⇛2√3.
Step-by-step explanation:
Given,
6/√3
The denominator is √3.
We know that
The rationalising factor of √a is √a. To rationalise the denominator of 6√√3, we multiply this by √3/√3.
⇛(6/√3)×(√3/√3)
⇛(6√3)/(√3)²
⇛(6√3)/(√3*3)
⇛(6√3)/3
⇛2√3
Hence, the denominator is rationalised.
The expression equals ___ ?
f(x)=√8+2
Find the range
Answer:
what does f or x mean
Step-by-step explanation:
Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what distance will she cover?
Answer: 80 miles
Step-by-step explanation:
10mph + 30mph = 40 mph
Distance = Speed × time
D = 40m/h × 2 h
D = 80 m
help!!!!!!!!!!!!!!!!!
Answer:D
Step-by-step explanation:s aThe function is always increasing because wether the value of x increases or decreases, the value of f(x) is increasing as well
Which equation represents a proportional relationship
Answer: B y=100/x
Step-by-step explanation:
Evaluating functions please help :)
Answer:
-28
Step-by-step explanation:
In order to find h(-6) plug in -6 for any "x" in the equation.
So the equation will be h(-6)=5(-6)+2
I just plugged this into my calculator
Hope this is correct and helps! :)
Help needed ASAP will give you BRAINLIEST and 5 stars rate :)
Answer:
The bicyclist is travelling at a rate of 20 km/h.
Step-by-step explanation:
When you plug the numbers into the formula (y2-y1/x2-x1=m) you get 20 km/h.
The slope of a vertical line is....?
a) undefined
b) not enough information given
c) horizontal
d) 0
What is the slope of the line through (-9,6) and (-6, -9)?
Choose 1 answer:
1/5
5
-5
-1/5
I hate algebra
Choose a justification for each step in the derivation of the sine difference identity.
Answer:
Step-by-step explanation:
The missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even and sine function is odd respectively.
Given:
The given expression is [tex]\sin (x-y)[/tex].
To find:
The justification for each step.
Explanation:
Cofunction identities:
[tex]\sin\left(\dfrac{\pi}{2}-x\right)=\cos x[/tex]
[tex]\cos\left(\dfrac{\pi}{2}-x\right)=\sin x[/tex]
Cosine difference identity:
[tex]\cos(x-y)=\cos x\cos y+\sin x\sin y[/tex]
Cosine function is even, so [tex]\cos(-x)=\cos x[/tex].
Sine function is odd, so [tex]\sin(-x)=-\sin x[/tex].
We have,
[tex]\sin (x-y)[/tex]
[tex]=\cos\left|\dfrac{\pi}{2}-(x-y)\right|[/tex] Step 1: Cofunction identity
[tex]=\cos\left|\dfrac{\pi}{2}-x+y\right|[/tex] Step 2: Distributive property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)+y\right|[/tex] Step 3: Associative property
[tex]=\cos\left|\left(\dfrac{\pi}{2}-x\right)-(-y)\right|[/tex] Step 4: Factoring out
[tex]=\cos\left(\dfrac{\pi}{2}-x\right)\cos(-y)+\sin\left(\dfrac{\pi}{2}-x\right)\sin(-y)[/tex] Step 5: Cosine difference identity
[tex]=\sin(x)\cos(-y)+\cos(x)\sin(-y)[/tex] Step 6: Cofunction identity
[tex]=\sin(x)\cos(y)-\cos(x)\sin(y)[/tex] Step 7: Cosine function is even, sine function is odd
Therefore, the missing reasons are Cofunction identity, Cosine difference identity, Cofunction identity, Cosine function is even, sine function is odd respectively.
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10. A student solves the following problem:
Problem:
2 (x-3) + 3x = 19
2x - 6 + 3x = 19
(2x + 3x) - 6 = 19
5x - 6 - 19
Step 1
Step 2
Step 3
Step 4
Step 5
Step 6
5x - 6+ 6 = 19+ 6
5x = 25
X = 5
What property justifies step 4?
a. Commutative Property of Addition
c. Multiplication Property of Equality
b. Addition Property of Equality
d. Substitution
Answer:
Step-by-step explanation:
A.
Option A is correct. The property that justifies step 4 based on the calculation is the Commutative property of addition.
Equations are expressions separated by an equal sign.
Given the equation:
2(x-3) + 3x = 19
Expand the parenthesis using the distributive law
2x - 2(3) + 3x = 19
2x - 6 + 3x = 19
Collect the like terms
2x + 3x -6 = 19
Step 4
Since 2x+3x = 3x+2x = 5x (according to the commutative law), the expression becomes:
5x-6 = 19
Step 5
Add 6 to both sides
5x-6+6 = 19+6
5x = 25
x = 25/5
x = 5
Hence the property that justifies step 4 based on the calculation is the Commutative property of addition.
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I am thinking of a slope equivalent to 1/4→ What are two points from the line? List your coordinate pairs below.
→ Prove that the slope equals 1/4.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Mathematics
the points or conditions for the slope to be 1/4 are as
1.) (-2,2) ,(2.3)
2.) (-4,4),(4,6)
Which of the following expressions cannot be simplified?
A) √24
B) √32
C) √27
D) √38
Answer:
C
Step-by-step explanation:
Answer:
The answer is c
Step-by-step explanation:
QUICK HELP ME 25 POINTS The formula for perimeter of a rectangle is given by: P=2l+2w Rearrange the formula to solve for l
HELP PLZ
Answer:
l = [tex]\frac{P - 2w}{2}[/tex]
Step-by-step explanation:
2l + 2w = P
2l = P - 2w
l = [tex]\frac{P - 2w}{2}[/tex]
Alex rents a car for one day. The charge is $18
plus $0.12 per mile. Alex wants to spend exactly
$30. How many miles can he drive?
Answer:
100
Step-by-step explanation:
30 - 18 = 12
12 / .12 = 100
plz mark brainliest if helpful
Miles that alex can drive is 100
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
The calculation is as follows;
Number of days alex rents a car = 1 day
The charge for the car = $18 plus $0.12 per mile
Alex wants to spend; $30
The number of miles he will drive can be calculated as follows
= $30 - $18
= $12
= 12÷0.12
= 100
Therefore, if Alex spends $30 he will drive for 100 miles
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(3.9 x 10^-3) + .0026 in scientific notation
The value of (3.9 × 10⁻³) + 0.0026 in scientific notation is 6.5 × 10⁻³.
What is Decimals numbers?Decimal numbers are numbers which has basically a whole number part and a fractional or decimal part after a point called decimal point.
Decimal number system describes the base 10 number system.
Given are numbers 3.9 × 10⁻³ and 0.0026 added together.
We have to do it in scientific notation.
0.0026 can be written as 2.6 × 10⁻³.
Adding these two numbers together, and taking the common term,
(3.9 × 10⁻³) + (2.6 × 10⁻³) = (10⁻³) (3.9 + 2.6)
= (10⁻³) (6.5)
= 6.5 × 10⁻³
Hence the answer of the sum of (3.9 × 10⁻³) + 0.0026 is 6.5 × 10⁻³ in scientific notation.
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A statistics teacher was interested in the relationship between you and the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used to
obtain the regression equation = -3.64x + 96.5, where x represents the number of procrastination days and 9 is the
predicted grade. What is the predicted grade of a student who procrastinated for 2 days?
0 25.96
0 85.58
O 89.22
0 103.78
Answer:
C. 89.22
Step-by-step explanation:
hope it helps!
edge 2020
if 1 cm represents 35 miles what is 1.25 cm in miles?
Answer:
43.75 miles
Step-by-step explanation:
You divide the 35 by 4 and then just add it to the original distance of 35 miles. 35/4=8.75
8.75+35=43.75
what is the measure of the following angle?
AOD
Answer:
it's 80.
Step-by-step explanation:
120-40= 80
....
Answer: 80
Step-by-step explanation:
hope this helps
Find the midpoint of AB if A(-3. 8) and B(-7. -6)
The midpoint of AB is (-5, 1).
To find the midpoint of a line segment AB, we average the x-coordinates of the two endpoints and the y-coordinates of the two endpoints.
Given that A has coordinates (-3, 8) and B has coordinates (-7, -6), we calculate the midpoint as follows:
x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2
= (-3 + -7) / 2
= -10 / 2
= -5
y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2
= (8 + -6) / 2
= 2 / 2
= 1
Therefore, the midpoint of AB is (-5, 1), where -5 is the x-coordinate and 1 is the y-coordinate. This means that the midpoint is equidistant from points A and B, dividing the line segment AB into two equal parts.
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I need the answer ASAP
Answer:
i just did this in class a week ago and i think it was option c
Step-by-step explanation:
Solve the equation x2 + + 7x= 30
O A. x= 15 and x= -2
0 B x=-6 and x = 5
0 C x= -10 and x= 3
O D. x= 10 and x= -3
Answer:
x^2+7x=30
x^2+7x-30=0
Here a=1,b=7 and c=-30
Now,
Discriminant(D)=b^2-4ac
=7^2-4×1×(-30)
=49+120=169
By applying Quadratic formula
x=-b+- root over b^2-4ac÷2a
=-7+- root over D ÷ 2×1
=-7 +- root over 169 ÷2
=-7 +- 13 ÷2
Now,
Either x=-7+13÷2=6÷2=3
Or x=-7 -13 ÷2=-20÷2=-10
Hence, ans is (C) x=-10 and x=3
Cayenne bought 20 pencils for 1.60 dollars at that rate how much would 35 pencils cost
Please help if you can. And please explain
Answer: Choice B) 0.63
==============================================
Work Shown:
1.1 is 174% of what number
1.1 = 174% of what number
1.1 = 174% of x
1.1 = 1.74*x
1.74x = 1.1
x = 1.1/1.74
x = 0.632183908045977 which is approximate
x = 0.63
A basketball player attempted 15 field goals. He scored on 40 percent of his attempts. How many field goals did the player score? NEED HELP BADLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! 10/21/2020
Answer:
He scored 6 field goals out of 15
Step-by-step explanation:
40% converted into a decimal is 0.4. "Of" means multiply. So you do 15 times 0.4 and get 6.
Please help I’ll give brainiest!!
Answer:
-1
Step-by-step explanation:
Which algebraic expression is equivalent to the expression below? (2x + 14) + (8x - 5) *
10x + 19
16x - 3
24x - 5
10x + 9
Given the points (2,4),(-2,6),(1,3), and (0,3), categorize the domain and range.
Domain
Range
No Answers Chosen
ING
1
Possible answers:
2
3
All real numbers
-2
0
4
6
2
3
4
Answer: range: 3, domain: 4
Step-by-step explanation:
the range of a problem is basically the difference between the smallest and the largest y value. the largest y value here is 6 and the smallest is 3, so 6-3 = 3 -> 3 is your range! now for domain: the domain of a problem is the difference between the smallest and largest x value. the largest x value is 2 and the smallest is -2, so 2 - -2 = 4 -> the domain is 4! hope this helped!
8x-4 can you guys help me solve for x
Answer:-32
Step-by-step explanation:
8x4=32 add a negative sign
send help please lol i need help
Answer:
The answer is B
Step-by-step explanation:
The equation equals 2970 and the answer B also equals 2970.