a line with a slope of 9/4 and a y-intercept of 0.
Please help thank you
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2-5)(x2+2)
Step-by-step explanation:
6x⁴-5x²+12x²-10
collect the like terms
(6x⁴+12x²)-(5x²-10)
6x²(x²+2)-5(x²+2)
(6x²-5)(x²+2)
Find the values of x and y that make the quadrilateral a parallelogram. (4x + 13) (4y + 7)º (3x - 8) (5x - 12)
The sum of angles in a parallelogram adds up to 360 degrees
The values of x and y are 25 and 15, respectively.
The angles are given as:
[tex]\mathbf{\angle 1 = 4x + 13}[/tex]
[tex]\mathbf{\angle 2 = 4y + 7}[/tex]
[tex]\mathbf{\angle 3 = 3x - 8}[/tex]
[tex]\mathbf{\angle 4= 5x - 12}[/tex]
The opposite angles of a parallelogram are equal.
So, we have:
[tex]\mathbf{4x + 13 = 5x - 12}[/tex]
Collect like terms
[tex]\mathbf{5x - 4x = 13 + 12}[/tex]
[tex]\mathbf{x = 25}[/tex]
Simiarly, we have:
[tex]\mathbf{4y + 7 = 3x -8}[/tex]
Substitute 25 for x
[tex]\mathbf{4y + 7 = 3 \times 25 -8}[/tex]
[tex]\mathbf{4y + 7 = 75 -8}[/tex]
[tex]\mathbf{4y + 7 = 67}[/tex]
Subtract 7 to both sides
[tex]\mathbf{4y = 60}[/tex]
Divide both sides by 4
[tex]\mathbf{y = 15}[/tex]
Hence, the values of x and y are 25 and 15, respectively.
Read more about quadrilaterals at:
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Someone lease help. Please actually do the problem, don’t just answer nonsense
Answer:
5 and 1
Step-by-step explanation:
for the first one, replace x with 2 and then do 6-1=5
for the second one replace x with 1. 1 to the second power is 1
expland and simplify 2(x+7) 3(x+1)
Answer:
2(x+7) = 2x+14 / 3(x+1) = 3x+3
Step-by-step explanation:
When you see equations with parenthesis, that means you must do distributive property. So, whatever number is outside of the parenthesis, you multiply it by all the number inside of the parenthsis.
Answer:
6x² + 48x + 42
Step-by-step explanation:
2(x + 7) 3(x + 1) ← multiply the integers
= 6(x + 7)(x + 1) ← expand factors using FOIL
= 6(x² + 8x + 7) ← distribute parenthesis by 6
= 6x² + 48x + 42
How to remember all the formula of Math pie ( for my exam)
Answer:
perennials in education
Your cell phone plan costs $24.99 per month plus $0.13 for each text message you send or receive. You have at most $28 to spend on your cell phone bal. What is the maximum number of text messages that you can send or receive next month?
Someone plz help me :(
Answer: 6 feet
Step-by-step explanation: 12 x6 =72 or 72/12 =6
Please help me out on this math problem!! :) Will give brainliest!
Solve the system by substitution y=5x y=-x+30
Answer:
Step-by-step explanation:
y = 5x
y = x + 30
Substitute y = 5x in second equation:
5x = x+ 30
4x = 30
x = 7.5.
and y = 5*7.5 = 37.5.
Taxable income is a person's gross income minus
O A. hours worked
O B. allowable deductions
C. profits
O D. revenue
Taxable income is a person's gross income minus allowable deductions.
The correct option is B.
As, Any gross income that is used to determine how much tax you owe is referred to as taxable income.
This is equal to your AGI less the total of either your itemized deductions or the standard deduction, whichever is greater, and, if available, the qualifying business income deduction.
So, Taxable income is a person's gross income minus allowable deductions.
Thus, the ideal solution is B.
Learn more about Taxable income here:
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A new car is purchased for $26,000 and over time its value depreciates by one half
every 7 years. How long, to the nearest tenth of a year, would it take for the value of
the car to be $8,800?
HELP ASAP!!!!!!!!!!!
hi can i be brainliest this is easy the answer is 27374
A scuba diver at a depth of −12 ft (12 ft below sea level), dives down to a coral reef that is 3.5 times the diver's original depth. What is the diver's new depth?
Answer:
-42 ft
Step-by-step explanation:
Heyyyy help please please please
Answer:
% Decrease = 19.2 ; 19.2%
Step-by-step explanation:
% Decrease = (Original Price - New price)/ Original price × 100
% Decrease = (78 - 63)/78 × 100
% Decrease = 15/78 × 100
% Decrease = 19.23
a submarine descends 480 ft and 24 seconds the submarines elevation changes at a constant rate what is the elevation change of the submarine after 8 Seconds
Answer:
The submarine would be 900 below the ocean surface after 12 minutes assuming it started its descent at the surface of the ocean.
