Answer:
[tex]\displaystyle 3x - 2y = 13\:or\:y = 1\frac{1}{2}x - 6\frac{1}{2} \\ [0, -6\frac{1}{2}] \\ 1\frac{1}{2} = m[/tex]
Step-by-step explanation:
First, figure the rate of change [slope] out:
[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-1 + 16}{-5 + 15} = \frac{15}{10} = 1\frac{1}{2} \\ \boxed{1\frac{1}{2} = m}[/tex]
Now locate the initial value [y-intercept] by plugging an ordered pair into the slope-intercept formula. It does not matter which ordered pair you use:
_______________________________________________
[tex]\displaystyle y = mx + b[/tex]
16 = 1½[15] + b >> [tex]\displaystyle 16 = 22\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]
OR
1 = 1½[5] + b >> [tex]\displaystyle 1 = 7\frac{1}{2} + b; -6\frac{1}{2} = b[/tex]
[tex]\displaystyle [0, -6\frac{1}{2}][/tex]
_______________________________________________
You now have your initial value. All that is left is to write the equation of this line, which can be written two ways:
> Slope-Intercept Form
[tex]\displaystyle y = 1\frac{1}{2}x - 6\frac{1}{2}[/tex]
> Standard Form [tex]\displaystyle [Ax + By = C][/tex]
y = 1½x - 6½
- 1½x - 1½x
___________
–1½x + y = –6½ [We CANNOT leave the equation this way, so multiply by –2 to eradicate the fraction\denominatour (if you wrote the equation as mixed numbers\if you wrote the equation as improper fractions).]
–2[–1½x + y = –6½]
[tex]\displaystyle 3x - 2y = 13[/tex]
With that, you have defined all the information.
[tex]\displaystyle -3x + 2y = -13[/tex]
*About this equation, INSTEAD of multiplying by –2, you multiply by its oppocite, 2. Now, you can leave it like this, but UNIVERSALLY, the A-term is positive, so you must multiply the negative out as well.
I am joyous to assist you at any time.
Olivia ran 4 km and Peter ran 5,186 m. How much farther did Peter run?
Answer:
He ran 1,186 m farther
Step-by-step explanation:
4 km => 4000 m
now,
5,186 m - 4,000 m
=> 1,186 m
What is the opposite of the opposite of 945?
Answer:
945.Step-by-step explanation:
The opposite of 945 is -945.
the opposite of -945 is 945.
The opposite of the opposite of 945 is 945.
What is 0.514 written as a power of 10?
Answer:
5.14 x10^-2
Step-by-step explanation:
We move the decimal 2 places to the left so it is to the power of -2
What is the slope of the line shown?
Step-by-step explanation:
I think y axis and x axis shows the light colour not sure about it
x : y = 9:7
Form an equation that links x and y.
Answer:
x/y = 9/7
Step-by-step explanation:
One way to form the equation is to write the proportion using a division symbol instead of a colon:
x/y = 9/7
__
If you like, you can solve this for y:
y = 7/9x
major has 25 free minutes left until he needs to head to tennis practice he already spent four of the minute playing a video game what is the maximum number of minutes he can spend doing homework be for he needs to leave for practice
one step inequality word problems
Answer:
ok so he has 25 minutes in total and then we need to subtract the time hes alredy used so
25-4=21
so he has 21 minutes to do homework
Hope This Helps!!!
What is the slope of the line graphed below?
Answer:
B. 1/5
Step-by-step explanation:
Start at point (1,-2)
Then, go right 1 and up 5 to reach point (2,3)
Hello If You Have Please Help Thank You
Solve for x.
−7x−15<6
Answer:
x > -22/7
Step-by-step explanation:
Given inequality:
- 7x - 15 < 6
adding 15 to both sides:
==> -7x - 15 + 15 < 6 + 16
==> -7x < 22
dividing both sides by 7:
==> -x < 22/ 7
multiplying both sides by -1
(anytime you multiply the inequality by -1 you must flip the inequality sign– replace the "<" with ">")
==> x > -22/7
Solve. The perimeter of a triangle is 50 centimeters. Find the lengths of its sides, if the longest side is 8 centimeters longer than the shortest side, and the remaining side is 3 centimeters longer than the shortest side.
Answer:
The side lengths are 84, 63 and 28
Step-by-step explanation:
The shortest side of a triangle is 13 cm.
