Answer:
10 units
Step-by-step explanation:
[tex]\boxed{distance = \sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }}[/tex]
Using the distance formula above,
distance between the 2 points
[tex] = \sqrt{[0 - ( - 8)]^{2} + (7 - 1)^{2} } \\ = \sqrt{(0 + 8)^{2} + 6^{2} } \\ = \sqrt{ {8}^{2} + 36} \\ = \sqrt{64 + 36} \\ = \sqrt{100} \\ = 10 \: units[/tex]
i’m taking a test
hello
f r eee e e e
poI nT s
my last account got B A N N E D
Answer:
yayz fwee pwoints thwank ywuo
Step-by-step explanation:
Question 2 of 5 Consider the polynomials given below. P(x) = 11x5 + 9x4 – 4x3 – 7x2 + 5 Q(x) = (2x2 + 1)(4x2– 3) Determine the operation that results in the simplified expression below. 11x5 + x4 – 4x3 – 5x2 + 8 PQ
Q-P
P+Q
P-Q
Answer: p-q
Step-by-step explanation:
Answer: P-Q is correct
Step-by-step explanation:
Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Answer:
10
Step-by-step explanation:
This is the answer because:
1) First, insert all the numbers into the expression
Expression: I -2(2) + -3(2) I
2) Next, do -2 x 2 and -3 x 2
-2 x 2 = -4
-3 x 2 = -6
3) Then, do -4 + -6
-4 + -6 = -10
4) Finally, the absolute value of -10 is 10
Therefore the answer is 10
Hope this helps!
2a + 6
what is the verbal expression for this is expression
Answer:
The sum of two times a number and six.
or
Two times a number plus six.
Step-by-step explanation:
Step 1: Convert 2a into words
2a = two times a number
Step 2: Convert + 6
+ 6 = the sum of 6 or plus 6
Step 3: Combine to make sentence
The sum of two times a number and six.
Two times a number plus six.
Please answer these with lots of detail. I want to be able to understand the topic and material well.
Step-by-step explanation:
Q3
(a) If 0 < |x − 1| < δ, then |f(x) − 2| < 2
What this means is, how far can x stray from the x=1 line such that f(x) stays within 2 units of the y=2 line (0 < f(x) < 4).
If we move 2 units left of x=1, we get f(x) = 4.
If we move about 3.5 units right of x=1, we get f(x) = 4.
Therefore, δ can't be more than 2.
(b) If 0 < |x| < δ, then |f(x) − 3| < 1
What this means is, how far can x stray from the x=0 line such that f(x) stays within 1 unit of the y=3 line (2 < f(x) < 4).
If we move 1 unit left of x=0, we get f(x) = 4.
If we move 1 unts right of x=0, we get f(x) = 2.
Therefore, δ can't be more than 1.
Since f(x) isn't continuous within this domain, we can't conclude that the limit exists.
Q4
(a) Yes. If δ = 0.25, then 0.75 < x < 1.25, and f(x) > 200.
(b) No. f(1) = 300, so even if δ = 0, f(x) will be less than 400.
(c) Yes. If δ ≈ 0.1, then 0.9 < x < 1, and f(x) > 450.
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
letting y = f(x) , rearrange making y the subject
Given
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4 ← in functional notation
When dividing two numbers with the same base
Answer:
you subtract the exponents
Solve for k.
12/k = 3
Answer:
k=3/12
k=.25
Step-by-step explanation:
we need to get k by itself
because 12 is over k we need to get rid of it by moving it to the other side (multiplying) because it is 12/k we need to multiply it by 1/12
This eliminates 12 and leaves us with k=3/12
2(4m + 1) = 4(3 + 2m) what os the value of m in the equation below?
Answer:
No solution.
Step-by-step explanation:
[tex]2(4m + 1) = 4(3 + 2m)\\[/tex]
Expand:
[tex]2\times4m+2\times1=4\times3+4\times2m[/tex]
[tex]8m+2=12+8m[/tex]
Subtract 2 from both sides:
[tex]8m+2-2=12+8m-2[/tex]
[tex]8m=8m+10[/tex]
Subtract 8m from both sides:
[tex]8m-8m=8m+10-8m[/tex]
[tex]0=10[/tex]
Since both sides are not equal, there is no solution, because the value of m will not affect this end result of [tex]0=10[/tex] which is false.
Answer:
any or all real number, meaning anything works, the equations are equal!
Step-by-step explanation:
2(4m + 1) = 4(3 + 2m)
8m+2=12+8m
8m=10+8m
0=10
this means that m can be any real number
hope this helped!
Dariaun uses his credit card to buy a $3,000 laptop for college. The credit card
company charges him a simple interest rate of 18%.
How much does he owe the credit card company after six months?
Answer:
$3,270
Step-by-step explanation:
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 18%/100 = 0.18 per year.
Putting time into years for simplicity,
6 months / 12 months/year = 0.5 years.
Solving our equation:
A = 3000(1 + (0.18 × 0.5)) = 3270
A = $3,270.00
The total amount accrued, principal plus interest, from simple interest on a principal of $3,000.00 at a rate of 18% per year for 0.5 years (6 months) is $3,270.00.
What is 3.18 written as a rational?
Answer:
[tex]\frac{318}{100}[/tex]
Step-by-step explanation:
A rational number can be expressed as
[tex]\frac{a}{b}[/tex] ← where a and b are integers
The 8 in 3.18 is in the hundredths position, thus
3.18 = [tex]\frac{318}{100}[/tex] ← as a rational number
A wheel whose radius is 50 centimeters completes 6 radians in 1 seconds. What is the linear speed of a point on the rim of the wheel? Convert your answer to meters per second (m/s).
Answer:
3m/seconds
Step-by-step explanation:
In this problem we are required to solve for linear speed of the rotating wheel
The linear speed =angular speed x raduis
Given data
Radius r= 50cm
Converting from cm to m
50/100= 0.5m
Angular velocity w= 6rad/s
V=wr
V= 6*0.5m
V=3m/s
The linear speed is 3m/seconds
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
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What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form.
(a) Show your work.
(b) is the product of 2x - 5 and 3x2 + 5x - 7equal to the product of 5x - 2 and 3x2 + 5x - 7? Explain your
answer.
Answer:
a) 6x³ − 5x² − 39x + 35
b) no
Step-by-step explanation:
(2x − 5) (3x² + 5x − 7)
Distribute:
3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)
Distribute again:
6x³ − 15x² + 10x² − 25x − 14x + 35
Combine like terms:
6x³ − 5x² − 39x + 35
5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).
Pls help me on question 15
Find the area of a triangle with a 21 cm base and 4 cm height
Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
What is the first step in evaluating the expression shown below?
12 ÷ (74 – 36) + 8 – 2
a
Subtract 74 – 36.
b
Divide 12 ÷ 74.
c
Add 36 + 8.
d
Subtract 8 – 2.
Answer:
A
Step-by-step explanation:
because it is is parenthesis
The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.
Answer:
k = 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 5 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus the 2 points have a slope of - 3
calculate the slope using the slope formula and equate to - 3
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)
m = [tex]\frac{5+1}{k-4}[/tex] = [tex]\frac{6}{k-4}[/tex] = - 3 ( multiply both sides by (k - 4) )
- 3(k - 4) = 6 ( divide both sides by - 3 )
k - 4 = - 2 ( add 4 to both sides )
k = 2
whats he approximete value of the square root of 8
Answer:
the approximate value of the square root of 8 is 2.828
PLEASE help me at 1 B !!!!
Answer:
a = 1, b = 4
Step-by-step explanation:
You have worked out part (a) correctly, that is
0.7575... = [tex]\frac{75}{99}[/tex] = [tex]\frac{25}{33}[/tex]
(b)
[tex]\frac{a}{11}[/tex] + [tex]\frac{b}{6}[/tex] = [tex]\frac{25}{33}[/tex]
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{25}{33}[/tex]
Multiply numerator/ denominator of [tex]\frac{25}{33}[/tex] by 2, thus
[tex]\frac{25(2)}{33(2)}[/tex] = [tex]\frac{50}{66}[/tex] , then
[tex]\frac{6a+11b}{66}[/tex] = [tex]\frac{50}{66}[/tex] , thus
6a + 11b = 50
Choose a = 1 ( a positive integer ), then
6(1) + 11b = 50
6 + 11b = 50 ( subtract 6 from both sides )
11b = 44 ( divide both sides by 11 )
b = 4
a = 1, b = 4, so
[tex]\frac{1}{11}[/tex] + [tex]\frac{4}{6}[/tex] = [tex]\frac{25}{33\\}[/tex]
Need help with this question!!!
Pls explain!!!
3=-(4x+7)+3x
Answer:
x=-10
Step-by-step explanation:
3=-(4x+7)+3x
move all terms to the left:
3-(-(4x+7)+3x)=0
calculate terms in parentheses: -(-(4x+7)+3x), so:
-(4x+7)+3x
add all the numbers together, and all the variables
3x-(4x+7)
get rid of parentheses
3x-4x-7
add all the numbers together, and all the variables
-1x-7
Back to the equation:
-(-1x-7)
get rid of parentheses
1x+7+3=0
add all the numbers together, and all the variables
x+10=0
move all terms containing x to the left, all other terms to the right
x=-10
What is the absolute value of 3 2/3
Answer:
-3 2/3
Step-by-step explanation:
If the number is positive and they are asking for the absolute value it's always going to be negative of the number they are asking you for the absolute value of. Same thing if it was a negative 3 2/3 then the absolute value of -3 2/3 would be positive 3 2/3.
