Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-1,5) and (-7, -7).
Answer:
The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the lineThe rule of the mid-point is M = ([tex]\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex])The product of the slopes of the perpendicular lines is -1, that means if the slope of one is m, then the slope of the other is [tex]\frac{-1}{m}[/tex] (we reciprocal m and change its sign).∵ A line passes through points (-1, 5) and (-7, -7)
∴ x1 = -1 ad y1 = 5
∴ x2 = -7 and y2 = -7
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{-7-5}{-7--1}[/tex] = [tex]\frac{-12}{-7+1}[/tex] = [tex]\frac{-12}{-6}[/tex] = 2
∴ m = 2
→ Reciprocal the value of m and change its sign to find the slope of
the line perpendicular line
∴ m⊥ = [tex]\frac{-1}{2}[/tex]
→ Substitute in the form of the equation above
∵ y = [tex]\frac{-1}{2}[/tex] x + b
∵ The ⊥ line is also the bisector of the given line, find the mid-point
of the given line because it is also lying on the ⊥ line
∵ M = ([tex]\frac{-1+-7}{2},\frac{5+-7}{2}[/tex]) = ([tex]\frac{-8}{2},\frac{-2}{2}[/tex]) = (-4, -1)
∴ M = (-4, -1)
→ Substitute the coordinates of M in the equation of the ⊥ line above
∵ x = -4 and y = -1
∴ -1 = [tex]\frac{-1}{2}[/tex] (-4) + b
∴ -1 = 2 + b
→ Subtract 2 from both sides
∴ -3 = b
→ Substitute the value of b in the equation
∴ y = [tex]\frac{-1}{2}[/tex] x + -3
∴ y = [tex]\frac{-1}{2}[/tex] x - 3
∴ The equation of the perpendicular bisector is y = [tex]\frac{-1}{2}[/tex] x - 3
You type 282 words in 6 minutes.How many words do you type in one minute?
Answer:
47
Step-by-step explanation:
282 words in 6 minutes
? in 1 minutes
282÷6=47....
47×6=282
Please help:((((
I attached the image of the question
The function f(t) = 349.2(0.98)t models the relationship between t, the time an oven spends cooling and the temperature of the oven. A 2-column table with 5 rows. The first column is labeled time (minutes)t with entries 5, 10, 15, 20, 25. The second column is labeled oven temperature (degree Fahrenheit) f(f) with entries 315, 285, 260, 235, 210. For which temperature will the model most accurately predict the time spent cooling? 0 100 300 400
Answer:
C. 300
We need to find the temperature that most resembles with the model
We can easily see the graph if we plot it using a calculator
f(t) = 349.2(0.98)^t
Case a. 0
Zero is only achievable as the cooling time goes to infinity. This is not the case.
Case b. 100
for f = 100,
t ≈ 61.6,
which is out of the values of the table
Not the correct option
Case c. 300
for f = 300,
t ≈ 7.5,
which is in range with the values of the table
Answer:
CCCCCC
Step-by-step explanation:
Find the length of the shortest side ( rounded to 2DP) if the area of the rectangle is 28m^2
Answer:
4.39 to 2DP.
Step-by-step explanation:
x * (x - 2) = 28
x^2 - 2x = 28
Solving by completing the square:
(x - 1)^2 - 1 = 28
(x - 1)^2 = 29
x = +/-√29 + 1
x = 6.38516, -4.38516
x must be positive so it = 6.38516.
The shortest side = x - 2 = 4.385.
HELP! The value of y is directly proportional to the value of x. Given y = 11 when x = 77. What is the value of y when x = 98?
17
7
686
14
Answer:
The answer should be 14.
Step-by-step explanation:
14×7=98
What is the final amount if 943 is decreased by 13% followed by a further 6% decrease?
Give your answer rounded to 2 DP.
Answer:
943-13% = 820.41
820.41 - 6% = 771.1854
Step-by-step explanation:
Look at triangle ABC.
Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 1, and C at ordered pair 4, 1.
What is the length of side AB of the triangle?
