Answer: a2 + b2 = 202
Step-by-step explanation: Since they are consecutive odd integers, then we can just divide 202 by 2, square root it, then round to the nearest two odd integers. In this case, 202 / 2 = 101 ⇒ 1010.5 ≈ 10.04. The two nearest odd integers are 9 and 11. We can verify that this is the pair: 92 + 112 = 81 + 121 = 202.
Answer:
[tex]\left \{ {x-y=-2\atop {x^2+y^2=202[/tex] ⇔ [tex]\left \{ {{y=11} \atop {x=9}} \right.[/tex]
Step-by-step explanation:
Last week, Byron bought 5 containers of yogourt and spent $12.88 on other groceries.
This week casandra bought 3 containers of the same yogourt and spent $11.50 on other groceries. How much more money did byron spend than casandra
Answer:
Byron spent 0.62 cent more than Casandra.
Step-by-step explanation:
It says how much more money did Byron spend than Casandra?
So you have to take how much Byron had and subtract it by how much Casandra had.
$12.88 - $11.50 = $0.62
And that's how you get your total on how much more did Byron spend than Casandra.
This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).
Answer:?
Step-by-step explanation:?
Which is the best example of anticipating a potential accident in a science lab? A student skips the instructions because she has performed the lab before. A student checks for flammable liquids before lighting the Bunsen burner. A student keeps a glass of water on her lab bench in case she gets thirsty. A student works quickly so that she can be on time for her next class
Answer: C
Step-by-step explanation:
i took the test
(3 questions for 40 points)
7. Given XPS = DNF, find the values of x and y
8. Given MTW = BGK, find the values of x and y
9. Given PRS = CFH, find the values of x, y, and z
solve for x in the triangle!!!
Answer:
13
Step-by-step explanation:
Combine all like terms:
14x-2
Since there are 180 degrees in a triangle, all three angles are going to equal 180.
14x-2=180
Add 2
14x=182
Divide by 14
x=13
PLEASE HELP EXPLANATION 100 POIUNTS
Answer:
y=55
z=38
x=84
Step-by-step explanation:
Important thing to understand is that the angles in a triangle all add up to 180
A straight line also has an angle measure of 180
In the triangle on the left hand side. You can find y pretty easily
35+90 ( the angle is marked as a right angle) = 125
180-125 = 55
so y = 55
z can be found the same way
52+90 ( again marked) = 142
180-142 = 38
so z = 38
Since a straight line has a angle measure of 180 we can find x
z+y+x = 180
38+55+x=180
96+x=180
x=84
z:-
180-52-90180-14238°x
x+z=35+90x+38=125x=87°y:-
180-90-35180-12555°Help pleaseeee
Correct answers only
Answer: D 10
Step-by-step explanation:
GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.
Answer:
26 degrees
Step-by-step explanation:
The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.
From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.
(soh cah toa)
[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]
Now, just plug in the 2 known values and solve for the unknown:
[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]
The angle is 26 degrees, and you can check that by doing it in reverse:
[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]
PLEASEEEE HELPOOOOOOO
Answer:
The answer would be the purple line
and if I am wrong I think it is the red line
Step-by-step explanation:
Because our slope is -2 and the point is (-1,2)
the equation of the graphed line would be [tex]y = -2x[/tex] which is a linear equation
and the formula for the linear equation is [tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept and because we don't have a y-intercept the equation will look like y=-2x
12 lbs of
potatoes
for $15.00
OR
8 lbs of
potatoes
for $9.20
Answer:
12 lbs for $15
Step-by-Step Solution:
12 / $15 = $0.80
8 / $9.20 = $0.87
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).
Answer:
(-1, -6), (7, 0) , and (11, 3)
Step-by-step explanation:
3x - 4y = 21 Solve the equation for y
3x - 21 = 4y
(3x - 21)/4 = y
Now use the ordered pair and find the true ordered pair
(-1, -6) [ (3)(-1) - 21]/ 4 ; (-3 -21)/4 ; (-24)/4 = -6 True
(7, 0) [(3)(7) -21]/4 ; (21 - 21)/4; 0/4 = 0 True
(11, 3) [(3)(11) - 21]/4; (33 - 21)/4; 12/4 = 3 True
(-3 ,3) [(3)(-3) - 21]/4 (-9 -21)/4 ; -30/4 = -7.5 No
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
Answer:
13 ≈ 10 miles
Step-by-step explanation:
Have a nice day
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving So, the straight-line distance from your starting point is 13 miles.
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
You start driving east for 5 miles, turn left, and drive north for another 12 miles. At the end of driving,
[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |5|^2 + |12|^2 \\ \\|AC|^2 = 25 + 144 \\\\AC = \sqrt{169} \\\\AC = 13[/tex]
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ2
8
-6
4
ल
-8-
What is the domain of function m?
co
-2
-8
6
- 4
x
HELPP
Answer:
( - ∞, ∞ )
Step-by-step explanation:
The domain of the function is all values of x , that is
- ∞ < x < ∞ , or in interval notation
(- ∞, ∞ )
Choose the two expressions that are equivalent to 6.5 ÷ 1.3.
A 65 ÷ 13
B 65 ÷ 130
C 650 ÷ 130
D 650 ÷ 13
Answer:
A & C
Step-by-step explanation:
To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.
Let's begin solving!
65 ÷ 13 = 5
So now we know that A is one of our answers
65 ÷ 130 = 0.5
Not one of our answers because the quotient is not 5
650 ÷ 130 = 5
This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.
Hope this helps you :)
Answers are A and C.
6.5 ÷1.3 = 5
A. 65 ÷ 13 = 5 so yes
B. 65 ÷ 130 = .5 so no
C. 650 ÷ 130 = 5 so yes
D. 650 ÷ 13 = 50 so no
Use substitution to solve the system. 5X+3Y=22 Y=2X-11
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
We can solve this problem in two steps, Comprehending, and Solving/Checking our answers. I'll be starting off with Comprehending.
Comprehending
We can solve the problem with substitution by finding out what one variable is equal to in terms of the second variable.
This is what we would call System of Equations where we need to find the point where the lines hit.
We can do this either with Graphing, or Algebra. In this case, we need to use substitution, so it has to be Algebraically.
Now that we know how to solve it/what to do, we can start solving.
Solving
We can solve the problem by first replacing y with its correct value in terms of x. Since we know the two equations, we can begin solving.
[tex]y=2x-11\\5x+3y=22[/tex]
We can solve it by inserting our y value into the y value of the second equation.
[tex]5x+3(2x-11)=22\\5x+6x-33=22\\11x=22+33\\11x=55\\x=5[/tex]
Now that we know our x value, we can solve for y by inserting it into an equation.
[tex]y=2(5)-11\\y=10-11\\y=-1[/tex]
Now that we have solved, we have gotten out point of (5,-1)
We can test this by inputting it into an equation. (Any of the latter).
[tex]5(5)+3(-1)=22?\\25-3=22?\\22=22[/tex]
Now that we have checked our answer and it appears correct, we have gotten our answer of (5,-1).
Answer:
(5, - 1 )
Step-by-step explanation:
5x + 3y = 22 → (1)
y = 2x - 11 → (2)
Substitute y = 2x - 11 into (1)
5x + 3(2x - 11) = 22 ← distribute parenthesis and simplify left side
5x + 6x - 33 = 22
11x - 33 = 22 ( add 33 to both sides )
11x = 55 ( divide both sides by 11 )
x = 5
Substitute x = 5 into (2)
y = 2(5) - 11 = 10 - 11 = - 1
solution is (5, - 1 )
The expression 12 + 4x - 2x + 8 simplifies to what?
Answer:
2x + 20
Step-by-step explanation:
[tex]12 + 4x -2x + 8\\\rule{150}{0.5}\\4x - 2x + 12 + 8\\\\\\\rightarrow\text{4x and -2x are like terms. 12 and 8 are also like terms.}\\\\\\\boxed{2x + 20}[/tex]
Hope this helps.
Vanessa walks her puppy 12 of a miles in 20 minutes. How far does she walk her puppy in 1 hour?
Show work. (Type answer in word form)
Answer:
thirty-six of a miles or [tex]36[/tex] miles of a miles <--- I didn't know if you meant regular miles
Step-by-step explanation:
We can convert 1 hour to 60 minutes
[tex]60\div20=3[/tex]
Since it is [tex]3[/tex] [tex]times[/tex] the time and we assume her rate is consistent we multiply 3 by 12
[tex]3\cdot12=36[/tex] of a miles
thirty-six of a miles
Brainliest please :)
Answer:
Vanessa walks her puppy for 36 miles in 1 hour.
Step-by-step explanation:
She walks 12 miles in 20 minutes
1 hour = 60 minutes
There are 3 - 20 minute periods so she walks her puppy 12(3) miles, or 36 miles
-Chetan K
f(x) = 5x – 2
slope of f =
Answer:
? we dint know
Step-by-step explanation:
Can someone plz help me out i rlly need to pass this
In the diagram, z∘ and y∘ are the measures of two complementary angles.
Also, the measure of one of the angles is 29.6∘
What is the correct value for x?
Enter your answer as a decimal, if necessary, like this: 42.5
Answer:
x= 60.4
Step-by-step explanation:
y = 60.4
z= 29.6
x= 60.4
By complementary angle rule
A rectangle has a length of 10 3/16 inches and a width of 6 7/8 inches. what is the perimeter of the rectangle?
Answer:
P = 34 1/8 inches
Step-by-step explanation:
P = 2l + 2w
P = 2(10 3/16) + 2(6 7/8)
convert 10 3/16 to an improper fraction: 163/16
convert 6 7/8 to an improper fraction: 55/8, which equals 110/16
P = 2(163/16) · 2(110/16)
P = 326/16 + 220/16
P = 546/16
P = 34 1/8 inches
add the following rational number =
3/11 and -5/12
Answer:
-19/132
Step-by-step explanation:
To add fractions, find the lowest common multiple of the two denominators and multiply accordingly to make both denominators the same. In this case, the lowest common multiple of 11 and 12 is 132, so we need to multiply the first number by 12 and the second by 11. So we get [tex]\frac{36}{132} + (-\frac{55}{132} )[/tex] = [tex]\frac{36-55}{132}[/tex]=[tex]\frac{-19}{32}[/tex][tex]-\frac{19}{132}[/tex]
i don’t understand! help pleaze how do i find the side lengths??
Answer:
A
Step-by-step explanation:
cos x = adjacent side / hypotenuse
cos 60 = 9√2/2 / x
1/2 = 9√2/2 / x
x = 9√2
tan x = opposite side / adjacent side
tan 60 = y / 9√2/2
√3 = 2y / 9√2
9√6 = 2y
y = 9√6/2
In parallelogram NPQR if m&NPQ=125° find m&PQR.
Answer:
55
Step-by-step explanation:
(360 - 125 - 125) / 2 = 55
Opposite angles are the same in a parallelogram.
can someone help me with this please:)
Answer:
A
Step-by-step explanation:
[tex]2 \sqrt{3} + \sqrt{9} \times \sqrt{ - 1} = 2 \sqrt{3} + 3i[/tex]
Please help me with this homework
[tex]\text{Given that,}\\\\(x_1,y_1) = (-3,-1) ~ \text{and slope, m=2.}\\\\\\\text{Equation with two points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +1 = 2(x +3)\\\\\text{Hence the answer is B}[/tex]
What is (n+9) - (2-2n)
Answer:
Simplifying
(n + 9) + -1(2 + -2n) = 0
Reorder the terms:
(9 + n) + -1(2 + -2n) = 0
Remove parenthesis around (9 + n)
9 + n + -1(2 + -2n) = 0
9 + n + (2 * -1 + -2n * -1) = 0
9 + n + (-2 + 2n) = 0
Reorder the terms:
9 + -2 + n + 2n = 0
Combine like terms: 9 + -2 = 7
7 + n + 2n = 0
Combine like terms: n + 2n = 3n
7 + 3n = 0
Solving
7 + 3n = 0
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 0 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 0 + -7
3n = 0 + -7
Combine like terms: 0 + -7 = -7
3n = -7
Divide each side by '3'.
n = -2.333333333
Simplifying
n = -2.333333333
Step-by-step explanation:
Which expression shows the distance on the number line between −3 and −10 ?
Answer:
D. |-3 - (-10)|
Step-by-step explanation:
Identify the vertex of: F(x)-4=(x+1)²
A.)(-4,1)
B.) (1,-4)
C.)(1,-4)
D.) -1,4)
Answer:
D
Step-by-step explanation:
move 4 to right, then its in vertext form where where -h = 1 and k = 4. the vertext is (h,k), so just swap thr sign in h andnout it into the coordinate and get (-1,4)
what is the answer to this problem its too hard -36= - w/8
Answer:
w=288
Step-by-step explanation:
-36=-w/8
-36•8=-w
-288=-w
w=288
Simplify the expression: – 9k2+6k2–7k2–5k2+ – 8k2+ – 2k2
Step-by-step explanation:
I guess, this expression really is
-9k² + 6k² - 7k² - 5k² + -8k² + -2k²
remember : all terms with the same base reference (either a number or a variable with the same exponent, or a function ...) can be combined.
all the terms in this expression are about k². so we can combine them all
k² × (-9 + 6 - 7 - 5 - 8 - 2) =
k² × -25 or simply -25k²
always also remember the rules of combining signs and operations :
++ = +
+- = -
-+ = -
-- = +