The given expression is equivalent to -
6b + 12 - b 5b + 12What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
6(b + 2) – b
We can write this expression as -
6(b + 2) – b = 6b + 12 - b = 5b + 12
Therefore, the given expression is equivalent to -
6b + 12 - b 5b + 12To solve more questions on algebraic expressions, visit the link below -
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unit 8 right triangles and trigonometry homework 1
Answer:
x = 31.8
Step-by-step explanation:
From the picture attached,
By applying Pythagoras theorem in right ΔADC,
AC² = AD² + CD²
(22)² = AD² + (16)²
AD² = 484 - 256
AD = √228
= 2√57
Now we apply Pythagoras theorem in right ΔADB,
AB² = AD² + DB²
x² = 228 + (44 - 16)²
x² = 228 + 784
x² = 1012
x = √1012
= 31.81
≈ 31.8
The side x is an hypotenuse side to one of the right triangles formed by
altitude of the given triangle that has solid lines.
x is approximately 31.812
Reasons:
The figure shows a triangle with an altitude that forms two triangles inside
the main triangle.
By Pythagoras's theorem, we have;
For the right triangle on the left;
22² = h² + 16²
h² = 22² - 16² = 228
h² = 228
h = √228 = 2·√57
h = 2·√57
In the right triangle to the right, we have;
The length of the top base, b = 44 - 16 = 28
The square of the hypotenuse, x² = h² + b²
∴ x² = 228 + 28² = 1012
x = √(1012) = 2·√253
x = 2·√253 ≈ 31.812
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Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?
Answer:
261.48
Step-by-step explanation:
n
When plotting points on the coordinate plane below, which point would lie on the x-axis?
Answer:
wish to be in this level. But not so. hmmm
Answer:
(6,0)
Step-by-step explanation:
Got it right on Edge 2020:)
GIVING BRAINLIEST IF CORRECT PLEASE ANSWER
Answer:
a) 1/3
b) 7/9
Step-by-step explanation:
A) there are 18 total, 6/18 is 1/3
B) there are 18 total, you add the red and green together to get 14, 14/18 is 7/9
3.55. Постройте график линейной функции:
1) у = 2/3х – 4;
2) y = 2x + 6;
3) у = -1,5х – 3;
4) y = -1/2x + 1;
5) y = 5/3x - 2;
6) y = -4/3x + 2;
Answer:
4) y = -1/2x + 1;
Step-by-step explanation:
maybe
or maybe not
A botanical garden contains several cube-shaped planters. One planter
holds a tree and has a volume of 2 to the power of 7 cubic feet. Another planter holds a
small shrub and has a volume of 2 to the power of 4 cubic feet. How many times larger is the
volume of planter with the tree than the volume of planter with the shrub?
Answer:
hmmmmmmmmmmmmmmmmmmmm
Jan used 10
yards of fabric to make 5 dresses. On average, how
much fabric did she use for each dress?
Answer:
2 yards
Step-by-step explanation:
10 divided by 5 is 2
What is the sum of the polynomials? 8x2-9y2-4x
Answer:
9x^2-12y^2-11x
Step-by-step explanation:
I took the test.
5/3÷7=_____
Answer in a fraction form
PLZ HELP
Answer:
5/21
Step-by-step explanation:
5/3/7=?
so 5/3 *1/7=5/21
so 5/21 is your answer
The ratio of girls to boys in a class is 4 to 1. There are 24 girls in the class. How many students are in the class?
Answer:
a
Step-by-step explanation:
Answer:
The answer is
A ) 30
Step-by-step explanation:
For every 4 girls in the class, there is 1 boy.
24/4 = 6
24 + 6 = 30
I hope this helped you! If it did, please consider rating, pressing thanks, and giving my answer 'Brainliest.' Have a great day! :)
Example of a balance point
a home's loss of heat is equal to heat created in the home or when both sides of a seesaw are at an equal level.
For the triangles to be congruent by SSS, what must be the value of x? 1 3 6 8
Answer:
C
Step-by-step explanation:
6
Answer:
C
Step-by-step explanation:
It gib the funny check mark
Jane needs to solve this equation for x.
2x - 8= 20
Which would be the BEST first step Jane could make to solve the
equation?
A. Add 8 to both sides of the equation
> C. Divide 2x by 2
B. Subtract 8 from the left side of the equation
D. Divide both sides of the equation by 20
Answer:
a
Step-by-step explanation:
because you can't divide by 2 yet
The first step is Add 8 to both sides of the equation
What is equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
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:
2x - 8= 20
Now, first step to solve the equation is
Add 8 on both side
2x- 8 +8 = 20 + 8
2x= 28
and, divide both side by 2
x= 28/2
x= 14
Hence, the first step is Add 8 to both sides of the equation
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which is the simplified form of the expression ((p^2)(q^5))^-4•((p^-4)(q^5))^-2
(p ² q ⁵) ⁻⁴ (p ⁻⁴ q ⁵) ⁻²
= (p ⁻⁸ q ⁻¹⁰) (p ⁻⁸ q ⁻¹⁰)
= p ⁻¹⁶ q ⁻²⁰
George, a musician, works 35 hours in a week. If he earns $18.15 per hour, how much does he earn each week?
Answer:
$635.25
Step-by-step explanation:
He works 35 hours a week, multiply that by $18.15 and you get $635.25.
Is a polynomial function?
Answer:
Yes it is a polynomial function
How are rates ratios and proportions used in careers in the medical field
Answer:
Ratios and Proportions
Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.
Step-by-step explanation:
Answer:
they are used for comparing data
Step-by-step explanation:
even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand
Due within next 5 minutes! Please help!
Mrs. B budgeted $175 per month for gasoline, $100 per month for
maintenance, and $150 per month for insurance. What is her weekly,
monthly, and yearly budget for owning her car?
Answer:
Weekly: $106.25
Monthly: $425
Yearly: $5,100
Step-by-step explanation:
Answer:
Step-by-step explanation:
WEEKS:
$175 divided by 4= 43.75
100 divided by 4= $25
150 divided by 4: $37.5
TOTAL: 106.25
YEARLY:
$175 times 12: $2,100
$100 times 12: $1,200
$150 times 12: $1,800
TOTAL: 5,100
MONTHLY: $425
Help with trigonometry homework
By definition of tangent,
tan(A - π/4) = sin(A - π/4) / cos(A - π/4)
Expand the numerator and denominator using the angle sum identities for sin and cos:
tan(A - π/4) = (sin(A) cos(π/4) - cos(A) sin(π/4)) / (cos(A) cos(π/4) + sin(A) sin(π/4))
Divide through everything on the right by cos(A) cos(π/4):
tan(A - π/4) = (sin(A) / cos(A) - sin(π/4) / cos(π/4)) / (1 + (sin(A) sin(π/4)) / (cos(A) cos(π/4)))
Simplify the sin/cos terms to tan:
tan(A - π/4) = (tan(A) - tan(π/4)) / (1 + tan(A) tan(π/4))
tan(π/4) = 1, so we're left with
tan(A - π/4) = (tan(A) - 1) / (1 + tan(A))
Replace tan(A) with -√15:
tan(A - π/4) = (-√15 - 1) / (1 - √15)
Then the last option is the correct one.
HELP!!!!!!!! ALL MY GRADES DEPEND ON THIS!!! 0.5y/4/9 = y+3/8
Answer:
The answer is y=3, my friend. I hope your grade gets better <3
Step-by-step explanation:
Answer:
The value of y is 3
Step-by-step explanation:
What is the answer to 34.50r+78.50(810-r)
Answer:
-44r+63585
Step-by-step explanation:
Answer:29045 is the answer
Step-by-step explanation:
7) Newton sees 50 frogs in the morning, and 7 fewer frogs in the
afternoon. How many frogs did he see in total?
Answer:
93
Step-by-step explanation:
If nis the larger of two consecutive numbers, write an expression for the other number.
Answer:
n-1
Step-by-step explanation:
Consecutive means that they have a difference of one, so the expression will be n-1.
Answer:
n-1
Step-by-step explanation:
I hope you like the answer!
When Angela turned 10, her parents deposited $5,000 in a college fund for her. When Angela enrolled in college at 18, her account had $6,800 to help pay her expenses. If the account paid simple interest, what was the annual interest rate?
Answer:
4.5%
Step-by-step explanation:
Answer:
4.5%
Step-by-step explanation:
Which division problem would have an estimated quotient of 15 if the divisor and dividend were rounded to the nearest whole number?
90.24 divided by 6.3
79.85 divided by 3.99
85.01 divided by 16.77
59.87 divided by 10.21
Answer:
A. 90.24 divided by 6.3
Step-by-step explanation:
We take each option one by one and solve for it
A. 90.24 divided by 6.3
Divisor = 90.24
Dividend = 6.3
if the divisor and dividend were rounded to the nearest whole number?
= 90÷ 6
= 15
Answer:
A, I got it right on edge.
Step-by-step explanation:
i will give lots of points and brainly please help asap What is the equation of the quadratic of the quadratic graph with a focus of (1,3) and a directex of y= 1 show your work please
check the picture below.
now, we know the directrix is at y = 1, and the focus point is at 1,3, well, notice the picture, the distance between those fellows is just 2 units.
the vertex is half-way between those fellows, therefore, the vertex will be at 1,2.
the distance "p", from the vertex to either the directrix or focus, is really just 1 unit. Since the focus point is above the directrix, is a vertical parabola, and it opens upwards, like in the picture, and since it opens up, the "p" value is positive, or +1.
2) What is the distance between -5 and -3?
Answer:
2
Step-by-step explanation:
-5 - (-3)
-5 plus 3
|-2|
2
3^x×3^y=1
2^(2x-y)-64=0
Answer:
Step-by-step explanation:
HERE
:)
what is the y intercept of y= -1/2x +3
Hurryplz!
Answer:
Y-intercept is 3
Step-by-step explanation:
Remember y=mx+b
b is the y-intercept
mx is the slope
I WILL MARK BRAINIEST
It showstopper answers I got wrong so please answer correctly and don’t give me answers I already put thanks
B) Side length of B to side length of C is 4:5.
Perimeter of C is 280, so let's put that into the side length of C's place:
4:280
But the 4 also would have to change so let's figure out how much we multiplied 5 by to get 280:
280 / 5 = 56
So let's do 4 x 56 = 224
Our new ratio is 224:280
Therefore the perimeter of mirror B is 224cm.
C) Side length of A to side length of B is 3:4.
We know the perimeter of B from the previous part (224) so let's put that in the 4s place:
3:224
But we also have to change 3, so let's figure out how much we multiplied 4 by to get 224:
224 / 4 = 56
Therefore to determine A's perimeter we do 3 x 56 = 168.
Mirror A's perimeter is 168cm.
D) The side length of mirror A is the perimeter divided by 4 (as they are squares).
168 / 4 = 42. Side length of mirror A is 42cm.
E) Area of a square is side length squared, so the area of mirror A is 42².
42² = 1,764cm².