I hope this helped! <3
Answer: 3.66..
Step-by-step explanation: absolute value is the value of the number from the number 0 on the number line so, 3 ⅔ in decimals is 3.66... so the answer is 3.66... because that is how much the number is if you are counting from 0.
(2,-4) and (6,2).
Find the mid point
Answer:
The answer is
( 4 , - 1)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-4) and (6,2)
The midpoint is
[tex]M = ( \frac{2 + 6}{ 2} , \: \frac{ - 4 + 2}{2} ) \\ = ( \frac{8}{2} \: , \: - \frac{2}{2} )[/tex]
We have the final answer as
( 4 , - 1)Hope this helps you
Answer:
The mid point must be (4,-1)
Step-by-step explanation:
mid point= [(X1+X2)/2 , (Y1+Y2)/2]
= [ (2+6)/2 , (-4+2)/2]
= [ 8/4 , -2/2]
= (4, -1)
20 points
5. Convert the following standard equation to slope-intercept form (y =
mx + b) and identify the slope: 8x + 2y = 20 *
Answer:
y = -4x +10
Slope = -4
Step-by-step explanation:
[tex]8x + 2y = 20[/tex]
Slope intercept form =
[tex]y = mx + b[/tex]
[tex]2y = - 8x + 20[/tex]
Divide both sides of the equation by 2
[tex] \frac{2y}{2} = \frac{ - 8x}{2} + \frac{20}{2} [/tex]
Simplify
[tex]y = - 4x + 10[/tex]
In y= mx+b , m is the slope and the coefficient of x
[tex]m = - 4[/tex]
A DVD that originally cost $30 is on sale for 10 percent off. Complete the steps to solve the problem.
Answer:
$27
Step-by-step explanation:
10% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
Answer:
27$
Step-by-step explanation:
0% of 30 = 3, so if we take 3 or 10% away from 30, you will get 27.
100 pts f f(x) = 8.3x + 8.1, solve f(x) = 65.37. Type your answer as a decimal rounded to the nearest tenth.
Answer: x=6.9
Step-by-step explanation:
In the problem, it is stated that y=65.37. All we have to do is plug that into y and solve for x.
65.37= 8.3x + 8.1 [subtract both sides by 8.1]
57.27=8.3x [divide both sides by 8.3]
x=6.9
Now, we know x=6.9.
Answer:
6.9
Step-by-step explanation:
you save $150 per month for 2 years. what is the total amount you have saved?
The answer is 300 because 2 times 15 is 30 than you just add the zero
Answer:
$300
Step-by-step explanation:
i think you multiply 150 by 2 to get 300
What is the area of this circle?
2cm
Area = [?] cm?
Round your answer to 2 decimal places
Answer:
12.57
Step-by-step explanation:
Not rounded it would be 12.56637
If you are just replacing pi with 3.14. than your answer would be exactly 12.56.
what type of angle is <CEB?
Answer:
obtuse angle
Step-by-step explanation:
m(<CEA)=m(<BED)=88 (vertically opposite angles)
So m(<CEB)+m(<AED)=360-(88+88)=182
m(<CEB)=m(<AED)= 182÷2=92
Ms.Samuel has taken a survey of college students and found that 1 out of 7 students are liberal arts majors. If a college has 12,000 students, what is the best estimate of the number of students who are liberal arts majors
Answer:
1714 studentsStep-by-step explanation:
If 1 out of 7 students are liberal arts majors based on Ms. samuel survey, the estimate of the number of students who are liberal arts majors if the total number of student in the college s 12,000 can be gotten using the equality expression.
7 students = 1 liberal art major student
12,000 = x liberal art major students
cross multiply
7*x = 12000*1
7x = 12000
divide both sides by 7
7x/7 = 12000/7
x = 1714.29
x≈ 1714
Hence the best estimate for the number of students who are liberal arts majors is 1714 students.
Points F, G and H are collinear. If GH = 16, what is FH?
Answer:
FH = 36 units
Step-by-step explanation:
Points F, G and H are collinear.
Therefore, by joining segments FG and GH we get a segment FH.
FH = FG + GH
By substituting the values of the segments given in the question,
FH = (3x - 1) + (2x + 2)
= 5x + 1
Since, GH = 16
2x + 2 = 16
2x = 14
x = 7
Therefore, FH = (5x + 1)
= 35 + 1
= 36 units
Measure of segment FH = 36 units.