2
Square root of 20
6
Square root of 38
Answer:
square root of 20
Step-by-step explanation:
Answer:
sq root of 20
Step-by-step explanation:
Write the point slope form of the equation of the line through the given slope through (5,3) ,slope =-1/5
Answer:
y-3= -1/5(x-5)
Step-by-step explanation:
point slope form is --> y-y,=m(x-x,)
commas represent 1's.
so
-1/5= m
3=y,
5=x,
Answer:
[tex]y-3= -\frac{1}{5}(x-5)[/tex]
Step-by-step explanation:
Fill in what you know: ([tex]y=-\frac{1}{5}x+b[/tex])Solve for b with test point (5, 3): ([tex]3=-\frac{1}{5}*5+b[/tex])[tex]b=4[/tex]Convert to point-slope form: [tex]y-3= -\frac{1}{5}(x-5)[/tex]Please help me please thank you so much in advance
Answer:
51 degrees
Step-by-step explanation:
1/3 ÷ (-2 2/3)=
what is the answer to this
Answer:
-0.125 or -1/8
Find the equation of the linear function x 1 2 3 4 y 6 9 12 15
Answer:
The equation of the linear function is y = 3x + 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A line passes through points (1, 6) and (2, 9)
∴ x1 = 1 ad y1 = 6
∴ x2 = 2 and y2 = 9
→ Use the rule of the slope above to find the slope of the line
∵ m = [tex]\frac{9-6}{2-1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
∴ m = 3
→ Substitute the value of m in the form of the equation above
∴ y = 3x + b
→ To find b substitute x and y in the equation by the coordinates of any
point on the line
∵ x = 1 and y = 6
∴ 6 = 3 (1) + b
∴ 6 = 3 + b
→ Subtract 3 from both sides
∵ 6 - 3 = 3 - 3 + b
∴ 3 = b
→ Substitute the value of b in the equation above
∴ y = 3x + 3
∴ The equation of the linear function is y = 3x + 3
Enter the equation of the line in slope-intercept form.
The line parallel to y =
5/4x + 8 that passes through (−8, 0).
The equation of the line that passes through (−8, 0) is y = ???
Answer:
y = 5x/4 + 10
Step-by-step explanation:
If two lines are parallel, the slopes are equal
The equation of a straight line is y = mx + c
where m is slope and c is y-intercept
So in this case 5/4 is also the slope m of the second line
we can write the equation as;
y-y1 = m(x-x1)
y-0 = 5/4(x + 8)
y = 5x/4 + 10
1 point
6. At five below there is a discount of $5 for every 4 items you buy. If the
receipt show discount of $20 how many items did you buy?*
HINT: This problem is similar to #6, page 90
O A You bought 20 items
B You bought 15 items
C You bought 16 itmes
D You bought 8 items
c. 5x4=20
4x4=16 items.
Isolate a variable in each system. You may need to use the distributive property to simplify the equation. Show your work.
3x - 4y = -7
4x + 3y = 24
Answer:
1. x=-7/3 + 4y/3
2. x= 6- 3y/4
Step-by-step explanation:
to isolate the variable you simply solve for it by moving all the terms which don't contain x to the right by multiplying, subtracting, adding, and dividing
how do i solve for x
Answer:
x=-27
Step-by-step explanation:
4/7x * 14x = 1/14(14x) + 5/2x(14x)
Multiply both sides by 14x
8 = x+35
-27 = x
an event is called__ if the probability it will occur equals 0. help me please, i beg you
Answer:
impossible
Step-by-step explanation:
If there is no chance of something happening, then it is...IF U HELP ME THANK YOU , I need help on this
Answer: <1 is 46
Step-by-step explanation: If 4x+10+2x-16=180 becuase they are same sided interior angle they have to equal 180. and if you do the process you get X=31 and if you plug it in you get <1=46 and to check it you have to plug it in the other and add thoses two up and see if you get 180. which it does.
What is 325 percent of $120? Use the diagram to solve the problem.
A 2-column table with 5 rows. Column 1 has entries 100 percent, 100 percent, 100 percent, 25 percent, Total 325 percent. Column 2 has entries 120 dollars, 120 dollars, 120 dollars, A, Total B.
A =
B =
Answer: 390 I’m sorry if it was wrong but that what I got
Answer: A: 30 B: 390.
When x=1/3 and y=1/6, −2x+8y=
Answer:
The answer is 2/3.
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
-2x+8y
-2(1/3)+8(1/6)
=2/3
graph the line
y+5=1/4(x-3)
Answer:
Graph
Step-by-step explanation:
Help me what’s the answer.
Answer:
Answer 3
Step-by-step explanation:
We know if two line pass through each other that the opposite angles will always be equal. Do we know it is simalar and that it is angle angle (aa), not angle side angle (asa). And we can also figur out GHF is similar to KHJ because it is a mirror, unlike JHK.
explain to "the 6th grader" how to find the area of a square
Answer:
You find an area of a square by multiplying the width and the length.
Answer:
you multiply the length by the width.
Step-by-step explanation:
the attached file shows what the length and width are.
Cassandra's money that she makes from selling cookies can be determined by the equation y = 2X -
20. To not lose money she has to sell over 10 cookies per day but she only makes a batch of 15
cookies each day. What is the range in this situation if she does not lose money?
Answer choices shown in picture. Please help! I put 45 points and i’ll give you a brainliest if it’s correct!
Answer:
E
Step-by-step explanation:
Because the y-intercept is (0,-20)
PLEASE help i need help
Answer: B = D
because we have:
[tex]x^{1/3}.x^{1/3}.x^{1/3}=x^{1/3+1/3+1/3}=x^{3/3}=x^{1}=x[/tex]
[tex]\frac{1}{x^{-1} }=\frac{1}{\frac{1}{x} }=x[/tex]
Step-by-step explanation:
sara y su hermana alejandra, tienen que ir al mercado a comprar. saben que una sandía les cuesta q 10.00, un banano q 2.00, una manzana q 1.00, una docena de aguacates q 36.00. si su mamá les pide que compren: una sandía, una docena de bananos y 2 aguacates, ¿cuánto gastarán?
Answer:
40.00
Step-by-step explanation:
una sandia 10.00
un banano 2.00
un aguacate 3.00 (porque una docena equivale 12 artículos; 36/12 es 3)
una sandía 10.00
una docena de bananos 12(2.00) = 24.00
dos aguacates 2(3.00) = 6.00
10.00 +24.00 +6.00
=40.00
Jana and Tim both sell cleaning products to local housecleaning services. When Jana orders from the manufacturer of the products she sells, she is given a 15% discount on her total purchase, and she must pay a $15 shipping fee. Each of Tim's orders to his manufacturer is charged at 85% of the full purchase price of the products, and he pays a $4 handling fee, plus $11 for shipping. Choose ALL of the statements that are true. When Jana and Tim purchase products having the same total value, their costs for the purchases will always be the same. Jana and Tim will never spend exactly the same amount on purchase orders to their manufacturers. Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100. If Jana switches to Tim's manufacturer for her product purchases, her cost will decrease. If Tim switches to Jana's manufacturer for his product purchases, his cost will remain the same.
Answer: Jana and Tim will only spend the same amount on purchase orders to their manufacturers when they each order products with a total purchase value of $100.
Step-by-step explanation:
Jana and Tim would only be incurring same amount when both total purchase is to a value of $100. This is so because by purchasing a goods worth same amount, they both end up incurring $15 dollar additional cost. Jana would spend $15 on shipping her goods, while Tim would pay $4 Handling fees and $11 dollar shipping fee which would also amount to $15. What this means is total spent for both Jana and Tim would amount to $115 each.
Winston plans to hire a moving company to help him
move. The company charges $80 per hour and a flat
rate of $150 for the truck and packaging materials.
Winston wants to spend no more than $500 on
the total moving costs. If the company charges for
a whole number of hours, what is the maximum
number of hours for which Winston can hire the
moving company?
5/-8 divided by 1 3/7
Answer:
3
Step-by-step explanation:
You would do 3/5 =6 then do 13/7 = 18/6=3
Between what two consecutive number does - 12 square root lie ?
Answer:
3 and 4
Step-by-step explanation: