how do i answer this please?
Answer:
a) [tex]5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]4(\sqrt{2} + \sqrt{7})[/tex]
Step-by-step explanation:
a) [tex]9\sqrt{3} - 4\sqrt{3} +\sqrt{5} + 2\sqrt{5}[/tex]
Taking √3 & √5 common respectively,
[tex]=> \sqrt{3} (9 - 4) + \sqrt{5} (1 + 2)[/tex]
[tex]=> 5\sqrt{3} + 3\sqrt{5}[/tex]
b) [tex]10\sqrt{2} + 4\sqrt{7} - 6\sqrt{2}[/tex]
Taking √2 common ,
[tex]=> \sqrt{2} (10-6) + 4\sqrt{7}[/tex]
[tex]=> 4\sqrt{2} + 4\sqrt{7}[/tex]
Taking 4 common ,
[tex]=> 4(\sqrt{2} + \sqrt{7})[/tex]
1. A baseball coach graphs some data and finds the line of
best fit. The equation for the line of best fit is
y=0.32x - 20.51, where x is the number of times at bat and
y is the number of hits.
How many hits should he expect from a player who is at bat
175 times?
A) 35 hits
B) 49 hits
C) 609 hits
D) 62 hits
A
B
D
Please help!!
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses
b. 2x - 7 and the opposite of 2x
Answer :
Sum = 2x-7 + (-2x) and equivalent expression = -7
Step-by-step explanation:
First number is (2x-7) and other number is opposite of 2x i.e. (-2x).
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Removing parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
find the value of sin 0 in each of the following figures.
Answer:
sinθ = [tex]\frac{8}{10}[/tex]
Step-by-step explanation:
sinθ = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{8}{10}[/tex]
Answer:
sin theta=p/h
=BC/AC
=8cm/10cm
=4cm/5cm
Hope it helps you.
PLEASE HELP!!!
Which algebraic expression is a polynomial with a degree of 3?
A) 4x3 – StartFraction 2 Over x EndFraction
B) 2y3 + 5y2 – 5y
C) 3y3 – StartRoot 4 y EndRoot
D) –xyStartRoot 6 EndRoot
Answer: B. 2y3 + 5y2 – 5y
Step-by-step explanation: From the expression 2y3 + 5y2 – 5y, the highest degree of the polynomial is 3. Hence, 2y3 + 5y2 – 5y is a polynomial with a degree of 3.
Answer:
the person on top is right its B
Step-by-step explanation:
but i got it because the assignment on edge said it's right
Leah is purchasing a condominium and is financing $515,000 with a 20-year 5/1 ARM at 5.25% with a 1/12 cap structure. What will her payments be at the beginning of year 6? (3 points) a $3155.38 b $3701.45 c $3470.30 d $2908.95
Answer:
$3701.45. I hope this helps :)
Step-by-step explanation:
Identify the number of solutions for the equation below:
What is the opposite of -1/2
Answer: 1/2
Step-by-step explanation:
Just remove the negative
1.Evaluate: 144/16
2.Evaluate: 13.5 x 17
PLSSSS HELP
Answer:
1. 144 : 16 = 9
2. 13.5 x 17 = 229.5
Given f(x) = -2 and g(x) = 5x - 6, find h(x) = f(x) ⋅ g(x)
h(x) = _____ x _____ _____
Answer:
10x+12 is the answer in my calculation.
how do i work this out please?
Answer:
[tex]5 \sqrt{5} - 2 \sqrt{5} = 3 \sqrt{5} \\ 8 \sqrt{7} + 3 \sqrt{7} = 11 \sqrt{7} [/tex]
hope this helps.
Answer:
[tex]11 \sqrt{7} [/tex]
Step-by-step explanation:
[tex]8 \sqrt{7} + 3 \sqrt{7} [/tex]
[tex] \sqrt{7} (8 + 3) [/tex]
[tex]11 \sqrt{7} [/tex]
PLEASE HELP
Given the roots or x-intercepts -2 and 3, when expanded, the quadratic equation is:
Answer:
you're correct! the answer is c
Step-by-step explanation:
the factors would be (x+2)(x-3) and when you solve that you get c
Answer:
6
Step-by-step explanation:
-2/100 x x/3
The graph of a proportional relationship is given along with an
equation for a different relationship. Which situation has a greater
unit rate?
Answer:
i thnk its a...but i could be wrong..
Step-by-step explanation:
Answer:
The answer should be B cuz it's different relationship
Step-by-step explanation:
Please help me with Math and show how you got the answer.
Answer:
Step-by-step explanation:
2.5:3.5 = 1:1.4
1 3/4 : 2 11/12 = 1:5/3
5/3 > 1.4 so megan gets more cookies
so kaitlyn uses more
Write 54.039 in word form
Answer:
54.039 in word form is: fifty-four and thirty-nine thousandths.
Step-by-step explanation:
The word "thousandth" represents the order of an element in a set that occupies the position equivalent to the number thousand. In this case, the symbol "." Between the numbers shows us that there is a number in the position equivalent to the number thousand, so we must add the word "thousandth" when the number shown in the question needs to be written in word form. Thus, we can conclude that the correct way to write 54,039 in word form is "Fifty-four and thirty-nine thousandths."
What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?
The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
It is given that a point (6,-2) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (6,-2) is rotated 90° counterclockwise about origin.
Let's assume (6,-2) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
(6 , -2) = (-2,6)
So ;
The new point will be ;
= (-2 , 6)
Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
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For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
sidh is making fruit salad. His recipe calls for pound of watermelon. He wants
to make of the amount of fruit salad in the recipe. How much watermelon
does Sidh need?
more than pound
less than 2 pound
exactly 1 pound
exactly pound
My Progress >
Answer:
it will be 3/4
Find a solution to y=4x+2 if x=-1
Answer:
necesito más información
Answer:
(-1,-2)
Step-by-step explanation:
Solving One Step Equations. SHOW YOUR WORK
14b = -56 solve for b
Answer:
b=-4
Step-by-step explanation:
basically divide both sides by 14 which equal -4
The solution to the equation 14b = -56 is b = -4.
To solve the equation 14b = -56 for b, we can divide both sides of the equation by 14 to isolate the variable b.
14b ÷ 14 = -56 ÷ 14
Simplifying:
b = -56 ÷ 14
b = -4
Therefore, the solution to the equation 14b = -56 is b = -4.
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if cube has total surface area 150cm sweet, find the volume of the cube
Answer:
i edgggg g t g h tr fe erfg bh hnhy r hrh r r t hth
Step-by-step explanation:
125 cm ans
may be it is helpful
Answer these 2 Questions for 10 points
1) Find the slope of the line that passes through these two points:
(13, 1) and (1, 10)
2) Find the slope of the line that passes through these two points:
(14,-14) and (10,-14)
Can someone please help me? I need to get 10 of these right and I don’t understand them
9514 1404 393
Answer:
(x, y) = (1, 1)
Step-by-step explanation:
About Algebra
All of Algebra is based on a few simple rules:
adding 0 doesn't change anythingmultiplying by 1 doesn't change anythingdoing the same thing to both sides of an equation doesn't change the values of the variablesanything can be substituted for its equalWhen we solve equations by substitution, we make use of these facts.
__
About Substitution
Generally, substitution in equation solving is done for the purpose of eliminating a variable from the equation. That usually means you want to write an expression for one variable in terms of other variables.
Finding the Expression to Substitute
In this set of equations, the variables are x and y. We can substitute for y an expression involving x, or we can substitute for x an expression involving y. These equations are written in such a way that either method works as well as the other.
Let's choose to substitute for y. This means we need an equation of the form ...
y = <some expression involving x>
The first equation makes it easy to get that. If we add y (to both sides, see rule 3 above), we get ...
5x -y +y = 4 +y
5x = 4 + y . . . . . . . . . simplified
Subtracting 4 (from both sides) gets us the form we want.
