[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 5 -3}{2}~~~ ,~~~ \cfrac{ -8 + 4}{2} \right)\implies \left(\cfrac{2}{2}~~,~~\cfrac{-4}{2} \right)\implies (1~~,~~-2)[/tex]
Evita is solving the system of equations shown using the elimination method. first equation: 3x+8y=20 second equation: 5x−2y=4 what operation will eliminate one of the variables?
a. multiply the first equation by 2
b. multiply the first equation by 4
c and multiply the second equation by 2
d. multiply the second equation by 4
Answer:
d. multiply the second equation by 4
6 1/2 + 5 7/8 what is the answer?
Answer:
12 3/8
Step-by-step explanation:
6 1/2 + 5 7/8 =
= 6 4/8 + 5 7/8
= 11 11/8
= 11 + 8/8 + 3/8
= 11 + 1 + 3/8
= 12 3/8
SOMEONE PLEASE HELP ME WITH THIS!! ILL GIVE YOU BRAINLIST ANSWER
IMAGE BELOW
Answer:
[tex]\sqrt{51[/tex]
Step-by-step explanation:
6^2 + 8^2 = y^2 (Pythag)
100 = y^2
10 = y
7^2 + x^2= 10^2
49+ x^2 = 10^2
x^2 = 51
The lengrh of a rectangle is represented by the function L(x) = 5x. The width of that same rectangle is represented by the function W(x) = 2x^2 - 4x + 13. Which of the following shows the area of the rectangle in terms of x?
Step-by-step explanation:
just multiply the 2 together to get the area
it would just be
[tex](5x) \times (2{x}^{2} - 4x + 13)[/tex]
use the distributive property
[tex]10 {x}^{3} - 20 {x}^{2} + 65[/tex]
unless you want to simplify the answer, this would be the answer
simplified, it would be
[tex]5(2{x}^{3} - 4 {x}^{2} + 13)[/tex]
Which function is modeled in this table
X
f(x)
1
1000
2
800
3
640
4
512
Answer:
[tex]f(x)=1250*(\frac{4}{5})^x[/tex]
Step-by-step explanation:
What is 800divided by the a times the 9 3 times?
Answer:
21600/a
Step-by-step explanation:
800/a *9
7200/a
21600/a
First, times 800 divided by a by 9.
Then, we get 7200/a.
Lastly, times it by 3.
The answer is 21600/a
Sussy mcsuser
Poop noobs
if a type of salami at the deli costs 1.59 per 100 g how much will you pay for 350 g? pls help and explain how to do it
Answer:
[tex]\huge\boxed{\sf 350\ g\ salami = 5.565}[/tex]
Step-by-step explanation:
From the question:
100 g salami = 1.59
Divide 100 to both sides
1 g salami = 1.59/100
1 g salami = 0.0159
Multiply both sides by 350
350 g salami = 0.0159 × 350
350 g salami = 5.565
[tex]\rule[225]{225}{2}[/tex]
Can someone help me with this problem?
Answer:
yes
Step-by-step explanation:
4:8 and 3:6 when simplified gives the same result which is 1:2
Answer:
A.) Yes, they do catch fish at the same rate.
Daniel:
4 : 8
Lester:
3 : 6
Both of these ratios have a rate of 1 catfish for every 2 trout. Daniel has just caught 1 more catfish and 2 more trout.
4 - 1 = 3
8 - 2 = 6
Both have a rate of catching 1 catfish for every 2 trout.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
please help fast I dont know the answer
Helen bought 5 pounds of oranges. She sliced
2 pounds of oranges to bring to a party. How
many pounds of oranges does Helen have left?
Answer:
3 oranges
Step-by-step explanation:
Helen has 5 pounds of oranges
2 pounds of oranges are brought to a party, so they are gone
5-2 = 3
Helen will only have 3 oranges left.
nearest whole number of
3÷80.81
Answer:
0.04
Step-by-step explanation:
3÷80.81= 0.037
to the nearest whole number = 0.04
Complete the statement using <, >, or =.
55% of 60 __ 60% of 65
Answer:
Less than(<)
55% of 60 is 33
60% of 65 is 39
when solving problems with percentage, always multiply x, your decimal form of the percentage, by y, the often whole number part you are multiplying the percentage by.
[tex]0.55 * 60 = 33\\0.60 * 65 = 39[/tex]
note that if the percentage is for example 30%, it will be 0.3, while if it were 3%, it would be 0.03 to avoid confusion.
That said, the answer is less than.
If x^2 - 6xy = z - 9y^2, make x the subject of the formula
[tex]~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z[/tex]
A cone has a base with a diameter of
12 inches and a height of 15 inches. What
is the volume of the cone in
cubic inches
using 3.14 for 77?
Answer:
452.16 in^3
Step-by-step explanation:
Volume of a cone = 1/3 pi r^2 h
= 1/3 (3.14)(6^2) (12)
Find the root of the equation 2x (x -8)=(x + 1)(2x – 3).
Answer: 1/5
Step-by-step explanation:
The root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4. To find the root of the equation 2x(x - 8) = (x + 1)(2x - 3), we need to solve for the value of "x" that makes both sides of the equation equal.
First, let's expand both sides of the equation:
2x(x - 8) = (x + 1)(2x - 3)
[tex]2x^2 - 16x = 2x^2 - x - 3x + 3[/tex]
Now, combine like terms on the right-hand side:
[tex]2x^2 - 16x = 2x^2 - 4x + 3[/tex]
Next, subtract [tex]2x^2[/tex] from both sides to get the x terms on one side:
-16x = -4x + 3
Now, bring all the x terms to one side by subtracting -4x from both sides:
-16x + 4x = 3
Simplify the left-hand side:
-12x = 3
Finally, solve for x by dividing both sides by -12:
x = 3 / -12
x = -1/4
So, the root of the equation 2x(x - 8) = (x + 1)(2x - 3) is x = -1/4.
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PLEASE HELP! WILL GIVE BRAINLIEST
Answer:
See below ~
Step-by-step explanation:
The equation which represents 1/12 :
1 ÷ 12 = ___The division equation which represents 1/14 :
1 ÷ 14 = ___Answer:
Question 3:
C) 1 divided by 12 _
Question 4:
A) 1 divided by 14 _
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005. The table gives the number of tickets sold for each
concert. Select the points that represent this data.
Year
Tickets Sold
(thousands)
10
2000
2001
10
2002
20
2003
40
2004
55
2005
70
90
80
70
(so
The points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on graph.
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005.
The table gives the number of tickets sold for each concert. Select the points that represent this data.
Tickets Sold (thousands) Year 10 200010 200120 200240 200355 200470 2005The graph which represent the data in the data is attached below year wise.
For the first point, select the value 10 on graph vertically at year 2000. Similarly, select all the points on the graph for the table.
Thus, the points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on the graph.
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A committee of four is chosen at random from a group of 8 women and 5 men. Find the probability that the committee contains at least one man. Answer:
Convert the units to the nearest tenth.
Enter the correct answer in the box.
Show Hints
kilometers = 50 miles
Answer:
80.5
Step-by-step explanation:
Which is the equation in slope-intercept form for the line that passes through (−1, 5) and is parallel to 3x + 2y = 4? y=−32x+72 y=23x+72 y=−23x+72 y=32x−72
Which is the equation in slope-intercept form for the line that passes through (−2, 15) and is perpendicular to 2x + 3y = 4?
y=32x+18
y=32x−12
y=23x+18
y=−32x+18
Which best describes the relationship between the lines?
2x – y = −1
4x – 2y = 6
parallel
same line
neither
perpendicular
1. The equation in slope-intercept form is: y = -3/2x + 7/2
2. y = -3/2x - 18
3. Both lines have the same slope, they are therefore parallel.
What is the Equation in Slope-intercept Form for Parallel Lines?Two lines that are parallel will have the same slope (m), and is represented by the equation in slope-intercept form as, y = mx + b.
