Answer:
2.5, -1.8
Step-by-step explanation:
½(x¹+x²) ,½(y¹+y²)
½(3.5+1.5) ,½(2.2+(-4.8)
½(5.0), ½(2.2-4.8)
2.5 ,½(-3.6)
2.5, -1.8
Answer: It’s 2.5, -1.3, the other person must’ve misclicked lol
I'm marking answers as brainliest. The solution to the following system is ________. -9x + 6y = -30, -7x + 12y = -16 * I I (0,2) (4,1) (-4,7) (2,1)
Answer:
Step-by-step explanation:
-9x + 6y = -30
-7x + 12y = -16
18x - 12y = 60
-7x + 12y = -16
11x = 44
x = 4
-36 + 6y = -30
6y = 6
y = 1
(4,1)
Answer:
(4,1)
Step-by-step explanation:
-9x + 6y = -30.............(1)
-7x + 12y = -16 ............(2)
(2) - 2(1)
-7x+12y - 2(-9x+6y) = -16 - 2(-30)
simplify
11x = 44
or
x = 4 .......................(3a)
substitute (3) in (1)
-9(4) + 6y = -30
6y = -30 + 36
6y = 6
y = 1 ......................(3b)
Using results from (3a) and (3b), we have
solution : (4,1)
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
Amanda rides her bike due east for 10 km. Angela rides her bike 20 degrees south of east 12 km. How far apart are Amanda and Angela? (Round to the nearest tenth).
Answer:
Distance between Amanda and Angela (c) = 4.30 km (Approx)
Step-by-step explanation:
Given:
Amanda rides (a) = 10 km
Angela rides (b) = 12 km
Angel between them = 20°
Find:
Distance between Amanda and Angela (c)
Computation:
Using law of cosines:
c² = a² + b² - 2abCosФ
c² = 10² + 12² - 2(10)(12)Cos20°
c² = 100 + 144 - 2(10)(12)(0.9397)
c² = 244 - 225.528
c² = 18.472
c = 4.2979
Distance between Amanda and Angela (c) = 4.30 km (Approx)
A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?
Answer:
Hey there!
A total of 250-175, or 75 liters of water evaporated.
75/250=0.3, or 30%
30% of water evaporated.
Hope this helps :)
Hey there! I'm happy to help!
First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.
250-175=75
75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.
75= x·250
We simply divide both sides by 250 to isolate the x, giving us x=0.3
0.3 is 30% as a percent, so this means that 30% of the water evaporated.
I hope that this helps! Have a wonderful day!
The direct distance from a starting point to a finish line is 20 miles. Unfortunately, you can't take the direct route. If you travel 16 miles west, how many miles south must you travel to reach the finish line? A. 12 B. 16 C. 4
Answer:
12
Step-by-step explanation:
2. The volume of the cylinder correct to 3 significant figures is"
Calculate the volume of the cylinder with a diameter of 10
meters and a height of 8 meters.
Answer:
628 meters²Option D is the correct option.
Step-by-step explanation:
Given,
Diameter ( D ) = 10 meters
Radius ( r ) = 10 ÷ 2 = 5 meters
Height ( h ) = 8 meters
Volume = ?
Now, let's find the volume of the given cylinder:
[tex]\pi \: {r}^{2} h[/tex]
Plug the values
[tex] = 3.14 \times {5}^{2} \times 8[/tex]
Evaluate the power
[tex] = 3.14 \times 25 \times 8[/tex]
Calculate the products
[tex] = 628 \: {m}^{2} [/tex]
Hope this helps...
Best regards!!
) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference
Step-by-step explanation:
the first answer is 72 as it is it
Answer:
The answer is 8.
Step-by-step explanation:
The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.
Drew likes to take the long way to school each morning. He walks 3 blocks west and then 3 blocks north to arrive at the school. Today he is running late and decides go directly to school to save time. (Assume there is nothing obstructing his path.) If one block is 310 feet, how many feet will he travel if he goes directly to school? Round to the nearest tenth of a foot.
Answer:
Distance travel by Drew = 1,315.21 feet (Approx)
Step-by-step explanation:
Given:
Total block in north = 3
Total block in west = 3
1 block = 310 feet
Find:
Distance travel by Drew
Computation:
Total distance in north = 3 × 310 = 930 feet
Total distance in west = 3 × 310 = 930 feet
Distance travel by Drew = √Total distance in north² + Total distance in west²
Distance travel by Drew = √930² + 930²
Distance travel by Drew = √864,900 + 864,900
Distance travel by Drew = √1,729,800
Distance travel by Drew = 1,315.21 feet (Approx)
4) Solve the problem for the compound events.
A bank has a special vault for valuable items. It has 3 dials that operate the combination. The
first dial has the numbers from 1 to 100, the second and third each have the 26 letters of the al-
phabet. In order to open the vault, the bank manager must correctly set each dial. How many
possible combinations are there for this vault?
Answer:
i think its 67600
Step-by-step explanation:
100*26=2600
2600*26=67600
One airline ticket costs $412. for each additional airline ticket sold to a group, the price of all the tickets is reduced by $4. Write a quadratic function that gives the initial cost of buying x tickets.
Answer:
f(x)=104x-x^2
Step-by-step explanation:
Let
x = number of tickets sold.
example, 2 tickets cost 2 · 408 = $816
3 tickets cost 3 · 404 = $738.
The cost of buying x tickets= the number of tickets sold × the price of each ticket.
If x tickets are sold, then the price of each ticket is 412-4(x-1)
Then the quadratic function that gives the total cost of buying x tickets is given by
Cost =quantity sold*price
=412-4(x-1)*x
=(412-4x+4)*x
=412x-4x^2+4x
=416x-4x^2
Divide through by 4
=104x-x^2
Therefore, the required quadratic function is
f(x)=104x-x^2
What is the point-slope form of a line with slope 4/5 that contains the point
(-2, 1)?
Answer:
Y-1=4/5(x-(-2))
Step-by-step explanation:
Point slope form is written as y-y1=M(x-X1)
M is the slope
so replace the variables for the given value
Y-1=4/5(x-(-2))
Answer: y - 1 = 4/5 (x + 2)
Step-by-step explanation:
need help nadding and subtracting functions
Answer:
2x² + [tex]\frac{3}{2}[/tex] x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= [tex]\frac{x}{2}[/tex] - 2 + 2x² + x - 3 ← collect like terms
= 2x² + [tex]\frac{3}{2}[/tex] x - 5
(Please help!) Find the horizontal asymptote of f(x)=-2x^2+3x+6/x^2+1
Answer:
[tex]\large \boxed{\sf \ \ y=-2 \ \ }[/tex]
Step-by-step explanation:
Hello,
To guess the end behaviours when x tends to [tex]\infty[/tex] you only take into account the highest terms of polynomial expressions.
So the expression will be equivalent to
[tex]\dfrac{-2x^2}{x^2}=-2[/tex]
In other words we can say
[tex]\displaystyle \lim_{x\rightarrow+\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow+\infty} \dfrac{-2x^2}{x^2}=-2\\\\\displaystyle \lim_{x\rightarrow-\infty} \dfrac{-2x^2+3x+6}{x^2+1}=\lim_{x\rightarrow-\infty} \dfrac{-2x^2}{x^2}=-2\\\\[/tex]
So, the correct answer is y = -2
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Please answer this in two minutes
Answer:
∠ G ≈ 38.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos G = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GH}{GI}[/tex] = [tex]\frac{7}{9}[/tex] , thus
∠ G = [tex]cos^{-1}[/tex] ([tex]\frac{7}{9}[/tex] ) ≈ 38.9° ( to the nearest tenth )
A steel wire, when bent in the form of a square, encloses an area of 121 sq cm. The same wire
is bent, in the form of a circle. Find the area of the circle.
Answer:
A = 49[tex]\pi[/tex]
Step-by-step explanation:
First, we need to find the length of the wire. We can calculate this because we are given the area of the square, so we can work backwards.
Use the area formula and plug in the numbers:
A = s²
121 = s²
11 = s
We can calculate the length of the wire by multiplying 11 by 4, which is 44.
Now, we know the circumference of the circle is 44 units because that is how long the wire is.
We can work backwards again to find the radius, using the circumference formula:
C = 2[tex]\pi[/tex]r
44 = 2[tex]\pi[/tex]r
22 = [tex]\pi[/tex]r
7 = r
Now, we can find the area of the circle:
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](7)²
A = 49[tex]\pi[/tex]
What is the simplified form of k-5+7
Answer:
k+2 or k=2
Step-by-step explanation:
combine -5 and 7 to get your answer
Answer:
K+2
Step-by-step explanation:
K - 5 + 7 ....add -5 and 7
K+2
can you please help me
Apply the rule x^m/n = nsqrt(x^m)
(2) ^x/12 = 12sqrt(2^x)
The answer is the 3rd choice
Can someone give me some help??
