[tex]\begin{cases} h(x)=\sqrt{x}\\ g(x)=4x^2+4 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(\sqrt{a})=4(\sqrt{a})^2+4\implies g(\sqrt{a})=4\sqrt{a^2}+4\implies g(\sqrt{a})=\boxed{4a+4} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ h(~~g(\sqrt{a})~~)\implies h\left( \boxed{4a+4} \right)=\sqrt{4a+4}\implies h(~~4a+4~~)=\sqrt{4(a+1)} \\\\\\ h(~~4a+4~~)=\sqrt{2^2(a+1)}\implies h(~~4a+4~~)=2\sqrt{a+1}[/tex]
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
A. Find the center of the circle
B. Find the radius. if your answer is not an integer, express it in radical form.
C. Write an equation for the circle
Answer:
Step-by-step explanation:
The center of the circle is the midpoint of the two end points of the diameter.
Formula
Center = (x2 + x1)/2 , (y2 + y1)/2
Givens
x2 = 4
x1 = - 10
y2 = 6
y1 = - 2
Solution
Center = (4 - 10)/2, (6 - 2)/2
Center = -6/2 , 4/2
Center = - 3 , 2
So far what you have is
(x+3)^2 + (y - 2)^2 = r^2
Now you have to find the radius.
You can use either of the endpoints to find the radius.
find the distance from (4,6) to (-3,2)
r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )
x2 = 4
x1 = -3
y2 = 6
y1 = 2
r^2 = ( (4 - -3)^2 + (6 - 2)^2 )
r^2 = ( (7)^2 + 4^2)
r^2 = ( 49 + 16)
r^2 = 65
Ultimate formula is
(x+3)^2 + (y - 2)^2 = 65
The radius is √65 = 8.06
Work out the size of angle X
What single decimal multiplier would you use to increase by 5% followed by a 20% increase?
Answer:
The desired single multiplier is 1.26.
Step-by-step explanation:
A 5% increase results in the original amount PLUS 5% of the original amount:
1.05(original amount)
If a 20% increase follows, we must multiply the above 1.05(original amount) by 1.20:
1.20(1.05)(original amount), or (after multiplying), 1.26.
The desired single multiplier is 1.26.
Find the value of x.
Answer:
Step-by-step explanation:
This is a right triangle; so you can use the Pythagorean Theorem ([tex]a^2 + b^2 = c^2[/tex]), where a and b are the lengths of the legs and c is the hypotenuse.
You get: [tex]5^2 + 12^2 = c^2[/tex]
Simplify the expression: [tex]25 + 144 = c^2[/tex]
Combine like terms: [tex]169 = c^2[/tex]
Take the square root of both sides: [tex]\sqrt{169} = \sqrt{c^2}[/tex]
Evaluate: 13 = c
So the answer is letter c ... x = 13
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
-7/45
-4/15+1/9 (two negatives make a plus or addition)
least common multiple of 15 and 9 = 45
45 is the denominator
15*3=45 , 9*5 = 45
-4*3 = -12 ,1*5 = 5
-12+5 = -7/45
Answer:
-7/45
Step-by-step explanation:
find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)
[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]
subtracting a negative = addition
[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]
A teacher writes the following product on the board:
(5x + 2)(x + 4) = 5x^2 +22x +8
Palesa says that 5x^2 +22x + 8 is a factor of 5x +2.
Nune says that 5x+ 2 is divisible by 5x^2 +22x +8.
Who is correct?
Subtract the
rational
7 - 12
Answer:
-5
Step-by-step explanation:
12-7=5
7-12=-5
If this helps please mark as brainliest
Arithmetic
7-12
Meaning, 12 less than 7.
7-12=-5
The slope of line j is 2 and j || K. What is the slope of line k?
What is The answer , what goes in the QR
may be QR also equal to 34
resuelve la siguiente ecuación polinómica
Answer:
This question cannot be solved.
Step-by-step explanation:
because they have different
Suppose that the monthly salary can be modeled by the function p(x) = 20,000 + 50x. In the formula, 20,000 represents the base salary, and the person gets an additional $50 for every sale. The variable x represents the number of sales. How many items does the salesperson need to sell to earn $30,000?
Answer:
$50 is the earned for every sales
$30000 is earned for 30000/50=600
He has to made 600 sales to earn 30000
What is the median of this set of data?
362, 187, 211, 298, 331, 250, 347, 199
Answer:
187, 199, 211, 250, 298, 331, 347, 362
[tex]median = {( \frac{n}{2} + 1) }^{th} \: value \\ = ( \frac{8}{2} + 1) {}^{th} \: value \\ = {5}^{th} \: value \\ median = 298[/tex]
Answer:
The median is the middle number in a set of data when the data is arranged in ascending (this is more common) or descending order. If there are an even number of values in the data set, the median is the arithmetic mean of the two middle numbers. Thus, the median separates the lower and higher half of a data set.
Step-by-step explanation:
ascending order : 187, 199, 211, 250, 298, 331, 347, 362
answer: 250, 298 .
18) What is the DIAMETER of the circle below? *
12.4mm
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
100 points and reward brainliest!
(28-b)xb=187
b = ?