Step-by-step explanation:
The formula for distance traveled (in this case the distance a submarine descends) over a period of time is:
d
=
r
⋅
t
where
d
is the distance traveled (or descended),
r
is the rate of travel and
t
is the time.
In this problem we are told the rate,
r
is 75 feet per minute. And, we are told the time,
t
, to calculate for which is 12 minutes.
-4y+4=10x standard form ik its 10x+4y=4 but you need to simplify more please help i need to get it in an hr
Answer:
x= (2/5)-(2y/5) (Im not sure if this is what you need but this is the answer simplified)
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve.
What is the value of x and y in the following figure?
Answer:
Step-by-step explanation:
x = 75°
75° + 75° + a = 180°
a + 150° = 180°
a = 180° - 150°
a = 30°
y + 30° = 90°
y = 90° - 30°
y = 60°
I hope I've helped you
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex] \boxed{x = 75 \degree}[/tex]
and
[tex] \boxed{y = 60 \degree}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
As it's shown in the figure, the sides opposite to x and Angle 75° are equal. So the corresponding Angles are also equal to one another.
that is ~
[tex]x = 75 \degree[/tex]I have taken an angle and marked it as " m " in the attachment.
So, according to Angle sum property of a triangle,
[tex]m + x + 75 \degree = 180 \degree[/tex][tex]m + 75 \degree+ 75 \degree= 180 \degree[/tex][tex]m + 150 \degree= 180 [/tex][tex]m = 180 \degree - 150 \degree[/tex][tex]m = 30 \degree[/tex]now, it's given that the sum of Angle y and Angle m is 90°
hence,
[tex]m + y = 90 \degree[/tex][tex] 30 \degree + y = 90 \degree[/tex][tex]y = 90 \degree - 30 \degree[/tex][tex]y = 60 \degree[/tex]
[tex]s = \frac{w - 10e}{m} [/tex]
I'm trying to solve for w
9514 1404 393
Answer:
w = ms +10e
Step-by-step explanation:
The basic idea is to undo what is done to w. Here, 10e is subtracted, and the difference is divided by m. We undo these in reverse order. To undo the division, we multiply by m. To undo the subtraction, we add the quantity that was subtracted. Any operation that we perform must be done to both sides of the equation.
[tex]s = \dfrac{w - 10e}{m}\qquad\text{given}\\\\ms=w-10e\qquad\text{multiply by $m$}\\\\ms+10e=w\qquad\text{add $10e$}[/tex]
Usually, you want to write that with w on the left:
w = ms +10e
8x+80=180
solve for x
Answer:
solution 25 over 2
Step-by-step explanation:
Answer:
x=12.5
Step-by-step explanation:
Solution,
8x +80 = 180
or, 8x = 180-80
or, x = 100/8
or, x = 12.5
.:. x = 12.5
Stanley has$200 in a savings account that earns 5%interestperyear.Theinterestisnotcompounded.Howmuchwillhehaveintotalin1year?
Answer: He will get 10$ in interest, so 210$ in total.
Find a value for x that makes the equation true. 3(10 - x) = 6
Answer:
x=8
Step-by-step explanation:
3(10-x)=6
30-3x=6
-30. -30
-3x/-3= -24/-3
Divide -3 to both sides
x=8
Brainliest please
Hope this helps :D
Hello I need help
A farmer wants to fence in a rectangular area that is mile wide by mile long, as shown in the picture.
Which of the following proportions can the farmer use to calculate how many feet of fencing he will need?
Answer:
It is the first one. A 3/4 / x = 1mile/ 5280 ft.
Step-by-step explanation:
Answer:
is the first one. A 3/4 / x = 1mile/ 5280 ft.
Step-by-step explanation:
Tickets to a carnival cost $2.50 each plus a $2.00 fee for buying them online. Riley has $15.00 and wants to buy tickets for himself and some friends. How many friends can he invite
Answer:
If bought online, 2 If bought in person, 5
Step-by-step explanation:
Answer:
Assuming he is buying online, he can invite 4 friends plus himself.
Explantation:
Tickets for four friends
2.50 x 4 = 10
The he adds himself
10+ 2.50= 12.50
Then he adds the flat fee
12.50+2= 14.50
Mom is getting food ready for my birthday party! Including
me, there will be 24 people at the party. Mom is baking
cupcakes for us! She can bake 16 cupcakes per batch.
How many batches should I tell Mom to make so we can
each have 4 cupcakes?
Answer:
6 batches
Step-by-step explanation:
24 people x 4 cupcakes = 96 cupcakes
96 cupcakes / 16 per batch = 6 batches
Hope this helped, have a nice day! :)