Answer:
It will be in the 3rd quadrant.
Step-by-step explanation:
Hope that helps!
Answer:
The rotated figure appears in the 3rd quadrant
Step-by-step explanation:
To visualize a problem can sometimes be challenging.
It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.
Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.
Corner coordinates are therefore:
A =( 1, 0)
B =( 2, 0)
C =( 2, 1)
D =( 1, 1)
Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).
The new coordinates are:
A' =(-1, 0)
B' =(-2, 0)
C' =(-2 -1)
D' =(-1, -1)
These are all in third quadrant.
Therefore, the rotated figure appears in the 3rd quadrant
Simplify sqrt of 75x^6y^11 to the form a sqrt of b
Answer:
2121221
Step-by-step explanation:
What is the value of p?
Answer:
p = 50°.
Step-by-step explanation:
To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.
Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:
180 - 140 = 40°.
Repeat this same step for the other angle.
180 - 90 = 90°.
Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.
180 - 90 - 40 = 50°.
Therefore, p = 50°.
what is m<2? and what ism<4
Answer:
a and c
Step-by-step explanation:
∠ 1 = 60° ( vertical angle )
The sum of the 3 angles in a triangle = 180°, thus
∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a
(7)
∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°
∠ 3 and ∠ 4 are adjacent angles and supplementary , thus
∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c
Select two possible values for x in the equation x2 = 45.
Answer:
3✓5 or -3✓5
Step-by-step explanation:
Taking the square root of both sides, we get
x = ±3✓5
Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?
a. X = (25.92 - 2.57) = 5
b. x = 25.92 = 5 + 2.57
c. X = (25.92 +2.57) = 5
d. x = 25.92 - 5 -2.57
Answer:
a. X = (25.92 - 2.57) ÷ 5
Step-by-step explanation:
shld be a divide sign instead of a equal sign before 5
What is the y-intercept of the equation 4x + 5y = 20?
(0,4)
(0,5)
(4,0)
(5,0)
Answer:
(0,4)
Step-by-step explanation:
4x+5y=20
5y=20-4x
y=4-4/5x
y-intercept means a point on the y-axis(x=0)
y=4-4/5x
y=4-4/5(0)
y=4
Therefore, y-intercept is at (0,4)
Find the value of x in the given figure using properties of parallel lines. answers : A) 27° B) 18° C) 36° D) 54°
Answer:
[tex]\mathrm{B}[/tex]
Step-by-step explanation:
[tex]126+3x=180[/tex]
[tex]3x=180-126[/tex]
[tex]3x=54[/tex]
[tex]\frac{3x}{3}=\frac{54}{3}[/tex]
[tex]x=18[/tex]
Answer:
[tex]x = 18[/tex]
Step-by-step explanation:
Co - interior angles = 180°
[tex]3x + 126 = 180 \\ 3x = 180 - 126 \\ 3x = 54 \\ \frac{3x}{3} = \frac{54}{3} \\ x = 18[/tex]
A cone holds 450 gallons of water. How many gallons of water will a cylinder hold if it has the same base area and height as the cone?
Answer:
the length is 50 gallons
Step-by-step explanation:
Prove that for any natural n the number 3^(n+4)−3n is divisible by 16.
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
The proof that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16 is; it was simplified to 3ⁿ × 5
What is the proof that the number is divisible?
We want to show that show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is; (3ⁿ⁺⁴ - 3ⁿ)/16
From laws of indices, we know that;
aᵐ⁺ⁿ = aᵐ × aⁿ.
Thus; 3ⁿ⁺⁴ can be expressed as 3ⁿ × 3⁴.
Thus; (3ⁿ⁺⁴ - 3ⁿ)/16 is;
((3ⁿ × 3⁴) - 3ⁿ) = 3ⁿ((81 - 1)/16)
3ⁿ(80/16) = 3ⁿ × 5
The expression has been fully simplified to show that any natural number n in (3ⁿ⁺⁴ - 3ⁿ) is divisible by 16.
Read more about proof of numbers at; https://brainly.com/question/10657323
Mr. Davis has 15 students in his class he wants to send three of his students to pick up books for the class how many combinations of students can he choose
Answer:
45 combinations
Step-by-step explanation:
15*3= 45
Do 6,7 for 10 points.
Answer:
6. x = 3 7. x = 120 8. x= -5
Step-by-step explanation:
the first question is x(-4) + 3 = -9
find the value of x :
-4x + 3 = -9
we can subtract 3 on both sides since we have a value of 3 on the left, which will cancel the value out.
-4x = -12
-4(3) = -12
therefore the answer to problem 6 is x=3
and for 7 :
x / 6 - 9 = 11
we can add 9 on both sides which will cancel it out;
x/6 = 20
120/6 = 20
therefore the answer to the question 7 is 120.
For problem 8 it says :
-3x -5 = 10
we can add 5 on both sides to get:
-3x = 15
-3(-5) = 15
therefore the answer to problem 8 is -5
Determine the value of z in the figure answers: z = 40° z = 90° z = 20° z = 45°
Answer:
20 degreesStep-by-step explanation:
This is a linear pair, whose sum always equals 180 degrees,
hence, we can set up the equation:
2z+140=180
2z=180-140
2z=40
z=40/2
z=20
Thus, the answer is 20 degrees
Answer:
z = 20°
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
2z+ 140 = 180
Subtract 140 from each side
2z+140-140 = 180-140
2z = 40
Divide by 2
2z/2 = 40/2
z = 20
Where is the largest element in the matrix located? a12 ON a34 a21
Answer:
a21Explanation:
I got it wrong the first two times and this is the answer it gives you.
How many roots does (x+10)^9 have. Please explain how u did it.
Answer:
This expression contains a one root (x= -10) of multiplicity 9
Step-by-step explanation:
Notice that this polynomial is given in factor form, since it is equivalent to 9 products of the same factor (x+10):
[tex](x+10)^9=(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)\,(x+10)[/tex]
Therefore, there is a single root x = -10, since when x=-10 each of these binomial factors result in a zero.
In mathematical terms, such type of root is said to have multiplicity. And in this case, the multiplicity is "9" (the number of equal binomial factors of the polynomial form).
Answer:
9
Step-by-step explanation:
(x+10)^9 is the 9-degree polynomial so it has 9 roots
if it is equal to zero then it has 9 equal roots of x= -10
Use the graph to find the solution to this system of linear equations.
Answer:
-1, -1/2
Step-by-step explanation:
The solution is the intersecting point. The two lines intersect at (-1, -1/2)
measurement of these angles
Answer:
1= 105, 2= 75
Step-by-step explanation:
Based on the 75 degree angle, since alternate interior angles have the same measurements, angle 2 will also measure 75 degrees. Furthermore, since angle 1 and angle 2 are supplementary angles, angle 1 will be 105 degrees because 105 + 75 is 180.
Find the radius round your answer to the nearest tenth
Answer:
r = 3m
Step-by-step explanation:
Formula for the volume of a sphere: V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
We want to find the radius so we use algebra to rearrange the equation to make the radius (r) the subject of the equation
Divide both sides by [tex]\frac{4}{3}[/tex]
[tex]\frac{3V}{4}[/tex] = [tex]\pi[/tex][tex]r^{3}[/tex]
Divide both sides by [tex]\pi[/tex]
[tex]\frac{3V}{4\pi }[/tex] = [tex]r^{3}[/tex]
Take the cube root of both sides
[tex]\sqrt[3]{\frac{3V}{4\pi } }[/tex]= r
Substitute V = 36[tex]\pi[/tex] into the equation
r = [tex]\sqrt[3]{\frac{3(36\pi) }{4\pi } }[/tex]
Expand the bracket
r = [tex]\sqrt[3]{\frac{108\pi }{4\pi } }[/tex]
Divide 108[tex]\pi[/tex] by 4[tex]\pi[/tex] (For this, the two [tex]\pi[/tex] in the numerator and denominator cancel each other out, and you only need to divide 108/4)
r = [tex]\sqrt[3]{27}[/tex]
The cube root of 27 is 3, because [tex]3^{3}[/tex] = 3 x 3 x 3 = 27
r = 3
Please Help!!
What is the measure of angle AXB?
Answer:
Step-by-step explanation:
Two angles are supplementary when their sum is 180
∠AXB + ∠BXC = 180° {Supplementary angles}
8x + 10 + 2x - 20 = 180
Add the like terms
10x - 10 = 180
10x = 180 + 10
10x = 190
x = 190/10
x = 19°
∠AXB = 8x + 10
= 8 * 19 +10
= 152 + 10
∠AXB = 162
Answer:
180 degrees
Step-by-step explanation: the measure of angle AXB is ( a + a ) and the sum of the measured angles AXB and BXC = 180 , so a + ( a + a) = 180.
both these angles add up to be 180 degrees because they are both supplementary angles they both share the sides of x and b.
if it confuses you, just use a bit of repeated addition and multiplication
for example : 30 + 30 + 30 + 30 + 30 = 5 x 30 which equals to 150
because you add 30 , 5 times .
Christian created a model
of his truck using a scale of
1 inch : 36 inches. If the length
of his actual truck is 250.4
inches, how long is his model,
rounded to the nearest inch?
Answer:
7 inches
Step-by-step explanation:
250.4/36= 6.955555 rounded to nearest inch is 7
Can someone please help
What is unique about an equilateral triangle? *
Answer:
Option A
Step-by-step explanation:
An equilateral triangle's sides are equal to each other, and all their angles are equal.
The best option is A.
What makes the other answers wrong:All angles in a equilateral triangle are 60° each. They are not obtuse.
All three angles of a equilateral triangle are congruent. Again, they all measure 60° each.
All sides of a equilateral triangle are congruent.
each ice cream cone cost $100. Students get 5 1/2 and seniors get 7 1/2. how much more does seniors get?
Answer:
2
Step-by-step explanation:
7 1/2 - 5 1/2
7.5 - 5.5
2
Solve the inequality. Graph the solution set. 23 + 156 > 5(3b + 1)
Answer:
b<58/5
Step-by-step explanation:
One year, a farmer harvested 50,000 bushels of wheat on her family farm.
Three years later, she harvested 12,000 more bushels of wheat from the
same fields. How much wheat did she harvest that year?
A. The change in the amount of wheat harvested
B. The amount of wheat harvested in the later year
C. The area of the farm
Answer: A hope it helps
i think its a
I need help ASP on this
Answer:
2l + 2w is the formula for perimeter. l = 2w + 6 can be written as "the length is 6 feet more than two times its width."
The answer is B.
Answer:
B
Step-by-step explanation:
Can anyone help me with these two questions?
Step-by-step explanation:
Problem 5:
Since parallelogram ABCD has to be a parallelogram, than that means that all opposite sides have to be congruent on it. One side has to be equivalent to the opposite side, so the equation on that line is equivalent to the equation on the opposite side, as well. EXAMPLE: 5x = 3x+10, which turns to 2x = 10, which turns to x = 5.
Problem 6:
Just like Problem 5, the opposite lines in the middle of the rhombus have to be congruent to one another since the given shape must be a parallelogram. So 4x = 8, and that turns to x = 2. I solved all of these problems using multi-step equations.
Hope this helped!
When making a budget, a recommended goal is to spend 10% on utilities. In reality, household spending depends on economic levels. Households with incomes from $15,000 to $20,000 spend over 11% on utilities. Households with incomes from $50,000 to $70,000 spend 8.2% on utilities, while households with incomes above $150,000 spend only 4.8% on utilities. The McKinneys' annual income is $65,000. How much should they budget annually for utilities? Enter the answer as a whole dollar amount, such as $200.
Answer:
= $5530
Finds us 8.2%
Step-by-step explanation:
if 8.2 was recommended for utilities then we need to find 8.2% of $65,000
We take 65000 x 0.082 = 5530
Therefore the Mckinney's annual income is 65,000 less $5530 for utilities.
We write it as $5,530 in pen and type in whole amount as $ 5530.
Answer:
$5,330
Step-by-step explanation:
Read this statement:
"The McKinneys' annual income is $65,000."
Now, read this statement:
"Households with incomes from $50,000 to $70,000 spend 8.2% on utilities"
Since $65,000 is between $50,000 and $70,000, the percent you need is 8.2%.
8.2% of $65,000 = 0.082 * $65,000 = $5,330
Write an exponential equation in the form y = abx whose graph passes through points (−3, 24) and (−2, 12). y = 3x y = 3(0.5)x y = 0.5(3)x y = −3(24)x
Answer:
Option B.
Step-by-step explanation:
The given exponential equation is
[tex]y=ab^x[/tex] ...(1)
It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).
The graph passes through the point (-3,24), so substitute x=-3 and y=24 in equation (1).
[tex]24=ab^{-3}[/tex] ...(2)
The graph passes through the point (-2,12), so substitute x=-2 and y=12 in equation (1).
[tex]12=ab^{-2}[/tex] ...(3)
Divide equation (3) by equation (2).
[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]
[tex]0.5=b[/tex]
Substitute b=0.5 in equation (2).
[tex]24=a(0.5)^{-3}[/tex]
[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]
[tex]24=\dfrac{a}{0.125}[/tex]
[tex]24\times 0.125=a[/tex]
[tex]3=a[/tex]
Substitute a=3 and b=0.5 in equation (1).
[tex]y=3(0.5)^x[/tex]
Therefore, the correct option is B.
What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?
Answer:
Look at the attachment
Consider 2.25t + 5 = 13.5t + 14
Write the resulting equation after moving the 2.25t to the right side
If 13.5t is moved to the left side, what is the resulting equation?
--------------------------------------------------------------------------------
Andre and Diego were each trying to solve 2x + 6 = 3x -8.
Describe the first step they each make to the equation.
Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8
Answer:
5 = 11.25t +14-11.25t +5 =14Andre moved 3x to the left.Diego moved 3x to the rightStep-by-step explanation:
Moving the 2.25t to the right side2.25t + 5 = 13.5t + 14
5 = 13.5t + 14 - 2.25t
5 = 11.25t +14
Moving the 13.5t to the left side
2.25t + 5 = 13.5t + 14
2.25t + 5 -13.5t= 14
-11.25t +5 =14
Andre moved 3x to the left.2x + 6 = 3x -8
2x+6-3x=8
-x+6 =8
Diego moved 3x to the right2x + 6 = 3x -8
6 =3x-8-2x
6= x-8
Feel free to ask for more if needed or if you did not understand something.