Answer:
[tex]b=11, b=17[/tex]
Step-by-step explanation:
To get rid of the parenthesis, distribute:
[tex]b(28-b)=187,\\28b-b^2=187[/tex]
Move all terms to one side and factor:
[tex]b^2-28b+187=0,\\(b-11)(b-17)=0,\\\begin{cases}b-11=0,b=\boxed{11}\\b-17=0,b=\boxed{17}\end{cases}[/tex]
Answer:
b = 11, 17
Step-by-step explanation:
=> (28 - b) × b = 187
=> 28b - b² = 187
subtracting 187 from both sides=> 28b - b² - 187 = 0
dividing the equation by (-1) and rearranging=> b² - 28b + 187 = 0
breaking -28b into 2 variables such that the variable multiply to form 187b²=> b² - 11b- 17b + 187 = 0
{as (-11b)×(-17b) = 187b² and (-11b)+ (-17b) = -28b }
=> b (b - 11) - 17(b - 11) = 0
=> (b- 11)(b - 17) = 0
either(b - 11) = 0
=> b = 11
or(b - 17) = 0
=> b = 17
therfore,
b = 11, 17A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
A. 33 miles
B. 83 miles
C. 120 miles
D. 270 miles
Answer:
270
Step-by-step explanation:
you would do 18x15
Help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
x = -1
Step-by-step explanation:
AB + BC = AC = 28
the way from A to C goes through B.
so, the total way of A to C is the sum of the way from A to B and then from B to C.
=>
(5x + 10) + (2x + 25) = 28
7x + 35 = 28
7x = -7
x = -1
Answer:
x = -1
Step-by-step explanation:
5x + 2x + 10 + 25 = 28
7x + 35 = 28
7x = -7
x = -1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
X+3y=6 2x+8y=-12 Solve silmatenous equations
Answer:
[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]
A car collection has ¼ black cars, ⅝ red cars ond 7 white cars. Draw model of the car collection?
answer below.
mark me brainlist
Answer:
Step-by-step explanation: Let the total no of cars in the collection be X
Number of black cars = (1/4)X
Number of red cars = (5/8)X
Number of white cars= 7
Summation of all the cars,
(1/4)X + (5/8)X + 7 = X
X= 56
Therefore,
Number of black cars = (1/4) of 56 = 14
Number of red cars = (5/8) of 56 = 35
Number of white cars = 7
Daisy's mom is 4 times as old as she.The sum of their ages 6 years ago was 28.How is her mother now?
Answer:
32
Step-by-step explanation:
Daisy's mom is 4 times as old as she.
m = 4d
The sum of their ages 6 years ago was 28.
(m - 6) + (d - 6) = 28
Substitute for m = 4d
(4d - 6) + (d - 6) = 28
Combine like terms
5d - 12 = 28
5d = 40
Divide by 5
d = 8
m = 4d
m = 4 * 8
m = 32
A. 1/3=0.33
B. 1/6=0.17
C. 1/10=0.10
D. 1/4=0.25
simplify
−3.2(2x − 2.1)
I will give u brainliest and 5 star and thanks if its correct
Answer:
The answer is D.5(9a-2b)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
5x9a -5x2b= 45a - 10b
so that is the answer
If you rolled two dice, what is the probability
that you would roll a sum of 12?
Give your answer as a simplified fraction, Enter
the number that belongs in the green box.
second
first
1 2 4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
212,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
44,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Probability is 1/36.
What is probability?The probability is defined as the possibility of an event to happen is equal to the ratio of the number of outcomes and the total number of outcomes.
Two dices were rolled.
Total outcomes in sample space: S = 36
Outcomes which have sum as 12 are E = {(6,6)}
Required Probability: P(E)= 1/36
Hence, Probability is 1/36 of which have sum as 12
Learn more about Probability
https://brainly.com/question/14210034
#SPJ2
Answer:
1/36
Step-by-step explanation:
2x10+3a=59 What is a?
answer is :59/3-2x^10/3
Step-by-step explanation:
It didn't really give a question
Answer:
x=58 degree
Step-by-step explanation:
angle AGF +32 =90 degree (being perpendicular)
angle AGF =90-32
angle AGF =58 degree
angle x =angle AGF (being vertically opposite angles)
x=58 degree
Answer: It is asking for the answer to angle x, which is 68 degrees
help me plzzzzzzzzzzz
Answer:
Top row, third one from left to right
Step-by-step explanation:
Use test points:
when x = 0 , y = 2(0) - 4 = 0 - 4 = -4
(0, -4)
when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x
(2, 0)
Top row, third one from left to right
Two angle in a triangle equal 120°. What is the measure of the third angle?
a) 60°
b) 70°
c) 80°
d) 90°
e) 120°
Answer:
a) 60, because in every triangle, the angles always add up to 180. there are three angles in a triangle, and you k is two add to 120, so of you and 60 to 120 you get 180
A and B are 2 cylinders that are mathematically similar the area of the cross section for cylinder A is 18cm squared. find out the volume of cylinder b
Answer:
Volume of cylinder B = 720 cm³
Step-by-step explanation:
Given:
A and B are similar cylinder
Height of cylinder B = 10 cm
Height of cylinder A = 5 cm
Area of the cross section for cylinder A = 18 cm²
Find:
Volume of cylinder B
Computation:
Area of the cross section for cylinder B = a
So,
(10/5)² = (a/18)
4 = a/18
Area of the cross section for cylinder B = 72 cm²
Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B
Volume of cylinder B = 72 x 10
Volume of cylinder B = 720 cm³
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answer:
The answer is 47
Step-by-step explanation:
pls help me i need help asap 30!! points pls help on all 4 questions
Answer:
b
d
a
d
Step-by-step explanation: