Answer:
(0, -6)
Step-by-step explanation:
Given the following systems of linear equations;
3x - 2y = 12 ...... equation 1
16x - 4y = 24 ........ equation 2
We would solve for the solution using the elimination method;
Multiplying eqn 1 by 2, we have;
2 * (3x - 2y = 12)
6x - 4y = 24
16x - 4y = 24
Subtracting the two equations, we have;
(6x - 16x) + (-4y -[-4y]) = (24 - 24)
-10x - 0 = 0
-10x = 0
x = -0/10 = 0
Next, we would find the value of y;
3x - 2y = 12
3(0) - 2y = 12
0 - 2y = 12
-2y = 12
y = -12/2
y = -6
Check:
3x - 2y = 12
3(0) - 2(-6) = 12
0 - (-12) = 12
12 = 12
Note: the options provided for this questions are incorrect or inappropriate.
3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°
Answer:
a = 158.3 units²
Step-by-step explanation:
a = (∅/360) * πr²
using 11 ft as the radius
a = (150/360) * 3.14 * 11²
a = 158.3 units²
Easy question 34.8 + 6.879 =?
Answer: Easy Answer: 41.679
Step-by-step explanation:
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
ASAP PLSSSS HELP!!!!!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)144
B)313
C)169
D)5
E)None of these answers are correct
Answer:
the answer is d or e i think its d but its one of the 2
Step-by-step explanation:
Determine the value of x
Answer:
the answer will be Root 2
Step-by-step explanation:
x^2 = 1^2 + 1^2
We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure
x^2 = 1 + 1
x^2 = 2
taking square root on both the sides
x = root of 2
The value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
Given that in a right-angled triangle, base is equal to1 and hypotenuse is equal to x.
To find the value of x by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem, follow steps:
Step 1: Given right-angled triangle whose two angles are of equal measures that is equal to [tex]45^{\circ}[/tex]. That implies the triangle is an isosceles triangle.
That implies, perpendicular = base = 1 .
Step 2: Applying the concept of Pythagoras theorem:
Pythagoras theorem states that (perpendicular[tex]{)}^2[/tex] +(base[tex]{)}^2[/tex] = (hypotenuse[tex]{)}^2[/tex]
Plugging the given and data from step 1 gives:
[tex](1)^{2}+1^2=x^{2}[/tex]
On substituting the square of 1 equal to 1 (gives):
[tex]x^{2} = 1+1[/tex]
On adding gives:
[tex]x^{2} =2[/tex]
Taking square root gives:
[tex]x=\sqrt{2}[/tex]
Therefore, the value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
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Mr. Osborne needs two students to help him with a demonstration. He decides to draw two names out of a bag to make things fair. There are 9 girls and 12 boys in his class. What is the probability that he draws the names of two boys?
Express tan J as a fraction in simplest form
Answer:
Tan J = 3/4
Step-by-step explanation:
Recall, SOH CAH TOA
TOA means:
Tan J = Opp/Adj
Reference angle = <J
Opposite = 15
Adjacent = 20
Plug in the vakues
Tan J = 15/20
Simplify
Tan J = 3/4
Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
Margo will pay $ 44 in interest.
Step-by-step explanation:
Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:
3/12 x 11 = 0.25 x 11 = 2.75
1600 x 1.0275 = X
1644 = X
1644 - 1600 = 44
Therefore, Margo will pay $ 44 in interest.
Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
Plz help me with is question, ill try to give brainliest
Answer:
[tex]\text{B. } (8,6)[/tex]
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex]:
[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes throughIn slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].
To find the point of intersection, set those two equations equal to each other and solve:
[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]
[tex]y=x-2,\\y=8-2,\\y=6[/tex]
Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]
Express in the form 1: n.
Give n as a decimal.
16 : 12
Answer: n will be 4
Step-by-step explanation:
y= 2x + 1
y = -3x +6
Solve the solution to this system of linear equations
(Please help)
Answer:
yeahh, i'm proud of you
Step-by-step explanation:
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240
Answer:
C. b²< 40
Step-by-step explanation:
2x²+ bx + 5=0 has no real solutions
=> D< 0
b² < 4ac
b²< 4(2)(5)
b²< 40
Graph the image of square CDEF after a reflection across the x-axis
Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
basket. Now Basket A has three times as many plums as basket B. How many more
plums are there in basket A than basket B now.
Answer:
87 many more plums are there in Basket A than Basket B
Step-by-step explanation:
Before
N = 58/2
Basket A = N x 7 + 58
Basket B = N x 7
Now
Basket A = 29 x 7 + 58
= 261/3
= 87
Basket B = 29 x 7
= 203 + 58
= 261/3
= 87
Basket A and B has a difference of 87 Plums
:) Thank you!!
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
923.63
Step-by-step explanation:
the formula for the surface area of a cylinder is 2πrh + 2πr^2 ( i just looked it up lol)
The following are the last 10 run scores Colin got in cricket:
34, 26, 11, 9, 20, 19, 31, 6, 33, 35
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 29 runs.
What is his new mean score?
Give your answers as decimals.
HELPPPO
Answer:
a)18.8
b)20
Step-by-step explanation:
Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8
The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20
Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG
Answer:
i think its b
Step-by-step explanation:
Jalen plots two integers on a horizontal number line. The leftmost integer is negative. Which must be true of the second integer
Answer:
The second integer is greater than the first.
Step-by-step explanation:
Since the first integer is the leftmost out of the two, this means that the second one must be greater than the first since it is to the right of it.
Answer:
c
Step-by-step explanation:
Identifying a Proportional Relationship in a Table
Which takle represents a proportional relationship?
x
y
4
*
.
09
y
8
5
2
12
7
18
20
26
12
28
60
84
18
20
9514 1404 393
Answer:
see below
Step-by-step explanation:
A proportional relationship is one in which the ratio of y to x is a constant for all non-zero values of x and y.
Of the tables shown here, this is the case only for the one shown below. It has ...
y = 1.4x
Answer:
The middle one
Step-by-step explanation:
The middle one
y = (7/5)x
x y
5 7
20 28
60 84
Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.
Answer:
10 miles
Step-by-step explanation:
The Pythagorean Theorem states a^2+b^2=c^2
So, (8^2)+(6^2)=c^2
64+36=100
Square root of 100=10
i have 6 eggs, i broke 2, i cooked 2, and i ate 2, so how many are left?
Answer:
I can't tell if this is a joke or not haha but you would have four eggs left because you broke two, cooked and ate the same two eggs.
Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes
Answer:
not sure
Step-by-step explanation:
23 points help plzzz
Which number is an integer?
O -3/4
O 1/5
O 2
O 4 2/3
The answer is 2 ez.
Answer:
2
Step-by-step explanation:
hope i helped :))
Select the correct answer.
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
A.
2.205 × 1011
B.
1.8 × 104
C.
1.8 × 1010
D.
2.205 × 104
What is the thirteenth number in the Fibonacci sequence
Answer:
The 13th number in the Fibonacci sequence is 144.
Step-by-step explanation:
The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
[tex]\huge\boxed{\sf 144}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]
Why is this graph proportional?
Answer:
The graph represents a linear function that passes through the origin.
Step-by-step explanation:
Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.
Find the volume of the cubes or rectangular prisms in cubic centimeters.
Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box
Step-by-step explanation:
The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given are dimensions of cuboid and cubes, we are asked to find their volumes.
We know that, volume of cube = side³
Volume of cuboid = length · width · height
1) Dimensions of the cuboid = 3/5, 4/5, 3/5
Volume = 3/5×3/5×4/5 = 36/125 cm³
2) Dimensions of the cuboid = 1/5, 2/5, 3/5
Volume = 1/5×2/5×3/5 = 6/125 cm³
3) Side of the cube = 1/5 cm
Volume = (1/5)³ = 1/125 cm³
4) Side of the cube = 2/5 cm
Volume = (2/5)³ = 8/125 cm³
Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
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It represents the set of traits, competencies and values an individual would like to possess.
a. Perceived Self
b. The Ideal Self
c. Self-Identities
d. Self Esteem
Answer:
The correct answer is - d. Self Esteem
Explanation:
Self-esteem is how we value and perceive ourselves. It based on the believes and opinions we make for ourselves. It represents various traits and characteristics such as self-confidence, identity, feeling of belonging, and competency.
Values are the principle or opinions we make to follow and values provide a sense of identity and uniqunessgive you a clearer sense of self, meaning, more energy, focus, and self-esteem.
The option that represents the set of traits, competencies and values an individual would like to possess is;
Option B; The Ideal Self
Let us access all the given options;
Option A; Perceived self is simply defined as how an individual sees himself or herself. Option B; The Ideal Self is defined as how an individual would like himself or herself to be. This means such an individual will wish he or she possessed certain traits or values.Option C; Self Identities are simply how individuals identify and define themselves. For example an athlete, a Pastor, a doctor, a lecturer e.t.c.Option D; Self esteem is simply defined as the worth or value individuals place on themselvesLooking at the definitions above, in conclusion we can see that the only one that fits the description given in the question is The Ideal Self.
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Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)
Answer:i
Step-by-step explanation:i