1. Rewrite 3x + 2y = 4 in slope-intercept form:
2y = -3x + 4
y = -3x/2 + 4/2
y = -3/2x + 2
The slope is -3/2. Therefore, the slope (m) of the line that passes through (-1, 5) would be -3/2.
Substitute m = -3/2, and (a, b) = (-1, 5) into y - b = m(x - a):
y - 5 = -3/2(x - (-1))
y - 5 = -3/2(x + 1)
Rewrite in slope-intercept form:
2(y - 5) = -3(x + 1)
2y - 10 = -3x - 3
2y = -3x - 3 + 10
2y = -3x + 7
y = -3x/2 + 7/2
y = -3/2x + 7/2
2. The slopes of perpendicular lines are negative reciprocal to each other.
Rewrite 2x + 3y = 4
3y = -2x + 4
y = -2/3x + 4/3
The slope of the ine that passes (-2, 15) would be -3/2.
Substitute (a, b) = (-2, 15), and m = -3/2 into y - b = m(x - a):
y - 15 = -3/2(x - (-2))
y - 15 = -3/2x - 3
y = -3/2x - 3 - 15
y = -3/2x - 18
Therefore, the equation in slope-intercept form of the line that passes through (-2, 15) is: y = -3/2x - 18.
3. Given the equations, 2x – y = −1 and 4x – 2y = 6:
Rewrite in slope-intercept form and find their slope
2x - y = -1
-y = -2x - 1
y = 2x + 1 (slope if 2)
4x - 2y = 6
-2y = -4x + 6
y = -4x/-2 + 6/-2
y = 2x - 3 (slope is 2)
Both lines are therefore, parallel.
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Mariam sells tires for $90 each and a service plan for $50. One customer
pays $410 for some tires and the service plan. Which equation represents
how many tires, t, the customer purchased?
A 410 = 50 + 90t
B 410 = 90 + 50t
© 410 = 50t + 90
D 410 = 90(4t) + 50
Answer:
the answer is A
Step-by-step explanation:
410 is the total amount paid
so 50 dollars was a base fee for the service charge
and 90 was per tire. Because we dont know how many tires she bought 90 x number of tires(t) = 90t
so 410 dollars = 50 dollars(service fee) + 90 dollars ( multilied by number of tires "t")
Find the equation of a line perpendicular to y = 4 + x that passes through the
point (-3, 3).
Answer:
y=-1/4x+9/4
Step-by-step explanation:
Get slope of the line first (to find slope that is perpendicular, get the negative reciprocal)
4 turns into -1/4
To get the y-intercept, plug in the given coordinate values into this formula:
y=mx+b
3=-3(-1/4)+b
3-3/4=b
b=9/4
b is our y-intercept
9/4 is our y-intercept
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
[tex]y = 4 + x\implies y = \stackrel{\stackrel{m}{\downarrow }}{1}x+4\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}slope-intercept~form\\\cline{1-1}\\y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}}\\\\\cline{1-1}\end{array}[/tex]
so therefore
[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{1\implies\cfrac{1}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{1}\implies -1}}[/tex]
so we're really looking for the equation of a line whose slope is -1 and passes through (-3 , 3)
[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-1}(x-\stackrel{x_1}{(-3)}) \\\\\\ y-3=-(x+3)\implies y-3 = -x-3\implies y = -x[/tex]
Jill Barley obtained a 25-year, $145,117 mortgage loan from University Savings and Loan Association. The
interest rate is 6 percent. The monthly payment is $1,800.00. For the first payment, what is he interest?
Answer:
175,424.02
Step-by-step explanation:
multiply 145,117 by 106%
multiply 1800 by 12 (months in a year)
add 21600 to 153,824.02
can someone please help me with this!!!!
A race car is equipped with jets that can make it go from 0 to 64 mph (about 28 m/s) in 4 seconds. What is the acceleration of the car using its jets?
Answer:
So that it can run faster
Answer:
[tex]a = change \: in \: v \div time[/tex]
Step-by-step explanation:
Change in V =28-0
=28
time =4 sec
Therefore acceleration =28 ÷4
7m/s^-2
last year the hiking club had 19 members. this year there are 37 members in the club. estimate the percetnage change in the number of club members
PLEASE HELP ASAP!!!! WILL GIVE BRAINIEST TO BEST ANSWER!
Answer:
63√6 cm
Explanation:
Perimeter is the total measure of all sides.
Solve:
15√6 + 12√54 + 6√24
factorize
15√6 + 12√6(9) + 6√6(4)
apply radical rule: √ab = √a √b
15√6 + 12√6 √9 + 6√6 √4
simplify
15√6 + 12(3)√6 + 6(2)√6
multiply
15√6 + 36√6 + 12√6
add similar terms
63√6
Answer:
63√6 cmStep-by-step explanation:
Perimeter : Sum of the sides
15√6 cm is already in simplest form6√24 = 6√(4 × 6) = 6 x 2 x √6 = 12√6 cm12√54 = 12√(9 x 6) = 12 x 3 x √6 = 36√6 cmPerimeter
15√6 + 12√6 + 36√627√6 + 36√663√6 cmFind the volume of a right circular cone that has a height of 8.9 ft and a base with a radius of 14.3 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
1905.9 cubic feet
Step-by-step explanation:
Use the formula for a volume of a cone - 1/3 * pi * radius^2 * height
Find volume of a cone - 1/3 * pi * 14.3^2 * 8.9 = 1905.8587024733 cubic feet
Round to nearest tenth - 1905.9 cubic feet
:)
What is the slope of a trend line that passes through the points (5, 80) and (7, 65)?
a.) -15/2
b.) -2/15
c.) 2/15
d.) 15/2
Answer:
65 - 80 = -15
7 - 5 = 2
which is -15/2
which is A
BIG QUESTION, 100 POINTS
Line p contains point (6, -5) and is perpendicular to line q. The equation for line q is y = 3x + 5. Write an equation for line p.
Find the slope of line q.
Find the slope of line p. (Write the negative reciprocal of the slope you found in Part I.)
Use the point given for line p and the slope you found in Part II to write an equation for line p in point-slope form: y - y1 = m (x - x1)
Use your equation from Part III to write an equation for line p in slope-intercept form: y = mx + b. Show your work.
Answer:
[tex]\textsf{Slope of line q}: \quad 3[/tex]
[tex]\textsf{Slope of line p}:\quad -\dfrac{1}{3}[/tex]
[tex]\textsf{Equation of line p in slope-point form}: \quad y+5=-\dfrac{1}{3}(x-6)[/tex]
[tex]\textsf{Equation of line p in slope-intercept form}: \quad y=-\dfrac{1}{3}x-3[/tex]
Step-by-step explanation:
Slope-intercept form of a linear equation: [tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given:
line q: y = 3x + 5Therefore, the slope of line q is 3.
As line p is perpendicular to line q, the slope of line p is the negative reciprocal of the slope of line q.
Therefore, the slope of line p is -1/3
Equation of line p, using the point-slope form, the slope of -1/3 and the point (6, -5):
[tex]\begin{aligned}y-y_1 &=m(x-x_1)\\\implies y-(-5) &=-\dfrac{1}{3}(x-6)\\y+5 &=-\dfrac{1}{3}(x-6)\end{aligned}[/tex]
Simplify to slope-intercept form:
[tex]\implies y=-\dfrac{1}{3}x-3[/tex]
Slope of q:-
m=3Perpendicular line's have slopes negative reciprocal to each other
Slope of p
-1/3Passes through (6,-5)
Equation in point slope form
y+5=-1/3(x-6)3y+15=-x+63y=-x-9y=-1/3x-3