Answer:
y = 3x + 2
Step-by-step explanation:
1. Work out the gradient of the line segment: change in y/change in x: -2 - -6/ -8 - 4 = 4/-12 = -1/3
2. Work out the gradient of the perpendicular bisector: the gradient of the line segment and the perpendicular bisector should multiply to get -1. This means that we can do -1 ÷ -1/3 to work out the gradient which is 3
4. Find the midpoint of the line segment: (-8 + 4) ÷ 2 = -2, and (-2 + -6) ÷ 2 = -4, so the midpoint is (-2, -4)
3. The equation will be in the format y = 3x + c and will go through (-2, -4), so we can substitute those values into the equation to find c:
y = 3x + c-4 = 3(-2) + c-4 = -6 + cc = -4 + 6c = 2The equation of the line is y = 3x + 2
Hope this helps!
1
1. The attendance on the 1st day of a carnival was 425 people. The attendance on the 3rd
day was 575 people. Assuming attendance will increase linearly each day, how many
people will attend the carnival on the 6th day?
A. 650
B. 725
C800
D. 875
Katherine has a fish tank shaped like a triangular prism in her living room. The triangle that forms the base of the tank has a base of 24 inches and a height of 20 inches. The entire tank is 36 inches tall. What volume of water is needed to fill the tank if the tank is only filled to 6 inches below the top?
Answer:
[tex]Volume = 7200in^3[/tex]
Step-by-step explanation:
Given
[tex]B = 24[/tex] --- base of the tank base
[tex]h = 20[/tex] --- height of the tank base
[tex]H = 36[/tex] --- height of the tank
Required:
Determine the volume of water needed for 6 inches below the top
First, calculate the area of the tank base.
[tex]Area = \frac{1}{2}Bh[/tex]
[tex]Area = \frac{1}{2}*24*20[/tex]
[tex]Area = 12*20[/tex]
[tex]Area = 240[/tex]
If the tank is filled 6 inches below the top, this means that the height of the water is H - 6.
So, the volume is:
[tex]Volume = Area * (H - 6)[/tex]
Substitute 240 for Area and 36 for H
[tex]Volume = 240 * (36 - 6)[/tex]
[tex]Volume = 240 * 30[/tex]
[tex]Volume = 7200in^3[/tex]
what's the difference between five times a number and twelve
Step-by-step explanation:
Answer: Difference between five tmes a number and twelve is seven
simplify the following without a calculator leave your answer with positive exponents
[tex](0.008) \frac{2}{3} [/tex]
2 to the power of 6 times 9x if x=12
Answer:
[tex]6 {}^{2} = 36 [/tex]
[tex]x = 12[/tex]
[tex]9 \times 12 = 108[/tex]
[tex]108 \times 36 = 3888[/tex]
-3r+5r
What is the answerrr i need helpp :((((
Answer:
2r
Step-by-step explanation:
2r is the answer because:
We have to switch the -3r in to +3r and positive + positive = positive.
Then we change the add sign in to subtracting sign and we subtract:
3r-5r and it will give us:
2r
And we keep the answer positive because our answer was a +5r so the bigger number keeps the sign the same.
the difference of a numder 9 is less than 2
Answer:
Step-by-step explanation:
I think you mean
n-9<2
n<11
Select the equation that represents the question.
35% of what number is 35?
please help
Answer:
Step-by-step explanation:
35% of 100 = 36
Help me pleaseeee I don’t know what to do!!
Answer:
the answer is the M
Step-by-step explanation:
angle A and M both have 2 arcs which means they are congruent(equal)
There are 560 students in a school.If the ratio of the boys are girls is 4:3,find their numbers.
Answer:
320 / 240 = 4 / 3
Step-by-step explanation:
4 / 7 = x / 560
Cross-multiply:
7x = 2240
Divide by 7:
x = 320
The school has 320 boys and 240 girls.
hope this helps
Answer:
320 : 240
Step-by-step explanation:
4 + 3 = 7
560 / 7 = 80
so 1 is 80
4 x 80 : 3 x 80
320 : 240
Simplify 4.2^-3 x 5.1^2 x 4.2^4 x 5.1^3
Answer:
14491.060542
Step-by-step explanation:
If = 58° and m = 120 in, what is the value of p to the nearest tenth of an inch?
Answer:
141.5 in
Step-by-step explanation:
sin 58 = m/p = 120/p
120 = psin58
120/sin 58 = p
p = 141.5 in.
Another way to look at this problem is to remember that the hypotenuse of a right triangle is the longest side. Since 141.5 is the only answer greater than 120, it would have to be the logical choice for the length of p
help help help plz plz plz
Answer:
x = 7
All 8 angles measure 135°
Step-by-step explanation:
(n-2)·180 = (8-2)·180 = 1,080°; this is the total of all interior angles
each angle is equal so we can divide 1080 by 8 and find that each angle measures 135°
to solve for 'x':
16x + 23 = 135
16x = 112
x = 112/16
x = 7
check: 16(7) + 23 = 135
112 + 23 = 135
135 = 135
HELPPPPPPPPP!! ASAP IT WOULD BE GREATLY APPRECIATED
Answer:
I believe option 4
help me plz! The one with the correct answer gets brainliest!
What is the number for the variable "x"? : ( x+29= −11)
Answer:
x=(-40)
Step-by-step explanation:
x+29= (-11)
x+29=(-11)
-29=-29
x=(-40)
Answer:
x=-11+29
x=18
Step-by-step explanation:
Kimmie solves the follow expression, looking at her steps, explain her mistake.
3x (3+ 12 = 3)-4
3x (15 = 3)-4
3x5-4
15-4
11
Answer:
-6.67
Step-by-step explanation:
3x(3+12=3)-4
3x(15=3)-4
3x(15/-3)-4
3x(-5)-4
3x(20)
x=20/-3
x= -6.67
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove?
A. 224.70 (wrong)
B. 524.30
C. 719
Answer:
Step-by-step explanation:
B. 749x .30= 224.70. 749-224.70=524.30
please help and explain
is the square root of 16/9 rational or irrational
is 0.30300 rational or irrational?
Answer:
√169
Step-by-step explanation:
its is a rational, thats all I can help with
d) IfA: B = 1 : 2 and A: C= 2:3, find B: C.
Answer:
it's 2/3
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
4/5 + (-9/11) i need help please
Answer:
-1/55
Step-by-step explanation:
exact form -1/55
decimal form -0.018
plz mark as brainliest
thank you
19NBoli
Answer:
[tex]-\frac{1}{55}[/tex]
Step-by-step explanation:
Hi! Ace here.
Whenever we have a positive being added to a negative, we can just do the positive subtracted my negative.
So let's rewrite this:
[tex]\frac{4}{5} -\frac{9}{11}[/tex]
When subtracting and adding fractions, we have to make sure there is a common denominator, and if there isn't a common denominator, then we make a common denominator. The LCM, in this case, is 55, so let's convert the fractions.
[tex]\frac{4}{5} *\frac{11}{11} =\frac{44}{55}[/tex]
[tex]\frac{9}{11} * \frac {5}{5} = \frac{45}{55}[/tex]
Since [tex]\frac{11}{11}[/tex] and [tex]\frac{5}{5}[/tex] both equal 1, the fraction is the same value.
Now we subtract normally with our "new" numbers.
[tex]\frac{44}{55}- \frac{45}{55}[/tex][tex]=-\frac{1}{55}[/tex]
I hope this helped, let me know if you have any questions.
Simplify the expression-3x-(-2-4x)
Answer:
-7x+2
Step-by-step explanation:
Step 1: Remove Parentheses
-> -3x+2-4x
Step 2: Simplify Expressions
-3x-4x+2= -3x-4x= -7x+2
Can I have brainliest now
12 times 8.1
[NEED ASAP]
Answer:
Answer is 97.2
Step-by-step explanation:
1) Solve 12.5 +8= 27.
What does s=
Answer:
there is no s in the question please explain
Step-by-step explanation:
Answer:
S = 6.5
Step-by-step explanation:
12.5 + 8 = 20.5,
27 - 20.5 = 6.5
therefore s = 6.5
Checking work
12.5 + 8 + s =
12.5 + 8 + 6.5 = 27
12x + 24y + 18z using GCF
Is 7/8 equivalent to -7/-8
Answer:
No
Step-by-step explanation:
I don't think those are equivalent because 7/8 is positive while -7/-8 is negative.
Which of the following is a Pythagorean triple?
Answer:
D (3,4,6)
Step-by-step explanation:
I took thee test
Caleb and Suzanne each have a pile of blue and white chips. Caleb determines in his pile,three out of every four chips is blue. Suzanne determines in her pile, one out of every five chips are blue. How many total chips does each student have if Caleb and Suzanne each have 6 blue chips?
Answer:
Total number of chips Caleb have = 8
Total number of chips Suzanne have = 30
Step-by-step explanation:
In Caleb case -
Three out of every four chips is blue
⇒ If Caleb has total chips = 4
Then Blue chips = 3
⇒White chips = 4 - 3 = 1
Now,
If Caleb have 6 blue chips
⇒3 Blue chips = 4 total chips
1 Blue chip = [tex]\frac{4}{3}[/tex] total chips
⇒6 blue chips = [tex]\frac{4}{3}[/tex] ×6 = 4×2 = 8 total chips
∴ we get
Number of chips become = 8
In Suzanne case -
One out of every five chips are blue.
⇒ If Suzanne has total chips = 5
Then Blue chips = 1
⇒White chips = 5 - 1 = 4
Now,
If Suzanne have 6 blue chips
⇒1 Blue chips = 5 total chips
⇒6 blue chips = 5×6 = 30 total chips
∴ we get
Number of chips become = 30
What is The slope of (6,5) and (14,35)
Answer:
15/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(35-5)/(14-6)
m=30/8
simplify
m=15/4
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so
m=(35-5)/(14-6)
m=30/8
m=3.75
Spencer and Hanna buy a pizza for $18 that is half pepperoni and half veggie. They cut the pizza into 8 slices.
If Spencer likes veggie four times as much as pepperoni, what is the value of a slice that is all veggie?
Answer:
they needa buy me a beer
Step-by-step explanation:
What can be concluded if ∠EJS and ∠SJV form a linear pair?
Answer:
They are supplementary.
Step-by-step explanation:
A linear pair consists of two opposite angles whose non-common sides create a straight line. If a linear pair consists of two angles, then they are supplementary