Answers:
Coefficient of the 'a' term: -12Constant term: 32===================================================
Work Shown:
Let's isolate x^2
a = x^2 + 4
x^2 + 4 = a
x^2 = a - 4
----------
Then we'll apply substitution
(x^2+4)^2 + 32 = 12x^2 + 48
a^2 + 32 = 12x^2 + 48 ........... replace x^2+4 with 'a'
a^2 + 32 = 12(a-4) + 48 ......... replace x^2 with a-4
a^2 + 32 = 12a-48+48 ....... distribute
a^2 + 32 = 12a
a^2 + 32 - 12a = 0
a^2 - 12a + 32 = 0
The last equation is in standard form.
The coefficient of the 'a' term is -12 since it is the number to the left of the 'a'. We don't focus on a^2 here.
The constant term is the term without any variable attached, so the constant is 32.
In circle F, the measure of ∠AFE is equal to 120° and the measure of arc BD is equal to 20°.
What is the measure of ∠C?
100°
40°
60°
50°
Answer:
40
Step-by-step explanation:
AFE=120 so arc AE is also 120
those 3 angles add up to 180 and 180-120-20=40
The measure of ∠C is 40°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Angle measure of central angle is equals to measure of intercepted arc.
External angle formed outside a circle,
= Half the difference of the major and minor arc =
Angle measure of AFE
= arc AE = 120°
Thus:
m∠C = 1/2(120 - 40)
m∠C = 40°
So, the angle measure of C is 40°
Therefore, 40° is the measure of ∠C.
To learn more about the angle measure;
brainly.com/question/14684647
#SPJ6
Find the length of the missing side. 61 in. 60 in. The length of the missing side is?
Step-by-step explanation:
From pythagoras triple
11, 60, 61
the missing side is 11 in.
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend.
a.$1.75 + $0.25x ≤ $15
b.$1.75 + $0.25x ≥ $15
c.$0.25 + $1.75x ≤ $15
d. $0.25 + $1.75x ≥ $15
Answer:
a
Step-by-step explanation
$1.75 + $0.25x ≤ $15
Does anyone know how to solve this? You need to solve for x to I’m so lost
Answer:
x = 54
Step-by-step explanation:
If the given triangles ΔTUV and ΔMLK,
Their corresponding sides will be in the same proportion.
Therefore, proportional relation will be,
[tex]\frac{x}{117}=\frac{60}{130}[/tex]
x = [tex]\frac{60\times 117}{130}[/tex]
= [tex]\frac{7020}{130}[/tex]
= 54
Therefore, length of the side having measure x is 54 units.
WILL MARK BRAINLIEST AND 15 POINTS
Answer:
x = 4
Step-by-step explanation:
You may want to make everything into the same fraction to make the math easier. Because x/4 is the smallest fraction, make all of the other numbers with x match it.
3x = 12x/4, x/2 = 2x/4.
Now, 12x/4 - x/4 = 11x/4.
11x/4 + 9 = 1 - 2x/4 - 5. Now add x to one side to solve x.
13x/4 +9 = 1 - 5
13x/4 + 9 = -4
13x/4 = -13 (multiply by four on each side)
13x = -52
x = 4
Answer: x=-4
Step-by-step explanation:
Which expression describes the difference if 5x² + 2x is subtracted from 3x^2 – 4x?
Answer:
I think D
Step-by-step explanation:
But hopes it helps
Can someone plz help me with 4 a and b plz
The perimeter of a rectangular garden is 78 feet. the width is six feet less than twice the length. Find the length and width of the garden.
Answer:
L=7.94 feet, W=9.88 feet
Step-by-step explanation:
perimeter=78 feet
LxW=78
2L-6=W
substitute
Lx(2L-6)=78
2L^2-6L=78
2L^2-6L-78=0
factor
(2L-15.86)(L+4.95)=0
2L=15.88, L=7.94
L=-7.94 feet
A pool has a length of x - 5 and a width of x + 3. What is the area of the pool?
Answer:
Area or Volume?
Step-by-step explanation:
8a-6/2a-3 what is the equivalent to
Answer: 22a9
Step-by-step explanation:
What are the zeros of the function?
what number line correctly shows -3 - 1.5?
Answer:
Option A
Step-by-step explanation:
Take the quiz and it right
Answer:
Option A so the first one
Step-by-step explanation:
hope it help
How many 1/2s are in 3 1/2?
Answer:
7
Step-by-step explanation:
÷
5x-(x+3)=1/3(9x18)-5
Answer:
13
Step-by-step explanation:
Simplify both sides of the equation.
(Combine Like Terms)
Step 2: Add 3 to both sides.
4x−3+3=49+3
4x=52
Step 3: Divide both sides by 4.
Answer:
Exact Form: x ≈ − 1 2 , 1.04081022
Decimal Form: x ≈ − 0.5 , 1.04081022
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Find two consecutive integers whose sum is 45. List the numbers from smallest to largest separating them with a comma (6, 7).
Answer:
(22, 23)
Step-by-step explanation:
x + ( x + 1) = 45
2x + 1 = 45
2x = 45 - 1
2x = 44
x = 44 ÷ 2
x = 22
22, 23
PLS HELP ILL GIVE YOU BRAINLEIEST
Answer:
Step-by-step explanation:
First you have to drag the tiles to the box and the box will be helpful as long as you do it correcly
This a huge hint for you
so I really hope this helps you for now until I figer the anwers out
Thanks for the pacieant (sorry for the incorrect word)
PLS HELP ME!!! How much pure alcohol must a nurse add to 10 cm3 of a 60% alcohol solution to strengthen it to a 90% solution?
Answer:
30cm3
Step-by-step explanation:
she already has: 60%:10
pure ones: 100%:x
need:90%:10+x
so u can get this eq:
6+x=9+0.9
0.1x=3
x=30
A baker makes 84 loaves of bread, she burns 4. What fraction of the loaves does the burn? Simplify your answer.
Answer:
1/21
Step-by-step explanation:
The baker makes 84 loaves of bread,
Out of the 84 bread, 4 of them got burn.
Fraction that the loaves does the burn will be expressed in 4/84 = 1/21.
What do you do to find how many inches equal to 1/2 yard?
Answer:
18
Step-by-step explanation:
36 inches is in 1 yard, so if you divde that by 2 you get ur answer which is 18!
hope this helpped
What is the ratio for crayons to erasers?
Answer:
8:4 simplified to 4:2 simplified to 2:1
Step-by-step explanation:
Using a number that can be divided into both the numerator and denominator, find an equivalent fraction for this fraction. 4/6 answers 1/2 or 2/3 or 1/3 if u put a random i will report you thanks
Given:
The fraction is [tex]\dfrac{4}{6}[/tex].
To find:
The equivalent fraction.
Solution:
We have,
[tex]\dfrac{4}{6}[/tex]
Here, the numerator is 4 and denominator is 6. Both are even numbers, so they can be divisible by 2.
Divide numerator and denominator by 2.
[tex]\dfrac{4}{6}=\dfrac{\dfrac{4}{2}}{\dfrac{6}{2}}[/tex]
[tex]\dfrac{4}{6}=\dfrac{2}{3}[/tex]
[tex]\dfrac{4}{6}\equiv \dfrac{2}{3}[/tex]
So, the given fraction is equivalent to [tex]\dfrac{2}{3}[/tex].
Therefore, the correct option is B.
Anyone !
It takes me forever:(
Maths
Answer:
12
Step-by-step explanation:
area of a rectangle is equal to one side multipyed by the other one
here we have an area and one side so only thing we have to do is divide area by the side we have and we will get the other side (lenght)
:)
Rewrite the following equation in slope-intercept form.
6x + 13y = -10
Answer:
y= -6x/13 -10/13
Step-by-step explanation:
first you'll subtract 6x from both sides
6x+13y=-10
-6x . -6x
13y=-6x-10
then you divide by 13 to get y by itself
y= -6x/13 -10/13
Answer:
y = -6/13х - 10/13
Step-by-step explanation:
6x +13y = -10
Subtract 6x from both sides to isolate y:
13y = -6x - 10
Divide both sides by 13:
y = -6x/13 - 10/13
Calculate the value of C in the triangle below
Answer:
c = 82 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
c² = 18² + 80² = 324 + 6400 = 6724 ( take the square root of both sides )
c = [tex]\sqrt{6724}[/tex] = 82
True or False: No matter which factors you start with, you will always end up with the same numbers in the end using prime factorization?
Answer:
True
Step-by-step explanation:
In Prime factorization, we are expected to obtain factors that are prime numbers that can multiply themselves to give the original number. So long as the first factor can divide the number without a remainder, other remaining factors can be multiplied together to give the original number.
Prime factorization of the number, 15 goes thus;
15/3=5
5/5=1
3*5=15
So, all the factors multiply to give the original number.
PLSSS HELLP!!!
5. My parents took me to Johns Incredible Pizza for my 16th birthday. The bill for just the food is $55.25. If video games cost $.25 each, how many games can I play for the total money spent to be exactly $100? *
.25x+100=55.25
55.25x+.25=100
55.25+.25x=100
100+55.25x=.25
The daily profit, P, of a local bakery can be calculated using the formula P=m-(250+4h) when employees work a total of h hours and the bakery receives m dollars. Write an equation to the calculate the amount of money, m, the bakery should receive if the desired profit is $415.
Answer:
[tex]m=665+4h[/tex]
Step-by-step explanation:
Profits of the local bakery is given by
[tex]P=m-(250+4h)[/tex]
where
m = Amount of money to be received
P = Profit
h = Number of hours worked
Now P = $415
So,
[tex]P+(250+4h)=m\\\Rightarrow m=P+250+4h\\\Rightarrow m=415+250+4h\\\Rightarrow m=665+4h[/tex]
The equation to calculate the amount of money, m, the bakery should receive if the desired profit is $415 is [tex]m=665+4h[/tex].
please help i’ll give brainliest
proportional relationships help pls
Answer:
Propotional Means corresponding in size, degree, or intensity. b : having the same or a constant ratio corresponding sides of similar triangles are proportional.
Find the solution set of the inequality: -3x + 8 < 15−3x+8<15minus, 3, x, plus, 8, is less than, 15 x
Answer:
The solution to the inequality is;
x > -7/3
Step-by-step explanation:
We want to find the solution to the inequality;
-3x + 8 < 15
We can have this as;
-3x < 15-8
-3x < 7
x > -7/3
Answer:
x>-7/3
Step-by-step explanation: