What is the slope of a line that is perpendicular to the line shown on the graph?
Answers
Answer:
4
Step-by-step explanation:
The slope of the line in the image is -1/4. I found that by starting at the point (0,2) and moving down 1, and right 4. This is because slope is rise over run, meaning that you move up/down and then right/left. You can see that the line is sloping downwards, so it is negative.
Perpendicular lines have a slope that is the opposite reciprocal, meaning the sign is opposite and the numerator and denominator are flipped (reciprocal). The current slope is -1/4, so the reciprocal is -4/1 (or just -4). Then just make the negative positive and you get 4.
Related Questions
25. (01.05)
Given the point (2, 3) and the slope of 4, find y when x = 22. (1 point)
I 78
O83
O88
091
Answers
Answer: 83
Step-by-step explanation:
The equation of the line in point-slope form is
[tex]y-3=4(x-2)[/tex]
Substituting in x = 22,
y - 3 = 4(22-2) [substitution]y -3 = 80 [simplify right hand side]y = 83 [add 3 to both sides]On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, 1) and (0, 3). Everything to the left of the line is shaded.
Which linear inequality is represented by the graph?
y <2/3x + 3
y > 3/2x + 3
y > 2/3x + 3
y < 3/2x + 3
Answers
Answer:
The correct linear inequality is y<2/3x+3
Step-by-step explanation:
Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols
In the graph, the grey region corresponds to the region non-allowed by inequality. We see that for x=0, y is allowed to be only less than 3: this means that the correct inequality must be in the form y<mx+3, so only the 1st option or the 4th option.
In order to choose the correct option, we should find the value of m, the slope of the line in the graph. This slope can be found by calculating the variation of y divided by the variation of x:
m=dy/dx
Choosing for example the points x=0 (which corresponds to y=3) and x=3 , we find
So, the equation of the line is y=2/3x+3
and so the correct inequality is
y<2/3x+3
Learn more about linear inequality : https://brainly.com/question/371134
#SPJ10
A uniform density curve goes from negative 5 to positive 1.
What would the height need to be for this curve to be a density curve?
Negative one-sixth
One-sixth
One-fifth
1
Picture posted below
Answers
Answer: Choice B) One-sixth
In other words, the fraction 1/6
===========================================================
Explanation:
The base, aka horizontal component, is 6 units long. Count out the spaces from -5 to 1 to get a result of 6.
Or you could subtract and use absolute value in either of these two ways
|A - B| = |-5 - 1| = |-6| = 6|B - A| = |1 - (-5)| = |1 + 5| = |6| = 6Where A = -5 and B = 1 are the endpoints mentioned. Absolute value is used to ensure the result of the subtraction isn't negative. Negative distance on a number line doesn't make sense.
----------
However you determine the base, we'll multiply it by the unknown height which we'll call h. This leads to the area of the rectangle. The area is 6h.
Rule: The area under a probability density curve must always be 1.
So the area 6h must be 1 which helps us see that...
6h = 1
h = 1/6
Divide both sides by 6 to isolate h fully.
Answer:
B
Step-by-step explanation:
What is the area of the polygon given below?
Answers
Answer:
340 i am pretty sure
Step-by-step explanation:
In AABC, a = 13, b = 14, and c = 18. Find m/A.
B
A
39.5
с
b
a
Answers
Answer:
Step-by-step explanation:
Using the Law of Cosines,
[tex]a^{2}=b^2 + c^2 - 2bc \cos A\\\\13^{2}=14^{2}+18^{2}-2(14)(18) \cos A\\\\-351=-504 \cos A\\\\\cos A=\frac{351}{504}\\\\A=\boxed{\cos^{-1} \left(\frac{351}{504} \right)}[/tex]
Hi. how can i Find the *number* of terms of a finite geometric sequence?
r= .75
a= 40
sum= 280
Answers
We have to use the formula [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex] to find the number of terms of a finite geometric sequence.
If a be the first term of a finite sequence, r be the common ratio between consecutive terms and n be the number of terms.
So, we have to use the formula of sum of sequence and then calculate it to reduce the equation to find the value of number of terms, that is n.
Then, Sum of the sequence (Sn) = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
Here, in the given problem,
Sum(Sn) = 280, First term of the sequence(a) = 40, Common ratio(r) = 0.75
So, Sn = [tex]\frac{a(1-r^{n}) }{1-r}[/tex]
⇒ [tex]1-r^{n} =\frac{S_{n}(1-r) }{a}[/tex]
⇒ [tex]r^{n} =1+\frac{S_{n}(1-r) }{a}[/tex]
⇒ [tex]n = log_{r} (1+\frac{S_{n}(1-r) }{a})[/tex]
Now you have to put the values and get the number of terms.
