Please help!!!! sinx= -1/2, and cosy= sqrt 3/2. if angle x is the fourth quadrant and angle y is in the first quadrant the value of cos(x-y) is??
Answers
Answer:
[tex]\cos (x-y)=\dfrac{1}{2}=0.5[/tex]
Step-by-step explanation:
Use formula:
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y[/tex]
Since
[tex]\sin x=-\dfrac{1}{2}[/tex]
and angle x is in the fourth quadrant, then cos x is greater than 0 and is equal to
[tex]\cos x=\sqrt{1-\sin ^2x}=\sqrt{1-\left(-\dfrac{1}{2}\right)^2}=\sqrt{1-\dfrac{1}{4}}=\sqrt{\dfrac{3}{4}}=\dfrac{\sqrt{3}}{2}[/tex]
Since
[tex]\cos y=\dfrac{\sqrt{3}}{2}[/tex]
and angle y is in the first quadrant, then sin y is greater than 0 and is equal to
[tex]\sin y=\sqrt{1-\cos ^2y}=\sqrt{1-\left(\dfrac{\sqrt{3}}{2}\right)^2}=\sqrt{1-\dfrac{3}{4}}=\sqrt{\dfrac{1}{4}}=\dfrac{1}{2}[/tex]
Hence,
[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y=\dfrac{\sqrt{3}}{2}\cdot \dfrac{\sqrt{3}}{2}+\left(-\dfrac{1}{2}\right)\cdot \dfrac{1}{2}=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{1}{2}[/tex]
Related Questions
The cost of $500,000 worth of 20-year-term life insurance for Shanika is
$73.87 per month. If Shanika's employer covers 70% of this cost, how much is
deducted from Shanika's gross income per year for life insurance?
Answers
Answer:
$265,93 Apex confirmed
Step-by-step explanation:
Answer:
$265.932
Step-by-step explanation:
We have been given that the cost of $500,000 worth of 20-year-term life insurance for Shanika is $73.87 per month. Shanika's employer covers 70% of this cost. We are asked to find the amount that is deducted from Shanika's gross income per year for life insurance.
Since Shanika's employer covers 70% of her life insurance, so Shanika pays 30% (100%-70%) of her life insurance.
Let us find amount paid by Shanika per month for life insurance.
[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times\frac{30}{100}[/tex]
[tex]\text{Amount paid by Shanika for life insurance per month}=\$73.87\times0.30[/tex]
[tex]\text{Amount paid by Shanika for life insurance per month}=\$22.161[/tex]
To find amount paid by Shanika is one year, we will multiply $22.161 by 12 as 1 year is equal to 12 months.
[tex]\text{Amount paid by Shanika for life insurance per year}=\$22.161\times 12[/tex]
[tex]\text{Amount paid by Shanika for life insurance per year}=\$265.932[/tex]
Therefore, $265.932 is deducted from Shanika's gross income per year for life insurance.
Please I Need Help Badly!!!
Answers
This is a similarity and congruence question.
When shapes are similar, their angles are equal but their sizes are proportionate
So we can say this:
Angle GHE or z = Angle CDA
Angle GHE or z = 110
Answer would be 110
In geometry, similar shapes have equal angles. If angle GHE (z) is 110 degrees, then angle CDA, in similar shapes, is also 110 degrees, simplifying angle-related problems.
In geometry, understanding the properties of similar and congruent shapes is essential. When two shapes are similar, it means that they have the same shape, and their angles are equal, but their sizes are proportionate. This concept provides a basis for solving problems involving angles in similar shapes.
In the given scenario, we are dealing with two shapes: GHE and CDA. When it's established that these shapes are similar, it means their corresponding angles are equal. Therefore, angle GHE (often denoted as 'z') is indeed equal to angle CDA.
Furthermore, the problem provides the measure of angle GHE (z) as 110 degrees. Using the information that angles in similar shapes are equal, we can confidently state that angle CDA is also 110 degrees.
In summary, the solution leverages the concept of similarity in geometry, where similar shapes have equal angles. Given that angle GHE (z) is provided as 110 degrees, it follows that angle CDA, being corresponding and equal in similar shapes, is also 110 degrees. This demonstrates how understanding similarity and congruence properties can simplify angle-related problems in geometry.
