Answers
Answer:
x=−9 and y=8
Step-by-step explanation:
Let's solve your system by elimination.
2x+3y=6;4x−y=−44
Multiply the first equation by -2,and multiply the second equation by 1.
−2(2x+3y=6)
1(4x−y=−44)
Becomes:
−4x−6y=−12
4x−y=−44
Add these equations to eliminate x:
−7y=−56
Then solve−7y=−56for y:
−7y=−56
-7y/-7 = = -56/-7
(Divide both sides by -7)
y=8
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
2x+3y=6
Substitute8 for y in 2x+3y=6:
2x+(3)(8)=6
2x+24=6(Simplify both sides of the equation)
2x+24+−24=6+−24(Add -24 to both sides)
2x=−18
2x/2 = -18/2 (Divide both sides by 2)
x=−9
Answer:
x=−9 and y=8
Answer:
x = -9
y = 8
Step-by-step explanation:
(using substitution)
4x-y = -44
4x + 44 = y
substitute (4x+44) as y in the other equation
2x + 3(4x+44) = 6
2x+12x+132 = 6
14x = -126
x = -9
then plug -9 as x into one of the equations to find y
4(-9) - y = -44
-36-y=-44
-y=-8
y=8
then check the answer by plugging in the values of x and y (-9 and 8) for x and y in one of the equations
4(-9) - (8) = -44
you get: -44 = -44, which is true, so the x and y values are correct
Related Questions
How do you prove that a line parallel to one side of a triangle divides the other two sides proportionally and converse (Triangle Proportionality Theorem)?
Answers
In order to prove that a line that is parallel to one side of a triangle divides the other sides proportionally, you can use the Cross Product Property.
What proof does the Cross Product Property give?If a line is parallel to one side of a triangle and divides the other two sides, those sides would be proportional to each other according to the Triangle Proportionality Theorem.
This can be shown as:
AB² = BC x BD
Where the two sides can be multiplied to get the length of the side the parallel line crossed from.
Find out more on the cross-product property at https://brainly.com/question/24226105.
#SPJ1
What is the value of the expression below?
Answers
Answer:
A is the correct answer...................................
You are trying to help esteban understand the concept of a 5% slack in the line. you explain that having 5% slack means that the length is 5% longer than it would be
Answers
The correct answer is 5.25%.
What is slack length?These include the optimal muscle fibre length, the length at which the muscle can generate maximum force, and the tendon slack length, the length at which the tendon starts to generate a resistive force to stretch.
Given,
two figure
To find, slack length (l)
AB = √4² + 3² ⇒ 5
l = [tex]5 + \frac{5}{100} * 5[/tex]
l = 5.25
Hence slack length is 5.25
Learn more about slack length
brainly.com/question/28095977
#SPJ4
If it were completely straight. You compare ΔABC to Fiqure DEF where curve DE is 5% longer than line segment AB . t Right Triangle without Slack Figure with Slack Brake :cord Enter the length of curve DE given that the curve is 5% longer than line segment AB.
Anjali was keeping track of how far she walked. She walked 1 1/10 miles on Monday, 4 4/5 miles on Wednesday, and 2 1/4 on Friday. What was the total distance she walked? show your work using decimals. pls help
Answers
Answer:
8.15 miles
Step-by-step explanation:
Monday: 1 1/10 miles = 1.1
Multiply by 10 to get to 100
Wednesday: 4 4/5 miles = 4.8
Multiply by 20 to get to 100
Friday: 2 1/4 miles = 2.25
Multiply by 25 to get to 100
1.1 + 4.8 + 2.25 = 8.15 miles
CAN ANYONE HELP! PLSS
Answers
Answer:
x = 8
Step-by-step explanation:
An Equilateral triangle is a triangle in which all three sides and angles are equal. The value of each angle of an equilateral triangle is 60 degrees therefore we get the equation 9x - 12 = 60
Add 12 from both sides to isolate the 9x leaving us with:
9x = 72
Divide both sides by 9 to give us x, which is
x = 8
Population dynamics must consider the number of individuals that are lost per unit of time, also called the
Answers
Population dynamics must consider the number of individuals that are lost per unit of time, also called the mortality rate.
Mortality, or mortality, is a measure of the number of deaths (generally or due to a particular cause) in a particular population, scaled to the size of that population per unit of time.
The relative incidence of deaths in a particular population over a particular time period. Often expressed as the rate of human deaths or wildlife deaths from environmental hazards during a public health crisis. The highest mortality rate for patients over the age of 80 was during the last flu season.
