A midpoint has coordinates of [tex](-2, -1)[/tex] we will call them [tex](x_m, y_m)[/tex].
The coordinates of a midpoint are constructed from coordinates of enpoints [tex](x_1,y_1),(x_2,y_2)[/tex], namely as a divided sum.
[tex]
x_m=\frac{x_1+x_2}{2}\implies x_1=2x_m-x_2 \\
y_m=\frac{y_1+y_2}{2}\implies y_1=2y_m-y_2
[/tex]
Now insert the numbers.
[tex]
x_1=2(-2)-(-6)=2 \\
y_1=2(-1)-4=-6
[/tex]
The result is an endpoint at [tex](2,-6)[/tex].
Work out the length x.
+
7.5 cm
16 cm
Answer:
x ≈ 17.67 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 16² + 7.5² = 256 + 56.25 = 312.25 ( take the square root of both sides )
x = [tex]\sqrt{312.25}[/tex] ≈ 17.67 ( to 2 dec. places )
The measure of hypotenuse length x would be 17.67 cm
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).
Using the Pythagoras' identity in the right angled triangle.
hypotenuse² = perpendicular² + base²
x² = 16² + 7.5²
x²= 256 + 56.25
x²= 312.25
Now take the square root of both sides
x = √312.25
x = ≈ 17.67 ( to 2 dec. places )
Therefore, the measure of hypotenuse length x would be 17.67 cm
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Which model represents a fraction greater than Three-fifths? A circle divided into 5 equal parts. One part is shaded. A circle divided into 10 equal parts. 5 parts are shaded. A circle divided into 6 equal parts. 2 parts are shaded. A circle divided into 10 equal parts. 8 parts are shaded.
Answer: A circle divided into 10 equal parts with 8 parts shaded
Step-by-step explanation:
Alright, there are a lot of words here so lets write them down as fractions so its easier to compare.
A circle divided into 5 parts with 1 part shaded = 1/5
A circle divided into 10 parts with 5 parts shaded = 5/10
A circle divided into 6 parts with 2 parts shaded = 1/3
A circle divided into 10 parts with 8 parts shaded = 8/10
Okay so looking at this we can see that they don't have a common denominator so lets fix that
1/5 = 6/30
5/10 = 15/30
1/3 = 10/30
8/10 = 24/30
3/5 = 18/30
Now lets find which one is greater than 3/5
Only the 24/30 one is greater, and looking back that is the circle divided into 10 parts with 8 of them shaded.
Answer: B for short
Step-by-step explanation:
All credit to the person above me! <3
Vineet solved a system of equations by substitution. In his work, he substituted an expression for one of the variables
and solved for the value of the other. This resulted in the equation 7 = 9. What can Vineet conclude?
Answer:
The system of equations does not have a solution.
Step-by-step explanation:
For example, imagine these two equations y = x + 7 and y = x + 9
Now substitute y in the second equation with the value from the first equation:
x + 7 = x + 9
x - x + 7 = 9
0 + 7 = 9
7 = 9.
That happens because the equations represent parallel lines, which do not have a common pair of points.
find the measure of the indicated angle to the nearest degree. Part 1
Answer:
hope this helps you
what is the slope of the line shown below?
Answer:
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-4-2)/(-1-2)
m=-6/-3
m=2
how would i answer this?
Answer:
Option (B).
Step-by-step explanation:
Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}
Since in every ordered pair value of x corresponds a distinct value of y.
The given ordered pairs represent one-to-one function.
Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}
In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.
Therefore, its not a function.
Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}
For every value of x there is distinct value of y.
Therefore, given set of ordered pairs represent a one to one function.
Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}
Ordered pairs represent a function.
Option (B), will be the answer.
When simplifying square root expressions, look for any ___________ that can be pulled out of the radical.
Answer:
perfect square number
Step-by-step explanation:
When simplifying square root expressions, look for any perfect square
that can be pulled out of the radical.
Given that,
When simplifying square root expressions, look for any ___________ that can be pulled out of the radical. blank space to be filled.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
When simplifying the square root we see the number that is perfect squares, because only a perfect square can be pulled out from the square root.
Thus, When simplifying square root expressions, look for any perfect square that can be pulled out of the radical.
Learn more about arithmetic here:
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11 12 13 14 15 16 17 18 19 20 TIME REMAINING 01:04:38 Jamal uses the steps below to solve the equation 6x – 4 = 8. Step 1: 6x – 4 + 4 = 8 + 4 Step 2: 6x + 0 = 12 Step 3: 6x = 12 Step 4: StartFraction 6 x Over 6 EndFraction = StartFraction 12 Over 6 EndFraction Step 5: 1x = 2 Step 6: x = 2 Which property justifies Step 3 of his work?
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Answer:
Identity property of addition
Step-by-step explanation:
Given
Step 3: 6x = 12
Required:
Which property justifies Step 3 of his work
The property that justifies this step is the identity property of addition;
At step 2; the equation was
6x + 0 = 12
When 0 is added to any expression or number, the value of the number or expression remains unchanged.
So, when 0 is added to 6x on the left hand side of the equation, the value remains the same as follows:
So, 6x + 0 = 12 becomes
6x = 12.
This property is referred to as the Identity property of addition
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
(x+9)(x+3)
x*x = x^2
x*3 = 3x
9*x = 9x
9*3 = 27
Answer = x^2 + 12x + 27
Hope this helps
Answer:
x^2+12x+27
Step-by-step explanation:
have a nice day:)
Which table represents a linear function?
Answer: first one
Step-by-step explanation:
Help PLZZZ
Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).
A The parabola g(x) will open in the opposite direction of f(x), and the parabola will be narrower than f(x).
BThe parabola g(x) will open in the same direction of f(x), and the parabola will be narrower than f(x).
CThe parabola g(x) will open in the opposite direction of f(x), and the parabola will be wider than f(x).
D The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Answer:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
Answer:
It's B.
Step-by-step explanation:
I took the test.
Simplify
4a x 6a^5
8a^2
It is a fraction
Answer:
[tex] = 3 {a}^{4} [/tex]
Step-by-step explanation:
[tex] \frac{4a \times 6 {a}^{5} }{8 {a}^{2} } \\ = \frac{24 {a}^{1 + 5} }{8 {a}^{6} } \\ = \frac{24 {a}^{6} }{8 {a}^{2} } \\ = 3 {a}^{6 - 2} \\ = 3 {a}^{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The right answer is 3a^4
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
(60,0) how is it shown on graph?
Answer:
0 y and 60 x so
VVVVVVVVVVVVVVVVVVVVVV
Step-by-step explanation:
its 60 on the x-axis
please answer asap (don't need explanation)
Answer:
The slope is 60.
Points for the graph are: (0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)
Step-by-step explanation:
I don't know what the question is but I will tell you your graph is horribly wrong.
The points for the graph is:
(0,0), (1, 60), (2, 180), (3, 240), (4, 320), (5, 400), (6, 480), (7, 560)
Really need help it’s due tomorrow
Answer:
C) 38
Step-by-step explanation:
You are solving for m∠QSR.
Given:
m∠TSR (Total of the two angles) = 70
m∠QST = 2x
m∠QSR = 3x - 10
Set the two angles equal to the total measurement of angles:
2x + 3x - 10 = 70
Simplify. Combine like terms. Add 2x & 3x:
2x + 3x = 5x
5x - 10 = 70
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides:
5x - 10 = 70
5x - 10 (+10) = 70 (+10)
5x = 70 + 10
5x = 80
Next, divide 5 from both sides:
(5x)/5 = (80)/5
x = 80/5
x = 16
Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.
m∠QSR = 3x - 10
m∠QSR = 3(16) - 10
m∠QSR = 48 - 10
m∠QSR = 38
C) 38 is your answer.
~
Answer:
38
Step-by-step explanation:
the sum of two angles =70
2x+3x-10= 70
5x=80
x=80/5=16
QSR= 3x-10=3*16 -10= 48-10= 38
a zoo has 15 toucans and 60 parrtos
Answer:
It has 75 birds
Step-by-step explanation:
Hope that's the answer since I can't get the question
WILL GIVE BRAINLIEST
If b^2-4ac>0, which of the following conclusions can be made about the graph of f(x)=ax^2+bx+c, a≠0?
a. The graph has two distinct x-intercepts.
b. The graph has three distinct x-intercepts.
c. The graph has no x-intercepts.
d. The graph has one x-intercept.
Answer:
c. The graph has no x-intercepts.
Step-by-step explanation:
because it will never touch the x axis
A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]
The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts
There are three possible roots of a quadratic function
Complex rootsDistinct real rootsRepeated real rootsWhen [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:
The function has distinct real roots
In other words, the function has 2 different values of x
This implies that,
The function crosses the x-axis two times
When the function cross the x-axis, it means that the function has an x-intercept
Hence, the conclusion is:
a. The graph has two distinct x-intercepts.
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What figure can be made using the net shown?
Hube
a hexagonal prism
an octagonal prism
a hexagonal pyramid
an octagonal pyramid
Answer:
Correct option: First one -> Hexagonal prism
Step-by-step explanation:
In the figure we have two hexagons and six rectangles. If we fold each part correctly, we can use the two hexagons as horizontal bases of a prism, and the six rectangles would be the sides of the prism (each rectangle connected to one side of lower hexagon and one side of upper hexagon).
So the figure created would be a hexagonal prism.
Correct option: First one.
Answer:
First one
Step-by-step explanation:
Can someone help me solved this problem plz! I need help help ASAP! Plz help me with this problem! If you help me I will mark you as brainiest!
Step-by-step explanation:
a 6xy is the answer to question a
Answer:
(1) 6 (2) 2
Step-by-step explanation:
[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]
[tex]y=\frac{36}{18}\\y=2[/tex]
what is the value of this expression when c=4 c^3/2
Answer:
8
Step-by-step explanation:
c ^ 3/2
Let c = 4
4 ^ 3/2
Rewriting 4 as 2^2
2 ^2 ^3/2
We know that a^b^c = a^(b*c)
2 ^(2*3/2)
2 ^3
8
the right answer is 8.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment....
what is the length of BC?please help!!!
Answer:
2.1
Step-by-step explanation:
using cosine theorem or substraction of two vector
b = AC = 5
c = AB = 6
a² = b² + c² - 2bc cos A
a² = 5² + 6² - 2*5*6 cos 20°
a² = 4.62
a = √4.62
a = 2.149
a ≈ 2.1
What is the largest possible value x could take given that it must be an integer? x < 5
Answer:
4
Step-by-step explanation:
No greater number than 4 can be x because otherwise it'll be equal to or more than 5
The largest possible value x could take given that it must be an integer of x < 5 is; x = 4
We first have to understand the meaning of integers.
Integers are defined as whole numbers which could be positive or negative or even zero.
Now, we want to find the highest possible integers that are less than 5 from;
x < 5
Now, the first integer lower than 5 will be the highest possible one. That integer is 4.
Thus, x = 4.
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What is the radius of this cone ? V=16cm3 and 12 cm
Answer:
1.13 cm
Step-by-step explanation:
V=1/3 * pi*r^2*h
h=12 cm (assuming, since that's what you gave)
V=16
r=1.13 cm
What is the square root of 24 to the 16th power
Answer:
24 ^ 8
Step-by-step explanation:
sqrt(24) ^ 16th power
Rewriting the square root as ^ 1/2
24 ^ 1/2 ^ 16
We know that a^b^c = a^ (b*c)
24 ^ (1/2*16)
24 ^ 8
Answer:
2²⁴ *3⁸ or 24⁸
Step-by-step explanation:
the square root of 24 to the 16th power can be written as 24
([tex]\sqrt{24}[/tex] )¹⁶
√ means power of 1/2 so ([tex]\sqrt{24}[/tex] )¹⁶ = (24)^(¹⁶/₂) = 24⁸ or
24 = 4*6 and [tex]\sqrt{24} = 2\sqrt{6}[/tex]
then (2[tex]\sqrt{6}[/tex] )¹⁶= 2¹⁶ *6⁸ = 2¹⁶ * 2⁸ *3⁸ = 2²⁴ *3⁸
The cost of each white tile was £2 the cost of each blue tile was £4 b) work out the ratio of the total cost of the white tiles to the total cost of the blue tiles
Answer:
2b) 4/2=2
3) 80/60=8/6
Pls answer this correctly
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1720 and a standard deviation of 20. Approximately what percentage of buckets contain between 1680 and 1760 pieces of popcorn?
Approximately 68%
Approximately 75%
Approximately 95%
99.7%
Help for brainliest answer
Step-by-step explanation:
SA=ph+2A, that is, perimeter × height+ twice area
p=21+20+29=70cm
h=22cm
70×22=1540cm
A=1/2 ×20×21=210×2=420
1540+420=1960cm2
what is the slope of the equation y= 5/4c- 7/4
Answer:
5/4 is the slope
Step-by-step explanation:
y= 5/4c- 7/4
This is in the slope intercept form
y = mx+b where m is the slope and b is the y intercept
5/4 is the slope and -7/4 is the y intercept
Answer:
5/4
Step-by-step explanation:
This equation is in slope intercept form (y=mx=b) so when interpreting the information we see that the slope is 5/4.
y = y
m = slope
x = x or in this case they use c
b = y intercept
This equation represents a line that intercepts at -7/4 and has a slope of 5/4. This can be checked by plugging in any point on the line for x and y.
Hope this helps!
A jar contains 7 orange, 3 yellow, and 5 blue marbles. If you pick one without looking, what is the probability that the marble you pick will be neither orange nor yellow?
show work pls tnx!
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
Answer:
⇒Pgreen or yellow=5\11
Step-by-step explanation:
Probability here is the chance of selection out of a total. So, we need to first find the total number of marbles.
total
=
5
+
3
+
2
+
1
=
11
So there are
11
marbles total. The probability that we pick one of the
3
green marbles out of the
11
is simply that ratio:
P
green
=
3
11
Same idea for yellow:
P
yellow
=
2
11
The probability of picking either of these colors is simply the sum of their probabilities.
P
green or yellow
=
P
green
+
P
yellow
=
3
11
+
2
11
=
5
11
A flow chart has 4 boxes. The top box is labeled given and contains angle A is-congruent-to angle B, angle C is congruent to angle B. The second box is labeled symmetric property and contains angle B is-congruent-to angle C. The third box is labeled question mark and contains angle A is congruent to angle C. The fourth box is labeled definition of congruent to angle x and contains m angle A = m angle C. What is the missing justification? transitive property reflexive property symmetric property substitution property
Answer:
transitive property
Step-by-step explanation:
The transitive property tells you that ...
∠A ≅ ∠B and ∠B ≅ ∠C
means you can conclude ...
∠A ≅ ∠C . . . . transitive property of congruence
Answer:
transitive property
Step-by-step explanation:
on Edguenity quiz