For more such information on: angle
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For the sequence 3,9,27,81…, give a formula for its nth term:
Answers
Find the sample standard deviation and the population standard deviation of the data set. 56, 65, 73, 66, 64, 58, 72, 52, 69, 71, 53, 66, 78, 58
Answers
Answer:
population standard deviation = √58.79857 = 7.6680
sample standard deviation = √63.32154 = 7.9575
Step-by-step explanation:
The question is on sample standard deviation and population standard deviation
Arrange data in ascending order
56, 65, 73, 66, 64, 58, 72, 52, 69, 71, 53, 66, 78, 58
52,53,56,58,58,64,65,66,66,69,71,72,73,78
Find the mean of the data set;
[tex](52+53+56+58+58+64+65+66+66+69+71+72+73+78) /14[/tex]
=[tex]\frac{901}{14} = 64.36[/tex]
Finding the deviations from the mean
Deviations square of deviations
52-64.36= -12.36 152.77
53-64.36= -11.36 129.05
56-64.36= -8.36 69.89
58-64.36= -6.36 40.45
58-64.36= -6.36 40.45
64-64.36= -0.36 0.13
65-64.36= 0.64 0.41
66-64.36= 1.64 2.67
66-64.36= 1.64 2.67
69-64.36= 4.64 21.53
71-64.36=6.64 44.09
72-64.36=7.64 58.37
73-64.36=8.64 74.65
78-64.36=13.64 186.05
Sum 823.18
1. Treating the data set as an entire population;
population variance= 823.18/14 =58.79857
population standard deviation = √58.79857 = 7.6680
2. Treating the data set as a sample, the number of data points will be less by 1
n= 14-1 = 13
sample variance= 823.18/13 = 63.32154
sample standard deviation = √63.32154 = 7.9575
Answer:
C on edge
Step-by-step explanation:
The percentage of the same population with brown eyes and black hair is larger than the percentage of the sample population with blue eyes and black hair by
Answers
Answer:
18
Step-by-step explanation:
There are 64 people with brown eyes and black hair out of 303 total people; this is 64/303 = 0.211 = 21.1%.
There are 9 people with blue eyes and black hair out of 303 total people; this is 9/303 = 0.0297 = 2.97%.
This is a difference of 21.1-2.97 = 18.13, or 18%.
Choose a system of equations with the same solution as the following system:
4x − 2y = 6
2x + y = 5
A.−4x − 2y = 10
2x − 3y = 21
B.4x + 2y = 10
10x + y = 21
C.−4x − 5y = −1
2x − 6y = 10
D.3x + 2y = 6
9x + y = 17
Answers
Answer:
[tex]\large\boxed{B. \left\{\begin{array}{ccc}4x+2y=10\\10x+y=21\end{array}\right}[/tex]
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}4x-2y=6\\2x+y=5&\text{multiply both sides by 2}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}4x-2y=6\\4x+2y=10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad8x=16\qquad\text{divide both sides by 8}\\.\qquad x=2\\\\\text{put the value of x to the second equation:}\\\\2(2)+y=5\\4+y=5\qquad\text{subtract 4 from both sides}\\y=1[/tex]
[tex]\text{Put the value of x and y to the each equation and check the equalities:}\\\\A.\\-4x-2y=10\\-4(2)-2(1)=10\\-8-2=10\\-10=10\qquad\bold{FALSE}\\\\B.\\4x+2y=10\\4(2)+2(1)=10\\8+2=10\\10=10\qquad\bold{CORRECT}\\10x+y=21\\10(2)+1=21\\20+1=21\\21=21\qquad\bold{CORRECT}\\\\C.\\-4x-5y=-1\\-4(2)-5(1)=-1\\-8-5=-1\\-14=-1\qquad\bold{FALSE}\\\\D.\\3x+2y=6\\3(2)+2(1)=6\\6+2=6\\8=6\qquad\bold{FALSE}[/tex]
Answer:
B
Step-by-step explanation:
find the midpoint of the segment between the points (8,-10) and (-10,-8)
Answers
Answer:
(-1, -9)
Step-by-step explanation:
Recall that for 2 points (x1, y1) and (x2,y2)
the midpoints are given by
x ordinate = [tex]\frac{x1+x2}{2}[/tex]
y ordinate = [tex]\frac{y1+y2}{2}[/tex]
In our case x1 = 8, y1 = -10, x2 = -10, y2=-8
x ordinate = [tex]\frac{x1+x2}{2}[/tex] = [8 + (-10) ] / 2 = -1
y ordinate = [tex]\frac{y1+y2}{2}[/tex] = [-10 + (-8) ] / 2 = -9
hence midpoint is (-1, -9)
Answer:
The the midpoint of given line segment = (-1, -9)
Step-by-step explanation:
Points to remember
Midpoint formula
Midpoint of a line segment with end points (x₁, y₁) and (x₂, y₂) is given by,
Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]
To find the midpoint of given line segment
Here (x₁, y₁) = (8, -10) and (x₂, y₂) = (-10, -8)
Midpoint = [( x₁ + x₂)/2 , (y₁ + y₂)/2]
= [(8 + -10)/2 , (-10 + -8)/2]
= [-2/2, -18/2]
= (-1, -9)
Therefore the midpoint of given line segment = (-1, -9)
---Kara is sending a gift to her grandmother. The gift was wrapped in a cube-shaped box with side lengths of 6 in. she wants to use the shipping box that is closest to the size of her gift. The table shows the cube shaped shipping boxes at the post office has available for her to use.---
Answers
Kara should use Box C. The correct answer is OC) Box C.
