The Pythagoras Theorem:
the base squared and height squared added is equal to the hypotenuse squared.
so
(x+6)² + (x+3)²= (x+9)²
x²+36+12x+x²+9+6x = (x+9)²
2x²+45+18x=x²+81+18x
x²=36
x=√36
X= 6
now
(x+6)= 12
(x+3)=9
(x+9)=15
haha sorry correct it pls
If x = ‐3, evaluate x + 7
Answer:
4
Step-by-step explanation:
Substitute -3 for x.
-3 + 7 = 4
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Brian makes $40 per hour tutoring students in music
theory, and Rebecca makes $20 per hour walking
dogs. Last month, Brian worked for 5 fewer hours
than Rebecca did, and they earned a total of $1,300.
How many hours in total did they work at their
part-time jobs?
A) 25
B) 35
C) 45
D) 55
Answer:
55
Step-by-step explanation:
Answer: D.)
Step-by-step explanation:
40*5=200, This is Brians total $'s
1,300-200=1,100, This is Rebeccas total $'s
1,100/20= 55, This is the total hours worked.
How much time has passed?
Start time: 4:45 a.m. End time: 7:25 a.m.
Answer:
2 hours and 40 mins i think
Step-by-step explanation:
?? anyone know thank you❤️
Answer: 9/8
Step-by-step explanation:
you turn 1/2 into 4/8 and add that to 5/8 to get 9/8
8 to the 7th power/ 8 to the second power
Answer: 32768 or [tex]8^5[/tex].
Step-by-step explanation:
[tex]8^7[/tex]= 8x8x8x8x8x8x8 = 2097152
[tex]8^2[/tex]= 8x8 = 64
Dividing Exponents
When you divide exponents with the same base. You subtract. So in this case, you subtract 7 by 2, (being exponents). The same base is 8. So your subtracting [tex]8^7[/tex] by [tex]8^2[/tex]. Which will get you [tex]8^5[/tex].
Dividing Whole Numbers.
You are going to divide whole numbers. Its pretty self explanatory but I will do the math for you anyways.
64 goes into 2097152, 32768 times. Or we can say,
2097152 divided by 64 = 32768.
So the answer is 32768, or [tex]8^5[/tex].
HELP PLSSSS LOL!!!!!!!
Answer:
1.=scalene+acute . 2. equilateral . 3. obtuse+scalene . 4. isosceles+right . 5. scalene+acute(cant tell exactly) 6. acute+isosceles . 7. right+isosceles . 8. isosceles + obtuse
Step-by-step explanation:
look at pictures
The sides of three squares can be used to form triangles. The areas of the squares that
form right triangles have a special relationship. The triangle formed in the drawing below is
a right triangle.
What is the value of x, the side length of Square 2?
I really need help for this geometry question, I would appreciate any help thank you.
Answer:
hypotenuse = 4.24
Step-by-step explanation:
sin θ = opposite / hypotenuse
sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse
hypotenuse = 4.24
A city stretches for 480,000 meters in its greatest dimension. The mayor is having a model of the city created. The
model will be 100,000 times smaller than the actual city. How big will the model be in its greatest dimension?
Answer:
4.8
Step-by-step explanation:
took test
The model of the city would be 4.8 meters in its greatest dimension.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A city stretches for 480,000 meters in its greatest dimension.
And, The model will be 100,000 times smaller than the actual city.
Hence, To find out the size of the model in its greatest dimension, we need to divide the actual size of the city by the scale factor.
Therefore, the size of the model in its greatest dimension would be;
⇒ 480,000 meters ÷ 100,000
⇒ 4.8 meters
Thus, the model of the city would be 4.8 meters in its greatest dimension.
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
3.) There are 3 brothers. The first brother is twice as old as the second. The second is twice as old as the third.
If the sum of their ages is 28, how old is each brother?
Answer:
The first brother is 16, the second brother is 8 and the third brother is 4.
Step-by-step explanation:
Since the sum of all the brothers is 28, that means the cap of how old the oldest can be is 28. I just stated with numbers less then 28 that were dividable by two which means all the numbers had to be. So 16 for the first, 8 for the second and 4 for the youngest is the right answer I hop.
what is the slope of (-3,5) and (2,0)
Answer:
is there anymore to the question?
Step-by-step explanation:
What is an equation of the line that passes through the points (-7, -7) and (-7, 4)
Answer:
x=-7
Step-by-step explanation:
y=mx+c
m=rise over run
m=0
x=-7
Can anyone help solve this?
Answer: m∠XYQ = 122°
Step-by-step explanation:
m∠XYQ + m∠QYZ = 180°
(10a + 2) + (5a - 2) = 180
15a = 180
a = 12
m∠XYQ = 10a + 2
m∠XYQ = 10 (12) + 2 = 122
m∠XYQ = 122°
A pipe is leaking in the school bathroom. It has leaked 3 gallons of water in 6 hours.
COP=
HELPP PLZ
Answer:
It leaks half a gallon each hour.
Step-by-step explanation:
Answer:
Call the plumber
Step-by-step explanation:
If the school people refuse, make a petition. Ask around if they want a new pipe or fix it and collect their signatures. If the school still refuses, you can report them to the cops. If this was a question, it leaks 1/2 gallon per hour.
The average adult spends 7 to 8 hours sleeping. About 20% of the time you sleep is spent in rapid eye movement (REM) sleep which is associated with dreaming. Write and Solve a compound inequality to determine how much time is spent in REM sleep for the average adult?
Answer:
.20(7) ≤ x .20(8)
Step-by-step explanation:
let 'x' = amount of time in REM sleep
Answer:
1.4[tex]\leq[/tex] x [tex]\leq[/tex] 1.6
Step-by-step explanation:
You can start off by writing the inequality that 7(.20) is less than/equal to x which is less than/equal to 8(.20). Then, you just multiply the numbers and you have the 20% that you spend in REM sleep.
Hope this helps!
Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will her payments be at the beginning of year 6? (3 points) a $3155.38 b $3701.45 c $3470.30 d $2908.95
Answer:
$3701.45. I hope this helps :)
Step-by-step explanation:
tom goes on hoilday south africa
Answer:
Yes, good for him. lol
Step-by-step explanation:
Answer:
what he do there?
Mark tried to pour 36 ounces of tea into 3 cups. after filling the cup to the top, there were still 13.5 ounces left in his tea pot. if each cup is the same size how much is in the tea cup? HELP PLEASE!
Answer:
its 12
Step-by-step explanation:
12 oz
Answer:
22.5/3
Step-by-step explanation:
Hey, the idea is to set up an equation that you can solve
36 ounces of tea = 3 cups(some ounces of tea) + 13.5 ounces left
Now just solve for how much tea is in each cup.
36-13.5 = 3(X)
3X = 22.5
x = 22.5/3
You spend 264 dollars on clothes. Shirts cost 24 and pants cost :2 you buy a total of 9 items
EQUATIONS:
24x + 32y = 264
x + y = 9
x is shirts, y is pants
SOLVING by substitution:
x = 9 - y
24(9 - y) + 32y = 264
216 - 24y + 32y = 264
8y = 48
y = 6
x + 6 = 9
x = 3
what is the ordered pair to y=7x-2
what's the quotient of 35.86÷2.2
Answer:
The answer to your question is 16.3.
how do you differentiate more and more than? can these terms be used in mathematics? how?
Answer:
The terms "more" and "more than" have a clear difference, which is even more noticeable in its application in the field of mathematics.
Thus, "more" has a more general meaning, while "more than" applies specifically to comparing the values of two or more determined variables. Therefore, in the field of mathematics "more than" implies that a variable will have a higher value than another or others, while "more" simply refers to a higher value.
Help plss I will mark as brainlest if correct
Answer:
ok
Step-by-step explanation:
Answer:
if im not mistaken it should be y=0x+-3
Step-by-step explanation:
well i took the points -8.,0 an -3,0 an got the slope of 0 , so i did the formula y=mx+b m is slope wich is 0 so y=0x+? so i looked at where the line passes through the y axis an it went through at -3 therefore your answer is y=0x+-3
Which of the following is equivalent to the image below
A: 6
B: 8
C: 12
D: 64
Answer: The answer is 8
Step-by-step explanation: first you solve 16 to the 1.5 power (3/2=1.5) and that gives you 64. Then 64 to the .5 power (1/2=.5) and that gives you 8.
Write the ratio as a fraction in simplest form.
51:9
Answer:
The ratio of 51:9 in it's simplest form is 17:3.
help me please:(((((
Answer:
I will do the first one for you 115/24
Step-by-step explanation:
First find the prime number is of the number on the bottom of the fraction
Second after finding the prime numbers multiple all the times number starting with the bigger number’s prime number, and if the other prime number have a pair dont add them into equation. Ex 8-2 2 2 and 4-2 2 the 8 has 3 (2s) cancelling out the 4’s( 2s) other ex. 6-2 3 and 18- 2 3 3 the 18 has a 2 and 3 cancelling out the 6’s 2 and 3 making it multiple 2x3x3
Third after finding this number at step (2) this is the number at the bottom of the fraction making it easy to do any equations on it
Hope this helps :D
Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.
Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
In a bag, you have a strip of paper with the numbers 1-10 written on the strips. If one strip of paper is pulled from the bag and then replaced, what is the probability of the following events:
pick a odd number and then a even number.
A: 1/2
B: 1/4
C: 1/5
D: 1/25
in the spring temperatures rise on average 6 degrees every 5 days. at that rate how many degrees would the temperature have risen after 30 days
Answer:
Ok, this is pretty simple. So, if it rises 6 degrees every five days, then we have to figure out how many "five days" are in 30 days. It would be 6! So now all we have to do is multiply. 6 times 6 equals 36 degrees.
The answer is 36 degrees.
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
If it rises 6 degrees every 5 days, we just need to figure out how many 5 days are in 30 days. When you solve, you'll get 6. Now we can just multiply 6 x 6 = 36. Hope this helped, please mark brainliest if it did