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Explanation:
We're told that "p is directly proportional to the square of q", which means that we have the equation
p = k*q^2
for some constant k
Replace p with 12 because we're also told that p = 12.
So we now have this equation
12 = k*q^2
which is the same as
kq^2 = 12
We'll use this later.
-----------------------
Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling
p = k*q^2
p = k*(2q)^2 ... replace q with 2q
p = k*4q^2
p = 4k*q^2
p = 4*(kq^2)
p = 4(12) ...... replace kq^2 with 12
p = 48
Therefore, if q is doubled, then p = 12 quadruples to p = 48.
what is not a composite number out of 2 4 6 8
Answer:
2
Step-by-step explanation:
2 has the factors 2 and 1 while the others have:
4- 4, 2,1
6- 6, 3, 2, 1
8- 8, 4, 2, 1
The three side lengths of a triangle are given. Which triangle is a right triangle?
A. Triangle 1:13−−−√, 6, 7
B. Triangle 2: 7, 8, 13
C. Triangle 3: 10, 11, 12
D. Triangle 4:10−−−√, 9, 8
Answer:
i am assuming "13----√" means "√13" ect. I am also assuming that the first 2 values are legs and the final is the hypotenuse.
the answer is then "A"
Step-by-step explanation:
The triangle whose sides are √13, 6, and 7, is a right triangle.
What is the right triangle?A right triangle is defined as a triangle with one right angle or two perpendicular sides. The longest side of a right triangle is called the hypotenuse.
Pythagorean Theorem :The square on the hypotenuse is equal to the total of the squares on the legs of a right triangle.
Mathematically, let r be the length of the hypotenuse of a right triangle. Again let p, q be the lengths of other sides of this triangle. By the Pythagorean Theorem,
r² = p² + q².
How to solve this problem?We just check which triangle's sides follow the above theorem.
Option A (Triangle with sides √13, 6, and 7 ):
13 + 36 = 49
i.e. (√13)² + 6² = 7²
This triangle's sides follow the Pythagorean Theorem.
So, the triangle with sides √13, 6, and 7 is a right triangle.
Option B (Triangle with sides 7, 8, and 13 ):
49 + 64 ≠ 169
i.e. 7² + 8² ≠ 13²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 7, 8, and 13 is not a right triangle.
Option C (Triangle with sides 10, 11, and 12 ):
100 + 121 ≠ 144
i.e. 10² + 11² ≠ 12²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides 10, 11, and 12 is not a right triangle.
Option D (Triangle with sides √10, 9, and 8 ):
10 + 64 ≠ 81
i.e. (√10)² + 8² ≠ 9²
This triangle's sides do not follow the Pythagorean Theorem.
So, the triangle with sides √10, 9, and 8 is not a right triangle.
Therefore the triangle whose sides are √13, 6, and 7, is a right triangle. So, option A is correct.
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FIRST CORRECT ANSWER GETS BRANLIEST
Answer:
3 : 10
Step-by-step explanation:
The length of a rectangle is 5 centimeters more than the width.
The area of the rectangle is 36 square centimeters.
What is the length?
Answer:
Length is 4 centimeters
Step-by-step explanation:
4 x (4 + 5)
4 x 9
36
Encierra todo los números que sean mayores a 18,031 2
no se me alludas a saber cual es
Find g. 45° 45° g 3
[tex]3 \sqrt{2} [/tex]
Write your answer in simplest radical form, units
Step-by-step explanation:
sin45=3√2/g
g=3√2/(1÷√2)=3×√2×√2=3×2=6units
Answer:
g = 6 units
Step-by-step explanation:
In the given right angled triangle , rest 2 angles are same i.e. 45° each.
Lets assume the angle opposite to the side whose measure is 3√2 units as α (alpha).
⇒ α = 45°
So ,
[tex]\sin \alpha = \frac{side \: opposite \: to \: \alpha }{hypotenuse}[/tex]
[tex]=> \sin 45 = \frac{3\sqrt{2}}{g}[/tex] ( [tex]\alpha = 45[/tex] )
[tex]=> \frac{1}{\sqrt{2}} = \frac{3\sqrt{2}}{g}[/tex] (∵ [tex]\sin 45 = \frac{1}{\sqrt{2}}[/tex] )
[tex]=> g = 3\sqrt{2} \times \sqrt{2} = 6[/tex]
what is the answer to this problem if you need to find out the area?
Answer:
17.28in
Step-by-step explanation:
To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:
7.2*4.8=34.56
34.56/2=17.28
What is a equivalent expression to this expression?c(4a+b)
Answer:
The answer is 4ac+bc u have to multiply
What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?
Answer:
12x × 1x × 3x = 36x
)))))))))))))))))))
All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph of the function,
⇒ y = (5x + 7) (2x - 1) (x - 4)
Now,
Find x - intercept of the equation as;
Substitute y = 0, we get;
⇒ y = (5x + 7) (2x - 1) (x - 4)
⇒ (5x + 7) (2x - 1) (x - 4) = 0
This gives three conditions as;
⇒ 5x + 7 = 0
And, 2x - 1 = 0
And, x - 4 = 0
After solve we get;
⇒ 5x + 7 = 0
⇒ x = -7/5
And, 2x - 1 = 0
⇒ x = 1/2
And, x - 4 = 0
⇒ x = 4
Hence, All the x - intercept = -7/5 , 1/2 , 4.
Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
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Order these lines from the steepest to the least steep.
Answer:
B, A, D, CStep-by-step explanation:
The slopes are:
2, -4, -1/2, 3/4Ordering from the greatest to the least by absolute value:
-4, 2, 3/4, -1/2Correct choice is:
B, A, D, CAnswer:
slopes are 2,-4,-1/2,3/4
Step-by-step explanation:
In order would be B=-4,A=2,C=3/4,D=-1/2
Hope this helps
What is the ratio of the length of the rectangle to its width. 24 and 20
What is 25% of 160?
Instructions
100 of 100 words remaining
BUI EEE Tv
b. What is 39 of 2007
Instructions
100 watt
Done and Review
2021
Answer:
I have no idea what ur saying
Step-by-step explanation:
In the figure below, o ll g. Find the values of x and z. (42 - 16 • 1 84
Answer:
x = 96
z = 28
Step-by-step explanation:
Given:
(4z - 16) , 84, o║g
Proof
X = 180 - 84 (Sum of Opposite angles is 180)
x = 96
Let's take ∠(4z - 16) as ∠A
∠A = ∠X (Vertically opposite angles)
(4z - 16) = 96
4z = 96 + 16
4z = 112
z = 112/4
z = 28
evaluate 4a + b2 for a = 4 b=3
Answer:
22
Step-by-step explanation:
We substitute the numbers for the letters to get 4*4 + 3*2 and then we multiply. 16 + 6 which equals 22. I hope this helps and please mark brainliest!
Answer:
22
Step-by-step explanation:
4a + b2
4(4) + (3)2
4 x 4 = 16
3 x 2 = 6
16 + 6 =
22
Which of the following expressions are equivalent to 4 + 36x
Please answer and dont take my points bc i am in a hurry
A
4(1) + 4(36x)
B
4(1 + 36x)
C
2(1) + 4(9x) + 4
D
4(1 + 9x)
Answer:
The answer would be D.
Answer:
The answer is D 4(1 + 9x) or C depending on what school website you use.
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation
x2 + 7x – 27 = 0, which number would have to be added to "complete the
square"?
To determine the constant that makes the expression (x² + kx) a perfect square,
Take the coefficient of the second term which is k and ÷2
In this case, it is (7/2)²
At the end it looks like
x² + 7x + (7/2)² = 27 + 49/4
(x + 7/2)² = 157/4
The number is added is 7/2² or 49/4.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x² + 7x – 27 = 0.
Now, we have to half the coefficient of x and then add and subtract the square of half the coefficient of x
So, x² + 7x – 27 +7/2² - 7/2² = 0.
( x+ 7/2)² – 27- 49/4 = 0.
( x+ 7/2)² = 157/4
Hence, the number is added is 7/2² or 49/4.
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I will mark you brainiest if you can answer this
Answer:
y=2x
Step-by-step explanation:
y= 2x
b is 0 because there is no y-intercept and it's going up 2 right 1 so the slope is 2
Answer:
Step-by-step explanation:
Chicken nugget
Micah is saving money for his first car his parents gave him 250 for his birthday and each week he plans on putting $40 into his savings account
Answer:
whats the question though?
April buys a necklace that cost $38.25. There is a 6% sales tax. What is the total cost?
Answer:
$40.55
Step-by-step explanation:
Write and equation of the line in slope intercept form that passes through the points. (0,1) (2,4)
Which rate does not belong with the other three? 8 pounds for every 2 feet 12 pounds per 3 feet 20 pounds per 4 feet 24 pounds for every 6 feet
Answer:
20 pounds per 4 feet
all the others have the same proportion, 4 pounds per foot
Step-by-step explanation:
PLS HELP!! BRAINLIEST!!
Answer:
Look below :)
Step-by-step explanation:
To find the relative frequencies, divide each frequency by the total number of students in the sample–in this case, 4 + 6 + 4 + 3 + 3. Which gives us 20. So for A grade, 4/20 people got it, which is 20%. We do that for the rest of them:
B = 6/20 = 30%
C = 4/20 = 20%
D = 3/20 = 15%
E = 3/20 = 15%
Now for the second question, the most is 30%, so most students got B. I hope this helps and please makr brainliest! <3
The measure of angle B is 83º, and the measure of angle C is 42°. C What is the measure of angle D in degrees? 55° 0125
After dinner 1-3 of the corn bread is left suppose 2 friends want to share it equally what fraction names how much of the whole pan of corn bread each f riend will get
Answer:
Each friend will get [tex]\frac{1}{18}[/tex] of whole pan of corn bread
Step-by-step explanation:
As given,
Corn bread left = [tex]\frac{1}{3}[/tex]
Total number of friends = 2
So the left bread will divide into 2 parts
So, each person will get = [tex]\frac{1}{2}[/tex] ( [tex]\frac{1}{3}[/tex] ) = [tex]\frac{1}{6}[/tex] of the left bread
Now,
Left bread = [tex]\frac{1}{3}[/tex] of whole bread
And
Each person get = [tex]\frac{1}{6}[/tex] of the left bread
= [tex]\frac{1}{6}[/tex] ×[tex]\frac{1}{3}[/tex] of whole bread
= [tex]\frac{1}{18}[/tex]of whole bread
∴ we get
Each friend will get [tex]\frac{1}{18}[/tex] of whole pan of corn bread
help........................................................................
Step-by-step explanation:
what is Fahrenheit use celsius bruuuhhhh
Answer:
C. The temperature decreased by 6.75 degrees F
Step-by-step explanation:
Please answer will give brainlyest! :D
Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!
The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!
Here we already know what 2 of the sides are! Therefore we find the sum.
((5/4)x+3)+3x-2= (17/4)x+1
Then we need to multiply this sum by 2
((17/4)x+1)*2=(17/2)*x+2
*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!
Hope this helped!!
Answer:
P = (8.5x + 2)Step-by-step explanation:
Given
l = (5/4x + 3) and w = (3x - 2)Find the perimeter
P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 2The mall is having a sale on all shoes. Each pair is $3.50 off the original price. Which expression shows the final price of a pair of shoes?
3.5+x
x- 3.5
3.5x
which is the answer???
and could anybody help me with a few more questions?
Answer:
x-3.5
Step-by-step explanation:
I suppose that x= the orginal cost of the pairs of shoes.
The expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the mall is having a sale on all shoes. Each pair is $3.50 off the original price.
Assume the original price of the shoes is $x. So, the expression that shows the final price of a pair of shoes is given by -
f(x) = (x - 3.5)
Therefore, the expression that shows the final price of a pair of shoes is given by f(x) = (x - 3.5).
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can someone solve this please , ill give Brainly to whoever is first :)
Answer:
630 in^2
Step-by-step explanation:
21 x 15 divided by 2 = 157.5
157.5 x 4 = 630
Answer:
Step-by-step explanation:
I person who answers this is right
What is the difference?
Answer:
I WAS WRONG PICK D
Step-by-step explanation:
I'm an idiot
To choose the 8 songs, the director writes the name of each of the 12 songs on a slip of paper, puts them in a hat, and draws 8 slips. What is the probability that the set s/he chooses contains two of the four songs that have soprano solos?
Answer:
0.339
Step-by-step explanation:
Given that :
Total number of songs = 12
Number of songs to choose = 8
Total number of draws = 8
Selecting 2 of the 4 songs with syprano solos : 4C2
The 6 remaining songs from. The rest:
12-4C8-2 = 8C6
Total possible selections = 12C8
Hence,
probability that the set s/he chooses contains two of the four songs that have soprano solos will be :
(4C2 * 8C6) / 12C8
(6 * 28) / 495
168 / 495
= 0.339