Learn more about finite geometric sequence here :
https://brainly.com/question/4407356
#SPJ10
Write this expression in simplified terms.
3×√3×6×√6
Answers
Answer:
54√2
Step-by-step explanation:
Rewrite, using the distributive
property (Algebra 1)
Answers
Answer:
[tex]24m + 32[/tex]
Step-by-step explanation:
[tex]8(3m + 4) = 24m + 32[/tex]
On a walk through the woods, Mr. Finley saw 16 blue jays and 25 purple finches. Write the ratio of finches to blue jays three different ways.
Answers
Answer:
25:16
50:32
100:64
Step-by-step explanation:
In(2e^9) in logarithmic expression
I’m having trouble with all of the “In” section and very confused
Answers
In logarithmic form, we get In(2e^9)= ln(2)+9.
LogarithmsWe define the logarithm as the power to which any number must be raised to get few other values.Exponentiation is the reverse process of logarithm.We are given,
ln(2[tex]e^{9}[/tex])
We know that, ln(ab) = ln(a) + ln(b)
So we get,
ln(2[tex]e^{9}[/tex]) = ln(2)+ln([tex]e^{9}[/tex])
Since ln(m^n)=n ln(m)
And ln(e)= 1, we will get,
ln(2[tex]e^{9}[/tex]) = ln(2) +9 ln(e)
= ln(2) +9
Hence, the logarithmic form, we get In(2e^9)= ln(2)+9.
To learn more about Logarithms refer to:
https://brainly.com/question/20785664
#SPJ10
2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)
Answers
Step-by-step explanation:
2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)
2x+4+5x+25=4x-32+2x-4
7x+29=6x-36
7x-6X=-36-29
X=-65
Answer:
x = -65
Step-by-step explanation:
2(x + 2) + 5(x + 5) = 4(x-8) + 2(x - 2)
Distribute:
2(x + 2): 2x + 4
5(x + 5): 5x + 25
=
4(x - 8): 4x - 32
2(x - 2): 2x - 4
Combine like terms:
(2x + 4) + (5x + 25) = (4x - 32) + (2x - 4)
5x + 2x: 7x = 4x + 2x: 6x
4 + 25 = 29 = -32 - 4: -36
7x + 29 = 6x - 36
Now we want to separate like terms,
subtract 29 from both sides
subtract 6x from both sides
7x + 29 - 29 - 6x = 6x - 29 - 6x- 36
7x - 6x = - 29 - 36
x = -65
Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.
2 parallel horizontal lines are intersected by a third line. On the first horizontal line where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. On the second horizontal line, where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, blank, blank.
Which statement is true about angles 3 and 5?
They are acute.
They are congruent.
They are complementary.
They are supplementary.Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent.
2 parallel horizontal lines are intersected by a third line. On the first horizontal line where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. On the second horizontal line, where the third line intersects, 4 angles are created. Labeled clockwise, from uppercase left, the angles are 5, 6, blank, blank.
Which statement is true about angles 3 and 5?
They are acute.
They are congruent.
They are complementary.
They are supplementary.
Answers
Answer:
4. They are supplementary
Answer:
4 they are supplemental
1) point)
Problem 2. Fill out the blank to make the given table a discrete probability distribution.
1) point)
2
3
4
P(x)
0.03
0.14
0.65
0.08
Answers
Explanation:
Add up the given decimal values
0.03+0.14+0.65+0.08 = 0.90
Recall that all of the P(X) values must add to 1 to represent 100% of all possible outcomes. So far we added to 0.90, so we're missing 1 - 0.90 = 0.10
As a check,
0.03+0.14+0.65+0.08 + 0.10 = 1
Evaluate the expression.
Answers
Explanation:
Answer:
18
Step-by-step explanation:
Using order of operations:
[tex] \frac{15 - 9}{3} (19 - 10)[/tex]
[tex] \frac{6}{3} (9)[/tex]
[tex]2(9) = 18[/tex]
Calculate the a) future value of the annuity due, and b) total interest earned. (From Example 2)
2. Jay Smith deposited $5,000 into an annuity due at the beginning of each quarter for 3 years at 6%
compounded quarterly.
Answers
Answer:
value: $66,184.15interest: $6,184.15Step-by-step explanation:
The future value can be computed using the formula for an annuity due. It can also be found using any of a variety of calculators, apps, or spreadsheets.
__
formulaThe formula for the value of an annuity due with payment P, interest rate r, compounded n times per year for t years is ...
FV = P(1 +r/n)((1 +r/n)^(nt) -1)/(r/n)
FV = 5000(1 +0.06/4)((1 +0.06/4)^(4·3) -1)/(0.06/4) ≈ 66,184.148
FV ≈ 66,184.15
calculatorThe attached calculator screenshot shows the same result. The calculator needs to have the begin/end flag set to "begin" for the annuity due calculation.
__
a)The future value of the annuity due is $66,184.15.
b)The total interest earned is the difference between the total of deposits and the future value:
$66,184.15 -(12)(5000) = 6,184.15
A total of $6,184.15 in interest was earned by the annuity.
F
10
A. 18
B. 28
C. 38
D. 48
G
8
H
If ZG ZH, find the perimeter of AFGH.
Answers
If angle g and angle h are the same, this means it’s an isosceles triangle. Since the side opposite of the angle is what the angle correlates to, line segment FH= line segment GF. Now we have FH=10.
Finally we add all sides 10+10+8 and arrive at 28.
Hope this helps!
Answer:
The answer is 28
Step-by-step explanation:
ms..s.s..snskkzkzklzlzls
Darrel divided 8,675 by 87. His work is shown below
Which answer choice correctly identifies the error Darrel made when dividing?
a b c or d?
Answers
see attachment:
A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has an area of 135 square units.
Part A Write an equation to model the above scenario. Use the model to find the length of the original rectangle?
Part B What is the perimeter of the expanded rectangle?
Answers
The equation to model the above scenario is [tex]x^{2}[/tex] +22x - 23 = 0
The perimeter of the expanded rectangle is 48 units
What is a rectangle?A rectangle is a quadrilateral with its 4 angles 90°
Analysis:
First rectangle:
length = 10 + x
width = x
Second rectangle:
length = x + 14
width = x + 8
Area of expanded rectangle = 135 square unit
(x+8)(x+14) = 135
[tex]x^{2}[/tex] + 8x + 14x + 112 = 135
[tex]x^{2}[/tex] + 8x + 14x -23 = 0
[tex]x^{2}[/tex] + 22x -23 = 0
[tex]x^{2}[/tex] + 23x - x - 23 = 0
(x-1)(x+23) = 0
Therefore x = 1
Expanded length = 1+14 = 15
Expanded width = 1+8 = 9
Perimeter = 2(9+15) = 48 units
Learn more about Rectangles: brainly.com/question/25292087
#SPJ1
Line l has a slope of 2/3 The line through which of the following pair of points is perpendicular to l?
Answers
We conclude that the line that passes through (0, 0) and (2, -3) is perpendicular to line l.
The line through which of the following pair of points is perpendicular to l?Remember that two lines are perpendicular only if the slope of one of the lines is equal to the opposite of the inverse of the slope of the other line.
So, if line l has the slope 2/3.
Then the perpendicular lines have a slope equal to -3/2.
Now, remember that if a line goes through two points (x₁, y₁) and (x₂, y₂), then the slope of that line is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So here we just need to find two points (x₁, y₁) and (x₂, y₂) such that the slope is equal to -3/2.
If we define (x₁, y₁) = (0, 0), then the other point must be:
[tex]a = \frac{y_2 - 0}{x_2 - 0} = -3/2\\\\y_2/x_2 = -3/2[/tex]
Then we can write the other point as (2, -3).
So we conclude that the line that passes through (0, 0) and (2, -3) is perpendicular to line l.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
what are the solutions in the following equations?
Answers
Answer: (0, -6) and (1, -5)
Step-by-step explanation:
If [tex]x-y=6[/tex], then [tex]y=x-6[/tex]. Substituting this into the second equation,
[tex]x-6=x^{2}-6\\\\x^{2}-x=0\\\\x(x-1)=0\\\\x=0, 1[/tex]
If x=0, y=-6.
If x=1, y=-5.
So, the solutions are (0, -6) and (1, -5)
Which of the following displays is a relative frequency bar graph?
A bar graph titled eye color has color on the x-axis. Blue, 8; brown, 10; green, 6; hazel, 5; gray, 1.
A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
A bar graph titled Caffeinated Drinks has drink on the x-axis. Coffee, 9; tea, 8; soda, 8; energy, 3.
A bar graph titled social media preferences has platform on the x-axis . Upstart, 4; Aster, 18; Babble, 15; Techy, 12.
Mark this and return
Answers
The answer choice which represents a relative frequency bar graph is; A bar graph titled social media preferences has platform on the x-axis. Upstart, 0.10; Aster, 0.25; Babble, 0.30; Techy, 0.35.
What is Relative frequency?The statistical definition of relative frequency is simply the ratio of the frequency of an event in a statistical experiment with respect to the total frequency. Hence, since the frequencies in the social media bar chart as decimals (fractions of a whole), it follows that it is a relative frequency representation.
Read more on relative frequency;
https://brainly.com/question/1094036
#SPJ1
Answer Its B
Step-by-step explanation:Edge 2022 I guess
Fig. R24 shows a flower vase whose circular base is parallel to its circular top.
Use the dimensions in the figure to calculate the curved surface area of the flower vase
Answers
Answer:
operant conditioning and schedules of reinforcement
p + (-q) - 2 = ? When p = -3 and q = 5
Answers
Answer:
= -10
Step-by-step explanation:
p + (-q) - 2 = x
if:
p = -3
q = 5
then:
-3 + (-5) - 2 = x
we know that:
+(-) = -
then:
-3 +(-5) - 2 = -3 - 5 - 2 = x
x = -10
The value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have given an expression:
= P + (-q) - 2
Plug p = -3
q = 5
= -3 + (-5) - 2
= -3 - 5 - 2
= -10
Thus, the value of the expression p + (-q) - 2 is -10 if the p = -3 and q = 5 the answer is -10.
Learn more about the expression here:
brainly.com/question/14083225
#SPJ1
Consider the equation below. "-2(5x+8)=14+6x" The equation was solved using the following steps.
Answers
The equation -2(5x+8) = 14+6x solved using step by step representation is x = -15/8.
Solving steps for the EquationThe equation to be considered as given in the task content is; -2(5x+8)=14+6x.
It follows from the task content that the steps for solving the equation are as follows;
-2(5x+8) = 14+6x
Step 1: opening parenthesis-10x - 16 = 14 + 6x
Step 2: collect like terms-10x - 6x = 14 + 16
Step 3: evaluate-16x = 30
Step 4: Divisionx = 30/-16
x = -15/8
Hence, the value of x upon solving the equation is; -15/8.
Learn more about equation:
https://brainly.com/question/4344214
#SPJ1
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.6 years.
If you randomly purchase one item, what is the probability it will last longer than 2 years?
Answers
The probability will last longer than 2 years will be 3.3%.
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
First let us calculate the z score using the formula:
[tex]z = \dfrac{(x- \mu)} { s}[/tex]
where x = 2, u is the mean = 3.1 years, and s is the standard deviation
[tex]z =\dfrac{ (2 - 3.1) }{ 0.6}[/tex]
z = -1.83
From the standard probability tables, the p-value at z = -1.83 is:
P = 0.033 = 3.3%
Therefore the probability that will last longer than 2 years will be 3.3%.
To know more about probability follow
https://brainly.com/question/24756209
#SPJ1
2. (06.03)
What is the solution to the following system of equations? (2 points)
y = -x2 – 5x − 4
y = -x² + 9x - 18
O (-1,-10)
O (1,-10)
O (-1,10)
(1.10)
Answers
Answer: (1, -10)
Step-by-step explanation:
Since both of the equations are set equal to y, we can conclude that:
[tex]-x^2 -5x-4=-x^2 + 9x-18\\\\-5x-4=9x-18\\ \\ -14x-4=-18\\\\-14x=-14\\\\x=1[/tex]
If x=1, then [tex]y=-(1)^{2}+9(1)-18=-10[/tex]
Thus, the solution is (1, -10)
find in factord form -9n+n^2=0
Answers
Answer:
n(-9+ n) =0
Step-by-step explanation:
-9n+n^2=0 Kind of use 'reverse distributive' property
n (-9 + n) = 0
Can someone help me? I’ll give brainliest to whoever gets it right first
Answers
Answer:
72 Degrees
Step-by-step explanation:
We know that its 72 because of VAT, the vertical angle theorem.
Detailed Explanation:
In the figure the given angles are Vertically Opposite Angles. Vertically Opposite Angles are always Equal.
Therefore, x = 72°
2 Math questions! Offering the brainliest to who answers
Answers
Answer:
first one L second one D
Step-by-step explanation:
Gabrielle's age is three times Mikhail's age. The sum of their ages is 36. What is Mikhail's age?
Answers
Answer:
Gabrielle is 27
Mikhail is 9
Step-by-step explanation:
g = 3m
g + m = 36
since g = 3m we can substitute it in the equation
g + m = 36 as
3m + m = 36
4m = 36
m = 9
3m = 27 which is g
https://brainly.com/question/4960041