Write the slope-intercept form of the equation of the line (1,-4) with a slope of -2
Answer:
B
Step-by-step explanation:
General equation
y = mx + b
m = the slope
b = the y intercept
Slope
y = -2x + b
y intercept
use the point to get the y intercept.
x = 1
y = - 4
Subsitute these values into the incomplete equation under slope
-4 = -2(1) + b
-4 = - 2 + b Add 2 to both sides
-4+2 = b
b = - 2
Answer
y = -2x - 2
Answer:
y = -2x - 2
Step-by-step explanation:
When given a point and a slope, we use slope-intercept formula:
y - y1 = m (x - x1)
m = slope point: (1,-4)
y - y1 = m (x - x1)
y - (-4) = -2 (x - 1)
y + 4 = -2x + 2
- 4 - 4
y = -2x - 2
To check our answer, I attached the graph.
A 20 foot ladder leans against the a house forming a 75° angle with the house. Exactly how far is the base of the ladder from the house?
Check the picture below.
Make sure your calculator is in Degree mode.
Can any one help with y = 2x + 4
6x – 3y = -12 system by substitution I’m so confused??
I will give you 50points
Answer:
It's in the screenshot hope it helpsss
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
y = 2x + 4 Substitute this for y in the second equation
6x - 3y = -12
6x - 3(2x + 4) = - 12 Substitute this for y for 2x + 4
6x - 3(2x) -3(4) = - 12 Distributive property
6x - 6x - 12 = - 12
(6x - 6x) -12 = - 12 like terms together
0 - 12 = - 12 Simplify
-12 = -12 True equation so x is equal to any number and you have the same equation
A parallelogram is cut out of a 12-inch by 8-inch sheet of paper. There are four right triangle remnants. Two have the dimensions 2 inches by 9 inches, and the other two have the dimensions 3 inches by 6 inches.
A parallelogram is shown. An altitude is drawn from one point to the opposite side to form a right angle. The length of the base is 9.22 inches.
The resulting parallelogram has a base of approximately 9.22 inches.
Complete the following steps to calculate the altitude of the parallelogram using area methods.
The area of the sheet of paper is
square inches.
The combined area of the triangle cutouts is
square inches.
The area of the parallelogram is
square inches.
The altitude of the parallelogram rounded to two decimals is
square inches.
The area of a shape is the amount of space it occupies.
The area of the paper is 96 square inchesThe combined area of the triangle cutouts is 36 square inchesThe area of the parallelogram is 60 square inchesThe altitude of the parallelogram is 6.51 inchesThe area of the paperThe dimension of the paper is given as: 12-inch by 8-inch
So, its area is:
[tex]Area = 12 * 8[/tex]
[tex]Area = 96[/tex]
Hence, the area of the paper is 96 square inches
The area of the trianglesThe dimensions of the 4 right triangles are: Two 2 inches by 9 inches, and two 3 inches by 6 inches
So, the combined area is:
[tex]Area = 0.5(2 * 2 * 9 + 2 * 3 * 6)[/tex]
[tex]Area = 36[/tex]
Hence, the combined area of the triangle cutouts is 36 square inches
The area of the parallelogramThe area of the parallelogram is the difference between the areas of the paper and the four right triangles.
So, we have:
[tex]Area = 96 - 36[/tex]
[tex]Area = 60[/tex]
Hence, the area of the parallelogram is 60 square inches
The altitude of the parallelogramThe base is given as 9.22
So, we have:
[tex]Area = Base * Altitude[/tex]
This gives
[tex]60 = 9.22* Altitude[/tex]
Divide both sides by 9.22
[tex]Altitude = 6.51[/tex]
Hence, the altitude of the parallelogram is 6.51 inches
Read more about parallelograms at:
https://brainly.com/question/4459854
Answer: The area of the paper is 96 square inches
The combined area of the triangle cutouts is 36 square inches
The area of the parallelogram is 60 square inches
The altitude of the parallelogram is 6.51 inches
Step-by-step explanation:
It is estimated that 52% of drivers text while driving. Part A: What is the probability that exactly 3 drivers text while driving if a police officer pulls over five drivers? (5 points) Part B: What is the probability the next driver texting while driving that the police officer pulls over is the fifth driver? (5 points)
Answer:
Step-by-step explanation:
Find the value of the variable.
A. 7
B. 3
C. 3.5
D. 1.5
Answer: 3.5
Step-by-step explanation:
It is an intersection of a tangent and a secant.
122=9(9+2a)
144=81+18a63= 18a3.5=a
Took test as well!
The numerical value of 'a' in the secant segment of the circle is 3.5.
What is the numerical value of 'a'?The secant-tangent power theorem states that "if a tangent and a secant are drawn from a common external point to a circle, then the product of the length of the secant segment and its external part is equal to the square of the length of the tangent segment."
It is expressed as:
( tangent segment )² = External part of the secant segment × Secant segment.
From the diagram:
tangent segment = 12 ft
The external part of the secant-segment = 9 ft
Secant segment = ( a + a + 9 ) = 2a + 9
To determine the value of 'a', we use the secant-tangent power theorem.
12² = 9 × ( 2a + 9 )
Solve for 'a':
144 = 18a + 81
144 - 81 = 18a
63 = 18a
a = 63/18
a = 3.5
Therefore, 'a' has a value of 3.5.
Option C) 3.5 is the correct answer.
Learn more about the secant tangent power theorem here: brainly.com/question/26407978
#SPJ2
The amount of money in a saving account increase from $250 to $270 what is the precent increase of the money in the savings account
Answer:
8%
Step-by-step explanation:
percent increase = [ (difference between initial value and final value) ÷ initial value] x 100
⇒ percent increase = [ (270 - 250) ÷ 250] x 100 = 8%
Answer:
12.5
Step-by-step explanation
270 - 250 = 20
250 divided by 20 = 12.5
So therefore the percentage in the increase is 12.5
PLEASE HELP GIVING BRAINLIEST
Answer:
seq 1 : 9 , 11, 13, 15, 17
seq 2: 5, 8, 11, 15, 18
seq 1: 20, 16, 12, 8, 4,
seq 2: 20, 17, 14, 11, 8,
seq 1: 1, 2, 5, 11, 23
seq 2: 40, 24, 16, 12, 10
Step-by-step explanation:
im not sure if the ordered pairs i had in mind are correct so im not listing them
Answer:
Attach are the sequences
Step-by-step explanation:
Hope this helps!
help imma need those answers
Answer:
y=1/2x
Step-by-step explanation:
It looks like it
Which ordered pair is the solution to the following system of equations? x + y = 7 2x + 3y = 10
Answer:
The solution for x + y = 7 & 2x + 3y = 10 is at (11,-4)
Answer: (11,-4)
Hope this helps!
if x=6 find the value of x+4. 3x. x/2 all as different answer please
Answer:
x+4=10 3x=18 and x/2=3
Step-by-step explanation:
x=6 substituting the value,
x+4
=6+4
=10
3x
=3×6
=18
x/2
=6/2
=3
victor buys some six packs of soda for a party he buys 42 cans in all how many six packs of soda did victor buy?
Answer:
7
Step-by-step explanation:
42÷6=7
Pretty easy question in my opinion
A camera cost $276 before GST. Ravi bought the camera and paid an additional 7% GST of the price. How much did Ravi pay for the camera?
Consider isosceles ΔXYZ.
Answer:
n = 3
XY = 39 ft
XZ = 39 ft
Step-by-step explanation:
If we rotate the triangle 90° to the right we can see that the congruent angles are now on the bottom, making it the "more commonly seen isosceles triangle" we know.
This means that the two legs will be congruent to each other, so we can set them equal and solve for n:
(9n + 12) = (15n - 6)
9n + 12 = 15n - 6
9n + 18 = 15n
18 = 6n
6n = 18
n = 3
Now we can plug this value of n (3) into one of the expressions to solve for the legs. Since they will be the same length we only need to do one, but I will do both to make sure my work is as correct as possible:
XY
9n + 12
9(3) + 12
27 + 12 = 39
XZ
15n - 6
15(3) - 6
45 - 6 = 39
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
If the total length of all the meteors were distributed equally between each meteor, how long would each one be?
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has no data points. The second tick mark is three eighths and has one data point. The third tick mark is four eighths and has no data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has one data point. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighth and has one data point. The tenth tick mark is one and three eighths and has one data point. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has one data point. The fourteenth tick mark is one and seven eighths and has no data points.
Question 2 options:
one and one thirty sixth inches
one and one thirty eighth inches
one and one fortieth inches
one and one forty second inches
Answer:
your answer is d i do beleive i hope i helped:) and also please mark me brainlest
Step-by-step explanation:
Answer:
D is wrong And so is A i just did the test
Step-by-step explanation:
I'm sure its either B or C
I WILL GIVE BRAINLIEST
Solve for m.
-3/7 equals 12
A. m= -28
B. m= -26
C. m= 26
D. m= 28
Hey there!
ASSUMING!
-3/7m = 12
IF SO!
DIVIDE -7/3 to BOTH SIDES
-7/3 * -3/7m = 12 * 7/3
CANCEL out: -7/3 * (-3/7) because it give you 1
KEEP: 12 * (-7/3) because it give you the m-value
NEW EQUATION: m = 12 * (-7/3)
SIMPLIFY IT!
m = -28
Therefore, your answer is: m = -28
(Option A)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
see image below. please hurry!!
Answer:
A: 6/8 B: 1 2/8
Step-by-step explanation:
1) Count the number on spaces between the lines and then you get your denominator (bottom number of a fraction or in all)
2) Count to the line the letter is on and that will get your numerator (top number of a fraction or part of the denominator)
Note: I didn't know how to explain the numerator so...
How many hours do unicorns fly for 4 hours
Answer:
24 hours
Step-by-step explanation:
Answer:
4 hours sound good
Guys I need help Problem solving
Question: If 5 men can reap a field in 9 days, how many days 15 men take to reap the field
Answer:
...................3
Answer:
It will take 3 days
Step-by-step explanation:
5x3=15
so 9/3=3
3 days
450kg divided into the ratio of 7:2
Answer:
7:2
350:100
[tex] \frac{7}{9} \times 450kg = 350kg[/tex]
[tex] \frac{2}{9} \times 450g = 100kg[/tex]
5d/9 = 10 What does d equal? (Please explain)
Answer:
d=10
Step-by-step explanation:
first you divide 5d by 5 to cancel it self out and make it only d.
Then divide 10 by 5.
you should then get 2
question: what is the graph of y= -x+2
Answer:
[A]
Step-by-step explanation:
ill give brainliest if correct pls help
Answer:
i do not now the answer for 1 question but the answer for 2 question is
1.24/3 =.41 and 13.75/15=.91 interest the first month.
Step-by-step explanation:
YOU HAVE AT MOST 7 HOURS TO SPEND AT A FAIR AND A BEACH. YOU WANT TO SPEND AT LEAST 2 HOURS AT THE FAIR AND MORE THAN 3 HOURS AT THE BEACH. WRITE A SYSTEM TO REPRESENT THE SITUATION
Let x be the number of hours at the fair and y be the number of hours at a beach.
x + y < 7
{ at most 7 hours at a beach and the fair }
x > 2
{ at least 2 hours at the fair }
y > 4
{ more than 3 hours at a beach }
Graph the system accordingly
Please help w mathematics
Answer:
x = -5
x = 5
x = -3, 3 is the incorrect answer
Show that
[tex]\sqrt[3]{3}+\sqrt{2}\ \textgreater \ \sqrt[3]{9}\ \textgreater \ \sqrt[4]{13}[/tex]
[tex]\;[/tex]
[tex]\Large\textrm{Note}[/tex]