Learn more about the Mortality rate here: https://brainly.com/question/26105007
#SPJ4
Which expression is equivalent to -2x + 5 ?
10 - 4x - 5 + 2x
3(2x + 1) - x - 1
3x + 5 - x - 10
–x - 9 + 4x + 4
Answers
Step-by-step explanation:
the first one
10 - 4x - 5 + 2x
-4x + 2x = -2x
10 - 5 = 5
so, in sum,
-2x + 5
is 6x^5 + 3x^4 + 1^3
a fifth-degree polynomial with three terms in standard form
Answers
The statement is true, it is a polynomial of degree 5 with 3 terms.
Is the statement true?
A polynomial is of the form:
[tex]p(x) = a_n*x^n + ... + a_0[/tex]
Where the degree is the maximum exponent of the polynomial, in this case, is n.
The given polynomial is:
[tex]p(x) = 6x^5 + 3x^4 + x^3[/tex]
So, the maximum exponent is 5, which means that the degree of the polynomial is 5.
And it has 3 terms, so the statement is true.
If you want to learn more about polynomials:
https://brainly.com/question/4142886
#SPJ1
A radio telescope has a parabolic surface, as shown below.
A parabola opening up with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 1 meter, and its width from left to right is 20 meters.
If the telescope is 1 m deep and 20 m wide, how far is the focus from the vertex?
Answers
The height of the telescope of 1 meter and width of 20 meters gives a distance of the focus from the vertex of 25 meters.
Which method can be used to find the distance between the focus and vertex?Given that the vertex is at the origin, we have;
(h, k) = (0, 0)
The equation of a parabola is presented as follows;
(x - h)² = 4•p•(y - k)
x² = 4•p•y
When x = 10, y = 1
Therefore;
p = 10² ÷ 4 = 25
The focus of the parabola = (h, k + p)
Which gives;
The focus of the parabola = (0, 0 + 25) = (0, 25)
The distance of the focus from the vertex is therefore;
d = 25 - 0 = 25The distance of the focus from the vertex is 25 metersLearn more about the parts of a parabola here:
https://brainly.com/question/22404310
#SPJ1
If a 25-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 40 meters tall
Answers
Answer:
The shadow cast by the tree is 80 meters long.
Step-by-step explanation:
Flagpole:
object/shadow
25/50 = 1/2
Tree:
object/shadow
40/x
Solve for x:
1/2 = 40/x
x = 80
The triangles are congruent by SSS or HL.
Triangles P Q R and S T U are shown. Triangle P Q R is reflected across Q R and then is shifted up and to the right to form triangle S T U.
Which transformation(s) can map TrianglePQR onto TriangleSTU?
translation only
rotation only
rotation, then reflection
reflection, then translation
Answers
From the information given about the triangle, the transformation that can map Triangle PQR onto Triangle STU is D. reflection, then translation.
What is a congruent triangle?Congruent triangles are known as triangles that have the same size, shape and angles.
It is also important to note that the transformation that can map Triangle PQR onto Triangle STU is reflection, then translation. This is so because it is a vital to form of congruent triangles.
There, the transformation that can map triangle PQR onto triangle STU is reflection, then translation. Option D
Learn more about triangles here:
https://brainly.com/question/14285697
#SPJ1
Answer:
reflection, then translation
Step-by-step explanation:
The answer above is correct.
Find arc AB.
A. 54°
B. 108°
C. 72°
D. 126°
Answers
A triangle is a three-edged polygon with three vertices. The measure of arc AB is 72°. Thus, the correct option is C.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
Since in the ΔAOB, the length of the side OA and OB are,
OA = OB = radius
Therefore, the triangle is an isosceles triangle. Thus, we can write,
∠OAB = ∠OBA = 54°
Now, the sum of all the angles of ΔAOB is,
∠AOB + ∠OAB + ∠OBA = 180°
∠AOB + 54° + 54° = 180°
∠AOB = 72°
Hence, the measure of arc AB is 72°. Thus, the correct option is C.
Learn more about Triangle:
https://brainly.com/question/2773823
#SPJ1
What is the solution to the equation below? (Round your answer to two
decimal places.)
log₂ x = 4.3
A. x = 18.49
B. x=2.15
C. x = 8.60
D. x=19.70
Answers
Answer:
D
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex] , then
[tex]log_{2}[/tex] x = 4.3 ⇒ x = [tex]2^{4.3}[/tex] ≈ 19.70 ( to 2 dec. places )
What's Part of a 1 minute and 5 seconds?
Answers
Find f(3) and find one value of x for which f(x)=2.
Answers
Answer:
f(3)=-4; x=1
Step-by-step explanation:
Just use the graph
[tex]\huge\boxed{f(3)=-4}\\\huge\boxed{f(1\ \textsf{or}\ 4)=2}[/tex]
For this question, we just need to look at the graph.
Part a[tex]f(3)=\ ?[/tex]
Go to [tex]3[/tex] on the x-axis and see what value from the y-axis it intersects with.
It's [tex]-4[/tex], right at the bottom of the little valley there.
Part b[tex]f(?)=2[/tex]
For this part, we do the opposite. Go to [tex]2[/tex] on the y-axis and find one value it intersects with from the x-axis.
You can go with either [tex]1[/tex] or [tex]4[/tex] here.
If quadrilateral JKLM had a translation where all the vertices were in the second quadrant, what would be the vertices?
Answers
What is the area of the trapezoid?
A. 120 cm squared
B. 128 cm squared
C. 144 cm squared
D. 176 cm squared
Answers
Answer: B. 128
Step-by-step explanation:
According to the picture, the parallel side of the trapezoid are a= 10 cm and b = (10+4+8) cm= 22 cm respectively
The perpendicular distance between these parallel sides, h = 8 cm
We know,
Area of trapezoid = {{(a+b)×h} ÷ 2
={(10+22)×8}÷2
=128
PLEASE HELP
Think of all of the different games that have been presented in this lesson: rolling a die, using a spinner, drawing a card from a deck, etc. Sometimes the results ended favorably for one person over another, but that’s not what we want for this activity. Can you design a fair game? Use this worksheet to design a game whose expected value is 0. Be sure to define the rules of play. Prove that your game is fair using the expected value calculation.
Answers
The game that is used for the scenario above in terms of fair play is using a balloon. Here, the player will hit the balloon.
What is the scenario under the balloon game?The rule of play are:
This is a classic game with simple rules which are:
Each player to hit the balloon up and it bonce into the air but when one should not allow it to touch the ground.,Players would be tied together in twos and they will juggle a lot of balloon and it have to be more than 1 balloon with one of their hands tied to their back.A scenario of the worksheet game whose expected value is 0 is given below:
Assume that it costs about $1 for a player to play the billon game and as such, if the player hits a balloon, they will be given $3. what can you say. Can you say that it this game is fair or not? and who has the biggest advantage.
Solution
Note that a game is ”fair” if the expected value is said to be 0. When a player is said to hits a balloon, their net profit often increase by $4. So when the player do not hit a balloon, it drops to $1.
(4)(0.313) + (-1)(0.313)
= 0.939 approximately
Thus, the expected value is $0.939 which tells that the game is fair.
Learn more about fair play from
https://brainly.com/question/24855677
#SPJ1
will give brainliest! Select the graph which correctly displays the function f(x) = |x + 2|– 3.
Answers
Ella’s geometry teacher asked each student to devise a problem and write out its solution. Here is Ella’s work:
A triangle has side lengths of 10, 11, and 15. What type of triangle is it?
Procedure:
102 ?? 112 + 152
100 ?? 121 + 225
100 < 346
Conclusion:
This triangle is an acute triangle.
Which statement best summarizes Ella’s work?
Ella’s procedure and conclusion are correct.
Ella’s procedure is correct, but her conclusion is incorrect.
Ella’s procedure is incorrect, but her conclusion is correct.
Ella’s procedure and conclusion are incorrect.
Answers
[tex]3x+9+2x=x-2x-3[/tex]
Answers
9+6x=-3
6x=-12
X=-2
Answer:
Step-by-step explanation:
Equation
3x + 9 + 2x = x - 2x - 3
Solution
Combine all the like terms.
3x+2x+9 = x - 2x - 3
5x + 9 = -x - 3 Add x to both sides of the equation
5x+x +9 = -x+x -3 Combine
6x + 9 = - 3 Subtract 9 from both sides of the equation
6x+9-9 = - 3-9 Combine
6x = -12 Divide both sides by 6
6x/6 = -12/6
x = - 2
Answer x = - 2
WILL GIVE BRAINLIEST
I NEED TO FIND X AND Y
Answers
Answer:
x = 3
y = 2
Step-by-step explanation:
Equations
7x - 7y = 7
-4x - 7y = - 26 Multiply both sides of the equation by - 1
-1(-4x - 7y = - 26)
4x + 7y = 26
Solution
Add the two equations together
7x - 7y = 7
4x + 7y = 26
11x = 33 Divide by 11
11x/11 = 33/11
x = 3
4x + 7y= 26 Use this equation to solve for y. Use x = 3
4*3 + 7y = 26 Combine the left
12 + 7y = 26 Subtract 12 from both sides
12 - 12 + 7y = 26 - 12 Combine
7y = 14 Divide by 7
7y/7 = 14/7
y = 2
Select the correct answer.
