Answer:
[tex]a) 9x +18y \geq 0 \\9x \geq -18y \\x\geq -2y \\\sqrt {9(x+2y)}\\ 3\sqrt {x+2y} \\[/tex]
[tex]b) 3 \sqrt[3]{3*5^3a^9a} b^9 \\15a^3b^9 \sqrt[3]{3a}[/tex]
[tex]c)a\geq 0 \\1/2 \sqrt{2^2*3^2*3a^4a}b^9 \\1/2*2*3a^2\sqrt{3a}b^9 \\3a^2b^9 \sqrt{3a}[/tex]
[tex]d)mp\geq 0 \\3/5 \sqrt{5^2*5mn^6p^6p} \\3|n^3|p^3 \sqrt{5mp}[/tex]
[tex]e) n>0 \\6m 1/\sqrt{2^2*2n^4n} \\3|m|/n^2 1/\sqrt{2n}[/tex]
[tex]f) b\neq 0 \\a\neq 0 \\15/2 \sqrt[3]{x^2/2^3*2a^2b^3b} \\15/(4b) \sqrt[3]{x^2/2a^2b}[/tex]
Find x in the following ,giving reasons
Answer:
x = 22.5
Step-by-step explanation:
→ Remember how many degrees the point to a radius is
90°
→ Set up an equation
x + 3x = 90
→ Simplify
4x = 90
→ Divide both sides by 4
x = 22.5
In a class of 30 students, 6 play an instrument and 17 play a sport. There are 9 students who do not play an instrument or a sport. What is the probability that a student chosen randomly from the class plays neither a sport nor an instrument?
Please help out and explain the best you can! Tysm !
Answer:
Step-by-step explanation:
From the graph attached,
Coordinates of the vertices of ΔOAB,
O → (0, 0)
A → (2, 4)
B → (5, 0)
If a point (h, k) is rotated 90° counterclockwise about the origin the image point will be,
(h, k) → (-k, h)
By this rule, if triangle OAB is rotated 90° counter clockwise, new vertices will follow the same rule,
O(0, 0) → O'(0, 0)
A(2, 4) → A'(-4, 2)
B(5, 0) → B'(0, 5)
By plotting these points we can get the image triangle.
Which of these animals swims at the lowest altitude?
emperor penguin: -1,500 feet
sperm whale: -6,500 feet
leatherback turtle: -4,200 feet
Weddell seal: -1,970 feet
Answer:
Sperm whale
Step-by-step explanation:
6500 feet is the greatest depth of the four
4y - 18 = 20
Y=
PLEASE HELP!!!!!!!
Answer:
y = 9.5 or 19/2
Step-by-step explanation:
4y - 18 = 20
Add 18 to both sides.
4y = 38
Divide by 4.
y = 9.5 or 19/2
Answer:
34
Step-by-step explanation:
4y-18=20
+18 +18
________
4y=38
/4
________
9.5
What is the name of this circle?
number 1 is the answer circle FA
Factor each expression completely.
5x^2 + 10x
SHOW YOUR WORK!!!
HELP ASAP
Factor n²+9n+20
Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
Consider the triangle. A triangle has angle measures of 45 degrees, 45 degrees, and 90 degrees. Which statement is true about the lengths of the sides? Each side has a different length. Two sides have the same length, which is less than the length of the third side. The three sides have the same length. The sum of the lengths of two sides is equal to the length of the third side.
Answer:
Two sides have the same length, which is less than the length of the third side.
Step-by-step explanation:
An isosceles triangle has two opposite sides. If the two angles are equal , it means the triangle is an isosceles. Because 90 degrees is greater than 45 degrees, the two sides with the same length, would have a smaller length than the third side.
this is also a right angled triangle because it has a 90 degree angle. the sum of the square of the two sides would be equal to the square of th third side
What’s the answer ? Please help
Answer:
C.
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEAST TO CORRECT ANSWER
Answer:
B Increase: 1, 6
B Decrease: 2, 5
Step-by-step explanation:
Brainliest plz ;)
I will delete your answer if wrong.
The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?
A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of 59
A degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only
Answer:
D
Step-by-step explanation:
If you think of the equation as an equation for a line.
=+
y
=
m
x
+
b
where
=5/9(−32)
C
=
5
/
9
(
F
−
32
)
or
=5/9−5/9(32)
C
=
5
/
9
F
−
5
/
9
(
32
)
you can see the slope of the graph is 5/9
5
/
9
, which means that for an increase of 1 degree Fahrenheit, the increase is 5/9
5
/
9
of 1 degree Celsius. Therefore, statement I is true.
This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of 9/5
9
/
5
degrees Fahrenheit. Since 95
9
5
= 1.8, statement II is true.
On the other hand, statement III is not true, since a temperature increase of 9/5
9
/
5
degrees Fahrenheit, not 5/9
5
/
9
degree Fahrenheit, is equal to a temperature increase of 1 degree Celsius.
The final answer is D.
Answer:
D
Step-by-step explanation:
equation is C= 5/9(F-32)
T, U, and V are
collinear. Suppose
U is between T and
V and that the
following is true:
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
Find TU.
The value of TU is 17.
Here,
T, U, and V are collinear.
U is between T and V
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
We have to find TU.
What are collinear points?
Three or more points are said to be collinear if they are lie on a single straight line.
Now,
T, U, and V are collinear.
U is between T and V
TU = 7x - 4,
UV = 6x + 10, and
TV = 45.
Clearly, TU + UV = TV
After putting the given values we get;
TU + UV = TV
(7x - 4) + (6x + 10) = 45
13x + 6 = 45
13x = 45 - 6
13x = 39
x = 3
Hence, TU = 7x - 4 = 7 * 3 - 4 = 21 - 4 = 17
So, The value of TU is 17.
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Which of the following could be the equation of a trend line for the data shown in the scatter plot?
HELPPPP
Answer:
A) y= -1.4x + 13
Step-by-step explanation:
use the graphing app desmos it makes your life easier
please I need help please solve 1A and 1B
Answer:
1A) 114°
1B) adjacent and supplementary
Step-by-step explanation:
1A) m∠m = 180 - 66
1B) adjacent angles share a common side
the sum of supplementary angles add to 180°
Consider the following polynomial:
-2a^3b^2+5ab^5+7b4+8
What is the degree, leading coefficient, constant, and leading term of this polynomial?
*(Can you please show or tell me step by step on how u got there, please)
Answer:
degree: 5
leading coef: 5
constant: 8
leading term: 5ab^5
Step-by-step explanation:
degree is highest exponent leading coef is number in the term w highest exp, constant is the number with no variables attached and leading term is term w highest exp
What is the value of -124/?
Answer:
I think the value of -124 is just 124
Just remove the negative!!
Step-by-step explanation:
Hope this helped!!!
What shapes are quadrilateral
A quadrilateral is a four-sided two-dimensional shape. The following 2D shapes are all quadrilaterals: square, rectangle, rhombus, trapezium, parallelogram and kite.
True or False: A discrete relation is a relation with an infinite set of values in the domain.
NEED HELP ASAP WILL GIVE BRAINLLEST
Answer:
Yes
Step-by-step explanation:
solve
x+y=5 and 3x-5y=7
Answer:
X=4, y=1
Step-by-step explanation:
Alguien que hable ESPAÑOL :)
Answer:
yo
Step-by-step explanation:
PLZ HELP an apple juice container has a tiny hole in it so it is slowly leaking is the container leaks three ounces every 19 minutes how long will it take for 16 ounces of juice in the container to leak out?
Answer:
the answer is on line and it have the correct work
Write the formula to evaluate the rate of VAT (V%) if
selling price with VAT is Rs. x and selling price without
VAT is Rs. y.
help.
Answer:
V% = (100(x - y)/x)%
Step-by-step explanation:
We are given;
Selling price with VAT = Rs. x
Selling price without VAT = Rs. y.
Thus; VAT = Rs. (x - y)
Rate of VAT(V%) = ((x - y)/x) × 100%
= (100(x - y)/x)%
One batch of walnut muffins uses 1 1/3 cups of walnuts. How many cups of
walnuts are needed to make
3 3/4 batches of muffins?
3 cups
5 cups
5 1/12 cups
4 cups
Answer:
5 cups
I would appreciate Brainliest but no worries.
19. Find the
equation
of straight line which passes
through the
point (3, 4) and makes Y-intercept
twice than X - intercept
>-<
:)
༼ つ ◕_◕ ༽つ
(/▽\)
(o゜▽゜)o☆
Which equation represents a line which is perpendicular to the line
7x + 3y = -18?
Oy=7/3x +1
Oy= 3/7 x + 5
Oy= - 3/7 x + 2
Oy= -7/3 x + 6
Answer: y=3/7x + 5
Step-by-step explanation:
The solution is, y = 3/7 x + 5, equation represents a line which is perpendicular to the line 7x + 3y = -18.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
here, we have,
we know that,
In order to determine the equation with a line perpendicular to the given equation, consider that for two perpendicular lines, the relation in between their slopes is:
m1 = -1/(m2)
where m1 and m2 are the slopes of the lines.
Write the given equation in slope-intercept form to identify the slope m1, as follow:
7x + 3y = -18 subtract 7x both sides
3y = - 7x - 18 divide by 3 both sides
y = -7/3 x - 6
remind that the general form of the equation of a line can be written as follow:
y = mx + b
where m is the slope. Based on the expression for y = -7/3 x - 6, you have
m1 = -7/3
then, calculate m2:
m2 = -1/(m1)
m2 = -1/(-7/3)
m2 = 3/7
Hence, it is necessary that the perpendicular line has a positive slope of 3/7.
From the given answer choices, you can notice that the only option with the required slope is:
y = 3/7 x + 5
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I really need help with this please help
Regular hexagon ABCDEF is inscribed in circle X and has an apothem that is 6√3 inches long. Use the length of the apothem to calculate the exact length of the radius and the perimeter of regular hexagon ABCDEF. In your final answer, include your calculations.
Answer:
Part A
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the given values we get;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
R = 12 inches
The radius of the circumscribing circle is 12 inches
Part B
The length of each side of the hexagon, 's', is;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
s = 12 inches
The perimeter, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon is 72 inches
Step-by-step explanation:
The given parameters of the regular hexagon are;
The length of the apothem of the regular hexagon, a = 6·√3 inches
The relationship between the apothem, 'a', and the circumradius, 'R', is given as follows;
[tex]a = R \cdot cos \left(\dfrac{\pi}{n} \right)[/tex]
Where;
n = The number of sides of the regular polygon = 6 for a hexagon
'a = 6·√3 inches', and 'R' are the apothem and the circumradius respectively;
Part A
Therefore, we have;
[tex]The \ circumradius, \ R = \dfrac{a}{cos \left(\dfrac{\pi}{n} \right)}[/tex]
Plugging in the values gives;
[tex]The \ circumradius, \ R = \dfrac{6 \cdot \sqrt{3} }{cos \left(\dfrac{\pi}{6} \right)} = \dfrac{6 \cdot \sqrt{3} }{\left(\dfrac{\sqrt{3} }{2} \right)} = 6 \cdot \sqrt{3} \times \dfrac{2}{\sqrt{3} } = 12[/tex]
The circumradius, R = 12 inches
Part B
The length of each side of the hexagon, 's', is given as follows;
[tex]s = a \times 2 \times tan \left(\dfrac{\pi}{n} \right)[/tex]
Therefore, we get;
[tex]s = 6 \cdot \sqrt{3} \times 2 \times tan \left(\dfrac{\pi}{6} \right) = 6 \cdot \sqrt{3} \times 2 \times \left(\dfrac{1}{\sqrt{3} } \right) = 12[/tex]
The length of each side of the hexagon, s = 12 inches
The perimeter of the hexagon, P = n × s = 6 × 12 = 72 inches
The perimeter of the hexagon = 72 inches
Answer: radius = 12, perimeter = 72
Step-by-step explanation:
We know that in 30-60-90 right triangles, the hypotenuse is exactly twice the length of the short leg and the long leg is the short leg times √3.
so therefore, if the long leg (apothem) is equal to 6√3, the short leg is equal to 6
long leg = 6√3
long leg = short leg √3
short leg = 6
hypotenuse (radius) = 2(short leg)
hypotenuse (radius) = 2(6)
hypotenuse (radius) = 12
The radius of hexagon ABCDEF = 12 inches
Perimeter = r (sides)
Perimeter = r (6)
Perimeter = 12 (6)
Perimeter = 72
The perimeter of hexagon ABCDEF = 72 inches
How many groups of ¾ are there in 5
Answer:
6 2/3
Step-by-step explanation:
We can divide 5 by 3/4 to get the answer. 5 divided by 3/4 is the same thing as 5 times 4/3 which is 20/3 and 20/3= 6 2/3.
Hope this helps :)
It is found that the number of groups of ¾ there in 5 would be; 20/3.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division, is interpreted as equally dividing the number that is being divided into total x parts; where x is the number of parts the given number is divided.
We need to find the number of groups of ¾ there in 5.
Thus, We can divide 5 by 3/4 ;
5 divided by 3/4 is the same thing as 5 times 4/3 which will be;
5 / ¾ = 5 x 4/3
20/3
Also, 20/3 = 6 2/3.
So we can conclude that the number of groups of ¾ there in 5 would be; 20/3.
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