5x -4 = 4 -4 + y
5x -4 = y . . . . . . by rule 4 above, we can use (5x-4) anyplace you see y
Using the Expression to Substitute
Now, we have an expression for y that we can use in the second equation. There, y is multiplied by 4, so we need to be sure to multiply the whole expression by 4:
-x + 4(5x -4) = 3 . . . . . . substituted for y in the second equation
-x +20x -16 = 3 . . . . . use the distributive property to eliminate parentheses
19x -16 = 3 . . . . . . collect terms
This has a constant (-16) where we don't want it, so we can add 16 (to both sides) to get rid of it.
19x -16 +16 = 3 +16
19x = 19 . . . . simplify
Now, we can divide by 19 (to both sides) to get x by itself.
(19x)/19 = 19/19
x = 1 . . . . almost done; we still need to find y
Finishing Up
Using the equation for y that we used for substitution, we can find y from our value of x.
y = 5x -4 = 5×1 -4 = 5-4
y = 1
So, the solution is x = 1, y = 1, or (x, y) = (1, 1).
_____
Additional comment
In this set of equations, both variables (x and y) appear with coefficients of 1 (actually, -1). This makes it easy to solve for an expression that can be substituted for the variable. In systems of equations that you want to solve by substitution, it usually works well to start by looking for a variable with a coefficient of 1 (or -1). Use that to write the substitution expression as we did here.
__
Alternate Solution
If you use a variable with a coefficient other than 1 to write the substitution expression, you end up with fractions. That's OK if you're comfortable with arithmetic using fractions. It generally requires more care.
For example, we could solve the first equation for x:
x = (4 +y)/5
Substituting that into the second equation gives ...
-(4 +y)/5 +4y = 3
-4/5 -y/5 +4y = 3
(3 4/5)y = 3 4/5 . . . . . add 4/5 (to both sides), collect terms
Now, you get to divide by 3 4/5 to get ...
y = (3 4/5)/(3 4/5) = 1
Fortunately, in this case, we can see the numerator and denominator are identical, so the division result is 1. If it weren't you'd be faced with dividing mixed numbers--not always a student's first choice of fun math operations.
x = (4 +1)/5 = 1 . . . . finishing up
Need help with this question!
A stake is to be driven into the ground 38 feet from the base of a pole, as shown in the diagram below. A wire from the stake on the ground to the top of the pole is to be installed at an angle of elevation of 52º. What will be the length of the wire from the stake to the top of the pole, to the nearest hundredth of a foot.
Answer:
you have to do 52 divided by cos of 38 to get the answer of 65.99ft
8h + (-6.7d) - 15+ 4d-2.6h.
Answer:
5.4h-2.7d-15
Step-by-step explanation:
8h minus 6.7d minus 15 plus 4d minus 2.6h
using the knowledge or principle of algebra
5.4h minus 2.7d minus 15
PLEASE HELP ASAP I REALLY NEED IT
Answer:
81
Step-by-step explanation:
8^2 + 2 * 8 + 1
= 64 + 16 + 1
= 80 + 1
= 81
need a quick answer please
please solvee :))
5/24 × 69
Answer:14.37500
Step-by-step explanation:
Answer:
14.375
Step-by-step explanation:
A cyclist travels 4miles in 15 minutes. What is her average speed in mph?
Answer:
5
Step-by-step explanation:
Hence, the average speed to the cyclist is 16mph.
What is speed?Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
How to solve?We know,
distance covered = 4 miles
time taken = 15 minutes = [tex]\frac{1}{4}[/tex]hours
speed = [tex]\frac{4}{\frac{1}{4} }[/tex] = 16
Hence, speed is 16.
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The sum of all the solutions of the equation: (10x − 3a )(3x + 39)(5x − 3) = 0 is (
− 1).
Find a.
Please help!!
2627828818182-718818288281-288181991_2792901=72892992
Answer:
[tex](10x - 3a)(3x + 39)(5x - 3) = 0 \\ dealing \: with \: (10x - 3a) \: and \: (5x - 3) \\ (10x - 3a)(5x - 3) = 0 \\ 50 {x}^{2} - (30 + 15a)x + 9a = 0 \\ sum \: of \: the \: equation \: = (30 + 15a) = - 1 \\ 15a = - 31 \\ a = - \frac{31}{15} [/tex]