1. Use of calculator is not allowed.
2. Use of approximated value is not allowed.
Answer:
See belowStep-by-step explanation:
Use same power to compare the values
Prove the first part:
[tex]\sqrt[3]{3}+\sqrt{2} >\sqrt[3]{9}[/tex][tex]\sqrt[6]{3^2}+\sqrt[6]{2^3} >\sqrt[6]{9^2}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8} >\sqrt[6]{81}[/tex][tex]\sqrt[6]{9}+\sqrt[6]{8}> \sqrt[6]{8}+\sqrt[6]{8}=2\sqrt[6]{8}=\sqrt[6]{8*64} =\sqrt[6]{512} >\sqrt[6]{81}[/tex][tex]512 > 81[/tex]Prove the second part:
[tex]\sqrt[3]{9} >\sqrt[4]{13}[/tex][tex]\sqrt[12]{9^4} >\sqrt[12]{13^3}[/tex][tex]\sqrt[12]{6561} >\sqrt[12]{2197}[/tex][tex]6561 > 2197[/tex]Solve: 97 x 104. 270,000 87,000 9,700,000 6,700
Answer:
I got 10,088
Step-by-step explanation:
If that is Incorrect, I would pick 6,700 .
100 POINTS HELP ASAP Linear Combination
Answer:
1) [tex]x=\dfrac12[/tex]
2) [tex]n = -3 \ \ \textsf{and} \ \ m = -4[/tex]
3) see below
4) A: 0 = 1
Step-by-step explanation:
Question 1
[tex]15-0.5(4x-2)+4x=17[/tex]
[tex]\implies 15-2x+1+4x=17[/tex]
[tex]\implies 2x+16=17[/tex]
[tex]\implies 2x=1[/tex]
[tex]\implies x=\dfrac12[/tex]
Question 2
[tex]\textsf{rearrange} \ n=m+1 :[/tex]
[tex]\implies -m=-n+1[/tex]
[tex]\textsf{add equations} \ -m=-n+1 \ \textsf{and} \ m=2n+2:\\[/tex]
[tex]\implies0=n+3[/tex]
[tex]\implies n=-3[/tex]
[tex]\textsf{substitute} \ \ n=-3 \ \ \textsf{into} \ \ m=n-1:[/tex]
[tex]\implies m=-3-1[/tex]
[tex]\implies m=-4[/tex]
Question 3
subtract the second equation from the first
divide both sides by -4
substitute found value for y into first equation
solve for x
Question 4
[tex]3j=k[/tex]
[tex]k=3j+1[/tex]
[tex]\textsf{rearrange} \ 3j=k :[/tex]
[tex]\implies -k=-3j[/tex]
[tex]\textsf{add equations}\ -k=-3j \ \ \textsf{and}\ \ k=3j+1:[/tex]
[tex]\implies 0=1[/tex]
Solution = A
PLEASE HELP!!
Directions: Circle the answer to each question. Colo the picture with the color assigned to the number of your answer choice. Please use the substitution method the solve (Please provide work as well.)
1)
2x + 1 = 6x -116x-2x = 1 + 114x = 12x = 3y = 2x + 1y = 2(3) + 1y = 72)
3x + 5 = 5x - 53x - 5x = -5-5-2x = -10x = 5y = 3x +5y = 3(5) + 5y = 203)
4x - 2 = x + 103x = 12x = 4y = 4x - 2y = 4(4)-2y = 144)
7x - 5 = 3x + 37x - 3x = 3 + 54x = 8x = 2y = 3x + 3y = 3(2)+3y = 95)
-2x + 4 = -3x + 5-2x + 3x = 5 - 4x = 1y = -2x + 4y = -2(1) +4y = 26)
-5x - 3 = 4x + 15-5x - 4x = 15 + 3-9x = 18x = -2y = 4x + 15y = 4(-2) + 15y = 77)
-x + 7 =2x-11-3x = -18x = 6y = -x + 7y = -6 + 7y = 18)
6x - 2 = -2x + 148x = 16x = 2y = 6x -2y = 6(2) - 2y = 10convert mixed number 5/6 x 2 1/2
Answer:
2 and 1/12
Step-by-step explanation:
you need to take 2 1/2 and convert it to the common denominator of 6
so 1/2 * 3 = 3/6. and 2*6 = 12. add the 12 and 3 to get 15/6. which is equivalent to 2 1/2
so multiply 15/6 * 5/6 and get 75/36 to get or 2 and 3/36. reduce down to 2 and 1/12