Answer:
OPtion B)
Step-by-step explanation:
Answer: Choice C)
y < (-1/5)x + 1
The boundary line is y = (-1/5)x+1 as it goes through the points shown. The boundary line is dashed or dotted, meaning that points on this boundary line are not in the solution set. So we will not have an "or equal to" as part of the inequality sign. More specifically, the inequality sign is "less than" because we shade below the boundary line. So that's how we end up with y < (-1/5)x+1.
Solve
5/x+y - 2/x-y = -1 and 15/x+y + 7/x-y = 10
Using cross-multiplication method.
Answer:
x = 3 and y = 2
Step-by-step explanation:
Start by multiplying the first equation by "-3" so we can cancel the term with denominator (x+y) when we combine:
[tex]\frac{(-3)\,5}{x+y} -\frac{(-3)\,2}{x-y} =(-3)(-1)\\\frac{-15}{x+y} +\frac{6}{x-y} =3[/tex]
which now added term by term to the second equation gives:
[tex]\frac{-15}{x+y} +\frac{6}{x-y} =3\\\frac{15}{x+y} +\frac{7}{x-y} =10\\ \\\frac{13}{x-y} =13[/tex]
Now we solve for x-y by cross multiplying:
[tex]\frac{13}{13}=x-y\\ x-y=1\\x=y+1[/tex]
Now we use this substitution for x back in the first equation to solve for the unknown y:
[tex]\frac{5}{(y+1)+y} -\frac{2}{(y+1)-y} =-1\\\frac{5}{2y+1} -2=-1\\\frac{5}{2y+1}=1\\5=2y+1\\4=2y\\y=2[/tex]
and now that we know that y = 2, we use the substitution equation to solve for x:
[tex]x=y+1\\x=2+1\\x=3[/tex]
Please help need this done ASAP
Answer:
a) 56548.7 cm³
b) 13 minutes
Step-by-step explanation:
a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)
Fill in r=30 gives: 56548.7 cm³
b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes
Find a12 of the sequence 1/4,7/12,11/12,5/4,
Answer:
Your ans is. a12 = 47/12
Step-by-step explanation:
First, you need to find if the series has a common ratio or a common difference between each term. Based from observation, there is a common difference of 1/3 so the series is an arithmetic series.
The solution for this problem goes like this
an=a1+(n-1)d
a12=1/n+(12-1)(1/3)
a12=47/12
Hope it helped you.. Please mark BRAINLIEST
Tysm
Why is the information in the diagram enough to determine that △LMN ~ △PON using a rotation about point N and a dilation? because both triangles appear to be equilateral because∠MNL and ∠ONP are congruent angles because one pair of congruent corresponding angles is sufficient to determine similar triangles because both triangles appear to be isosceles, ∠MLN ≅ ∠LMN, and ∠NOP ≅ ∠OPN
Answer:
The correct option is;
Because ∠MNL and ∠ONP are congruent angles
Step-by-step explanation:
From the diagram shown in the question, ∠MNL and ∠ONP are vertically opposite angles as they are formed by crossing of the lines LP and MO making them congruent, that is ∠MNL ≅ ∠ONP
Given that two angle of triangle LMN are congruent to two angles of triangle PON , then by the Angle Angle (AA) rule of similarity, triangle LMN and PON are similar.
The information in the diagram enough to determine that △LMN ~ △PON because∠MNL and ∠ONP are congruent angles.
What are Congruent angles?These are referred to angles which have an equal measure. From the diagram ,vertically opposite angles are formed by crossing of the lines LP and MO thus,we can deduce that ∠MNL and ∠ONP are congruent angles.
This means that there is enough information to determine that △LMN ~ △PON using a rotation about point N and a dilation.
Read more about Congruent angles here https://brainly.com/question/1563325
#SPJ2
Q7-8 PLEASE HELP ME
Answer:
(-4,-7)
Step-by-step explanation:
Use the online graphing calculator called Desmos. That's what I did. Just input the two equations and it'll show you the completed graph. I hope this help you:)
please helllppppp........
8% lower means the gauge is showing 92% of the original pressure
( 100% - 8% = 92%)
Divide the pressure the gauge is showing by 92%
33.58 / 0.92 = 36.5
The actual pressure is 36.5
if amir joins indian army, he is courageous.
convert this into contrapositive statement
If Amir is not courageous, then he will not join the indian army.
Hi just need someone to check my amswers. Karana's mom bought her two items using a credit card. The first item cost $236, and the second item cost $384. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items? A. -$148 B. $620 C. -$620 D. $148 i chose C (-620)
Answer:
$620
Step-by-step explanation:
Please answer this in two minutes
Answer:
15
Step-by-step explanation:
Use the Pythagorean Thereom:
[tex]r^{2}[/tex] = [tex]9^{2}[/tex]+[tex]12^{2}[/tex]
[tex]r^{2}[/tex] = 81+144
[tex]r^{2}[/tex] = 225
[tex]r[/tex]= 15
Please mark me as Brainliest!
Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?Chen is baking muffins and banana bread for a brunch buffet. He needs 3 and one-fifth cups of flour to make the muffins and 3 and two-thirds cups of flour to make the banana bread. Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes? A. 6 cups B. 7 cups C. 8 cups D. 9 cups
Answer:
hi:) If chen needed 3 1/5 and 3 2/3, the answer should be 7. 7 cups. i hope this is right but feel free to correct me if im wrong.
B. 7 cups
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
What is the fraction?A fraction is a number which has numerator and denominator.Number of cups used to make muffins = 3 1/5
Estimation = 3 cups
Number of cups used to make banana bread = 3 2/3
Estimation = 4 cups
Number of cups of flour needs to bake both recipes = Estimated number of cups used to make muffins + Estimated number of cups used to make banana bread
= 3 + 4 cups
= 7 cups.
The best estimate of the number of cups of flour that Chen needs to bake both recipes is 7cups.
Learn more about fraction here:
https://brainly.com/question/78672
#SPJ2
Check
Which expressions are a sum or difference of cubes? Sort each expression into the correct category.
64x3 - 216
Sum or Difference of Cubes
Not a Sum or Difference of Cubes
8x9 +27
x3 + 125
36x3 - 121
x6 - 16
Answer:
The answer to your question is given below.
Step-by-step explanation:
To which of the above expression is a sum or difference of cube, or not a sum or difference of cube, we shall do the following simplification:
Note: The Cube root of a particular number is simply a multiplication of an identical number in three places.
64x³ – 216
64 has a cube root of 4 and 216 has a cube root of 6. Therefore, the above expression can be written as:
4³x³ – 6³
(4x)³ – 6³
64x³ – 216 = (4x)³ – 6³
Therefore, 64x³ – 216 can be expressed as a difference of cube.
8x^9 + 27
8 has a cube root of 2, x^9 has a cube root of x³ and 27 has a
cube root of 3. Therefore, the above expression can be written as:
2³(x³)³ + 3³
(2x³)³ + 3³
8x^9 + 27 = (2x³)³ + 3³
8x^9 + 27 can be expreessed as a sum of cube
x³ + 125
125 has a cube root of 5. Therefore, the above expression can be written as:
x³ + 5³
x³ + 125 = x³ + 5³
x³ + 125 can be expressed as a sum of cube
36x³ + 121
36 and 121 has no cube root. Therefore, the above expression is not a sum or difference of cube.
x^6 – 16
x^6 has a cube root of x² and 16 has no cube root. Therefore, the above expression is not a sum or difference of cube.
Summary:
Sum or Difference of cubes
64x³ – 216
8x^9 + 27
x³ + 125
Not a Sum or Difference of cubes
36x³ + 121
x^6 – 16
Answer:
look at attached picture
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
A. Y- 6 = 6(x + 1)
B.y - 5 = 6(x + 7)
C.Y+7= 6(x + 5)
D.y +1 = 6:1-6)
Answer:
D.y + 1 = 6(x - 6)
Step-by-step explanation:
The general form of a straightline equation is given as
y = mx + c
where m is the slope and c is the intercept
m = Δy/Δx
from the given points
m = (-7 - -1)/(5 - 6)
= -6/-1
= 6
Considering the points x₁ and y which are 6 and -1
and using the formular
m = (y - y₁)/(x - x₁)
6 = (y - -1)/(x - 6)
y + 1 = 6(x - 6)