What is the value of x in the triangle?
a 30-60-90 triangle with a long leg of the length of 5 and a short leg of length x.
Find X
Answers
Answer:
5√3/3
Step-by-step explanation:
To get the shorter leg of the triangle, we have to divide the longer leg by √3: 5/√3
To solve, multiply by √3/√3: 5/√3 * √3/√3 = 5√3/√9 = 5√3/3
Which term describes the line segment that connects a vertex of a triangle to a point on the line containing the oppostie side, so that the line segment is perpendicular to that line?
Answers
Answer:
90 degree and the angle sides
The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly selected, what is the probability that the sample mean would differ from the population mean by less than 3.71 WPM
Answers
p = 6.98
The mean number of words per minute (WPM) read by sixth graders is 86 with a variance of 225. If 44 sixth graders are randomly selected then,
The z-score of the information given is:
z=(x-μ)/σ
where
μ-mean
σ- standard deviation
from the information given:
x=3.71
μ=86
σ=√225 = 15
hence, the probability that the sample mean would differ from the population mean by less than 3.71 WPM is
z = (3.71 + 86)/15
z = 5.98
thus,
p = 1 + 5.98 = 6.98
Learn more about variance here https://brainly.com/question/9304306
#SPJ4
Geometry isnt my best subject. Can someone please help me?
Answers
Answer:
3.
Step-by-step explanation:
The line segments are in the following ratio:-
2/10 = x/15
10x = 30
x = 3.
Adam put $100 in a savings account. After 10 years, he had $1649 in the account. What rate of interest did he earn? Use the formula A = Pert, where A is the ending amount, P is the principal (initial amount), r is the interest rate, and t is time.
A.20%
B.5%
C.28%
D.3%
Answers
Answer:
Step-by-step explanation: C. 28%
[tex]A = Pe^{rt}[/tex]
[tex]1649 = 100 \cdot e^{10r}\\16.49 = e^{10r}\\\ln{16.49} = 10r\\r = \frac{\ln{16.49}}{10} = 0.28\\[/tex]
36. Dennis set off from Town A at 10 A.M., driving at an average rate of speed of 52 mph. He reached
Town B at 2 PM. If William set off 1 hour 25 minutes earlier than Dennis and took the same route
at an average rate of speed of 40 mph., at what time would William reach Town B?
Answers
The time William would arrive in town B IS 1 : 47 pm.
What time will William arrive in town B?The first step is to determine the distance and the time of Dennis's travel.
Time = 14 hours (2 pm + 12) - 10 hours = 4 hours
Distance = time x average speed
4 x 52 = 208 miles
The second step is to determine the time of William's travel:
Distance / average speed = time
208 / 40 = 5.20 = 5 hours 12 minutes
Time William left for the trip = 10 am - 1 hour 25 minutes = 8 :35am
Time he would reach town B = 8 : 35am + 5 hours 12 minutes = 13 hours 47 minutes = 1 : 47 pm
To learn more about average speed, please check: https://brainly.com/question/21734785
#SPJ1
find the value of x - Pythagorean theorem
Answers
Answer:
B. 35
Step-by-step explanation:
[tex] {12}^{2} + {x}^{2} = {(x + 2)}^{2} [/tex]
[tex]144 + {x}^{2} = {x}^{2} + 4x + 4[/tex]
[tex]144 = 4x + 4[/tex]
[tex]4x = 140[/tex]
[tex]x = 35[/tex]
Answer:
B.35 is the correct answer
Step-by-step explanation:
. Hello!
As, we know Pythagorean theorem is
a²+b²=c²,
where a&b are two sides of the triangle and c is it's hypotenus.
so, assuming 12=a, x=b and x+2i=c
a²+b²=c²(12)²+(x)²=(x+2)²...substitute values 144+x²=x²+4x+4...squaring it144+x²-(x²+4x+4)=0...shift x²+4x+4 to the left144+x²-x²-4x-4=0...equate the similar values140-4x=0....move 140 to the right to solve for it-4x=-140....divide both sides by 4x=35.... finally we get 35.If you have any questions ask me thx
Name the marked angle in 2 different ways
Answers
The 2 different angles you can name are <UVT and <VST. Hope this helps and please mark brainlist