How to estimate the shortest side of a triangle?Let x be the longest side
y be the shortest side
z be the other side
x + y + z = 50 ...........(1)
x = y + 8 ...........(2)
z = y + 3 ............(3)
Replace x with y+8 in equation 1
Replace z with y + 3 in equation 1
To estimate the value for y,
(y+8) + y + (y+3) = 50
Simplifying the above equation, we get
3y + 11 = 50
3y = 50-11
3y = 39
y = 39/3
y = 13 cm
Therefore, the shortest side of a triangle is 13 cm.
To learn more about perimeter of a triangle
https://brainly.com/question/9338173
#SPJ2
10 Solve the quadratic equation algebraically. Give solution(s) in exact values. 4.5x2 + 72 = 0
Answer:
4i and -4i
Step-by-step explanation:
4.5x^2 = -72
x^2 = -16
x=-4i, 4i
Find a formula for the linear function passing through the points (-1,14) and (2,-10)
A(-1;14), x=-1, y=14
B(2;-10), x=2, y=-10
General equation for linear function is [tex]y=mx+b[/tex]
Let's solve system of equations
[tex]\displaystyle\\\left \{ {{14=-1m+b} \atop {-10=2m+b}} \right. \\\\\left \{ {{b=14+m} \atop {2m+b=-10}} \right. \\\\2m+(14+m)=-10\\3m=-24\\m=-8=>b=14+(-8)=6\\\text{Answer}: y=-8m+6[/tex]
The area of math dealing with the collection, display, and analysis of data is called__.
Answer:
Statistics
Step-by-step explanation:
a branch of mathematics dealing with the collection, analysis, interpretation, and presentation of masses of numerical data
A figure is dilated by a
factor of 5. By what factor
will the area of the figure
change?
Answer:
25/36
Step-by-step explanation:
y = 6x - 11
-2x – 3y = -7
Answer:
y=6x-11
-2-3y= -7
open bracket
collect like terms
= -11 -2 -7 =
-×- = +
11+2=12-7=5
35 POINTS PLEASE HURRY I NEED THIS TURNED IN ASAP
A survey was conducted to determine how many movies were seen in one month among the 26 students in Mrs. Hampton's sixth-grade class. The results are shown in the dot plot below.
a) Calculate the measures of center for the
data in the dot plot, rounding your answers to
the nearest tenths place. Show how you
determined your answer.
b) Are there any overall patterns in the data
set? Striking deviations? Use mathematical
reasoning to justify your answer.
c) Calculate the measures of spread for Mrs.
Hampton's class data. Justify your response
by describing the process used to find each
measure.
d) Which is a better measure of spread:
range or interquartile range? Why?
e) What does the value of the mean absolute
deviation tell you about the spread of the
data?
GIVING BRAINLIEST TO WHOEVER ANSWERS ALL QUESTIONS
Answer:
The mode if 5, because 5 occurs 8 times, which is more than any other numbers occurring more than once. The median is 6, and this is because when you line up the numbers in order and cross them off to find the middle number, it is 6. I rounded to the mean to about 6.4. I got this by adding all of the numbers up, or by doing 12 + 40 +18 +7, etc, and got the total of 165. Because there is a total of 26 data points, I divided those numbers and got 6.3461, which ends up rounding to 6.4.
Step-by-step explanation:
I just did it
im having trouble with this one
Answer:
18
Step-by-step explanation:
90 degree angle so
90-54=36
36 / 2 = 18
Which is greater 2/3 or 4/8?
Answer:
Solution:
Here,the denominators are 3 and 8
Multiples of 3=3,6,9,12,15,18,21,24.....Multiples of 8=8,16,24,32,40......Same smallest number=24We have,3×8=24 and 8×3=24.
Now,
[tex] \displaystyle{ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} }[/tex]
[tex] \displaystyle \frac{4}{8} = \frac{4 \times 3}{8 \times 3} = \frac{12}{24} [/tex]
Since,16>12,
So,
[tex] \displaystyle \: \frac{16}{24} > \frac{12}{24} [/tex]
i.e.
[tex] \displaystyle \frac{2}{3} > \frac{4}{8} [/tex]
Method of cross product:
[tex] \displaystyle \: \frac{2}{3} \: or \: \frac{4}{8} [/tex]
[tex] \displaystyle2 \times 8 = 16 \: \: \: \: \: > \: \: \: \: \: 3 \times 4 = 12[/tex]
[tex]16 > 12[/tex]
[tex] \displaystyle \therefore \: \frac{2}{3} > \frac{4}{8} [/tex]
[tex] \displaystyle{Thus,the \: fraction \: \frac{2}{3} \: is \: greater \: than \: the \: fraction \: \frac{4}{8} . }[/tex]
Step-by-step explanation:
[tex] \frak \green{BrainlyFairy}[/tex]
Solution:
Step-1: Make the denominators of both fractions the same.
2/3 and 4/8=> 2 x 8/3 x 8 and 4 x 3/8 x 3=> 16/24 and 12/24Step-2: Compare both the fractions.
16/24 and 12/24 = 2/3 and 4/8=> 16/24 > 12/24Since 16/24 is greater than 12/24, 2/3 is greater than 4/8.
a tower that is 125 feet tall casts a shadow that is 172 feet long. find the angle of elevation of the sun
Answer:
36°Step-by-step explanation:
Let the height of the tower is a and the shadow is b.
When connected, these segments form a right triangle.
We are looking for the angle x opposite to side a.
Use trigonometry to find it:
tan x = a/btan x = 125/172tan x = 0.7267x = arctan 0.7267x = 36°Each marble bag sold by Carmen's Marble Company contains 3 red marbles for every 2 purple marbles. If a bag has 12 purple marbles, how many red marbles does it contain?
Answer:
18
Step-by-step explanation:
Please help me and please dont say something thats not related to my post. Also please explain your answer so I can understand it.
Answer:
A.9
Step-by-step explanation:
it asks how many the shelf can hold which would mean you should divide :
Find the area of the trapezoid.
A.23.75cm^2
B.67.5cm^2
C.115cm^2
D.57.5cm^2
Answer:
D
Step-by-step explanation:
A=(1/2)(5)(13.5+9.5)=57.5
Answer:
D. 57.5cm^2
Step-by-step explanation:
Please help me And please dont say anything that does not relate to what I posted because people keep doing that to me and its annoying. THANK YOU!!
Answer:
The answer is in the picture :)
Step-by-step explanation:
1. What kind of correlation is shown? (see #1 above)
O positive
negative
no correlation
O constant correlation
What is the probability that out of 60 lambs born on BaaBaa Farm, at least 35 will be male? Assume that males and females are equally probable, and round your answer to the nearest tenth of a percent.
Answer:
32.1%
Step-by-step explanation:
Out of 60 lambs born on BaaBaa farm, the most amount of 35 to be male? The answer is 32.1% because if you round it to the nearest tenth, The answer will be 32.1%.
A system of equations is created by using the line represented by 2x+4y= 0 and the line represented by the data in
the table below.
X
-1
3
у
8
-4
5
-10
-13
6
What is the x-value of the solution to the system?
Submit
PLEASE HELP ME AND PLEASE DON'T PUT A COMMENT THAT DOESNT RELATE TO MY QUESTION BECAUSE IM RUNNING OUT OF POINT PEOPLE. THANK U SO MUCH I VERY MUCH APPRECIATE IT.
Answer:
Step-by-step explanation:
part a is -6
part b is -7.5
Answer:
Step-by-step explanation:
Part A:
warmer than => -
=> 7-13=-6
Part B:
Hours between 11 pm and 5 pm = 6.
6*(-1,25)=-7,5
Tomas painted 5/8 of each tile with blue paint.
He painted 62 tiles. What is the total amount of
times that he painted blue?
Answer:
38.75
Step-by-step explanation:
62*5/8=38.75
Answer:
38 3/4
Step-by-step explanation:
5/8 of 62 = 5/8 x 62
= (5 x 62) ÷ 8
= 310 ÷ 8
= 38 3/4
3 4 5 6 7 8 9 10
TIME REMAINING
55:15
Suppose the temperature increases 8º to -7ºF. What was the starting temperature?
a.
15º
c.
-13º
b.
-20º
d.
-15º
Please select the best answer from the choices provided
A
B
C
D
Answer:
If it INCREASES then it is going closer towards zero since it is negative. So subtract 8 from (-7) and you get -15
so D is your answer
What is the regular price for a bicycle is $210.19. The sale price is $43.48 less than the regular price. What is the sale price and show how do you know.
Answer:
$166.71
Step-by-step explanation:
210.19 - 43.48 = 166.71
Find the original price of a pair of shoes if the sale price is $60 after a 60% discount.
What is the original price?
Answer:
The original price was $100
Step-by-step explanation:
[tex]\frac{60 dollars}{x} = \frac{60 percent}{100 percent} \\x = \frac{100percent*60dollars}{60 percent}\\ x = 100 dollars[/tex]