To determine which shipping box Kara should use, we need to compare the volume of her gift box with the volumes of the available shipping boxes.
The volume of Kara's cube-shaped gift box is given by the formula:
Volume of cube=[tex]Side length^3[/tex]
For Kara's gift box:
Volume of Kara’s box=[tex]6^3 =216in^3[/tex]
Now, let's compare this with the volumes of the available shipping boxes:
Volume of Box A= [tex]64in^3[/tex]
Volume of Box B= [tex]125in^3[/tex]
Volume of Box C= [tex]343in^3[/tex]
Volume of Box D=[tex]729in^3[/tex]
Kara should choose the shipping box that is large enough to accommodate her gift. In this case, Box C has a volume of 343 in³, which is more than enough to fit Kara's gift (216 in³). Therefore, Kara should use Box C. The correct answer is OC) Box C.
Jonah knows that mr. Robinson needs 14 tablets for a week supply of anti-inflammatory drug mr. Robinson is going on vacation and needs 4 weeks Supply how many tablets does Jonah need to fill his prescription
Answers
Answer:
56 tablets
Step-by-step explanation:
Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.
Mr. Robinson is going on vacation and needs a 4-week supply.
So multiplying 4 with the weekly supply will yield the required result.
So, number of tablets Jonia needs to fill is,
=4\times 14
=56
Therefore, Jonah needs 56 tablets in order to fill his prescription
Final answer:
Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug by multiplying the weekly need of 14 tablets by 4 weeks.
Explanation:
Jonah knows that Mr. Robinson needs 14 tablets for a week supply of an anti-inflammatory drug. Mr. Robinson is going on vacation and needs a 4 weeks supply. To calculate the total number of tablets needed for the 4-week supply, you multiply the weekly need by the number of weeks:
Determine the weekly need: 14 tablets.
Multiply the weekly need by the number of weeks: 14 tablets × 4 weeks = 56 tablets.
So, Jonah needs to fill Mr. Robinson's prescription with 56 tablets for a 4-week supply of the anti-inflammatory drug.
What is the inverse of the statement below?
x=y
Answers
Answer:
~x->~y
Step-by-step explanation:
Inverse of a conditional p->q is not p->not q
So inverse of x->y is ~x->~y
Answer:
The correct option is A.
Step-by-step explanation:
The given statement is
[tex]x\Rightarrow y[/tex]
We need to find the inverse of the given statement.
If a and b are two statements, then
Direct statement : [tex]a\Rightarrow b[/tex]
It means if a is true then b is true.
Inverse statement : [tex]\sim a\Rightarrow \sim b[/tex]
It means if a is false then b is false is true.
The inverse of given statement is
[tex]\sim x\Rightarrow \sim y[/tex]
Therefore the correct option is A.
What relation describes a function?
(Picture included)
Answers
Answer:
Choice B
Step-by-step explanation:
For a function to be a function, one of the easiest ways to tell is if an x-value has more than one y-value, because then it wouldn't pass the Vertical Line Test
But for choices A, C, and D, each x-value has 2 different y-values, failing the test
Out of the given options, the relation that describes a Functions is B) {(-2, −3), (-3, −2), (2, 3), (3, 2)}, as in this set, each x-value is only paired once with a unique y-value.
In the context of functions in Mathematics, a function is a relation where every domain (input) has exactly one unique range (output).
Looking at these four relations, the relation that describes a function would be B) {(-2, −3), (-3, −2), (2, 3), (3, 2)} because each x-value is paired with a unique y-value.
In other words, no x-value has more than one corresponding y-value.
For example, -2 is only paired with -3, -3 is only paired with -2, 2 is only paired with 3 - all unique pairs.
This is the definition of a function.
The other options (A, C, and D) all have x-values that are paired with more than one y-value, which violates the definition of a function.
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Find the value of y. Round the answer to the nearest tenth, if needed. A. 8 B. 14.7 C. 21.3 D. 27
Answers
PLEASE IGNORE THIS I MISREAD THE QUESTION AND AM NOT SURE HOW TO REMOVE MY ANSWER.
Answer:
D. 28
Step-by-step explanation:
ED2021
What is the solution to this system of equations?
4x + 5y = 7
3x – 2y = –12
Answers
Answer:
x = -2 and y = 3
Step-by-step explanation:
It is given that,
4x + 5y = 7 ----(1)
3x – 2y = –12 ---(2)
To find the value of x and y
eq(1) * 3 ⇒
12x + 15y = 21 ----(3)
eq(2) * 4 ⇒
12x - 8y = -48 ---(4)
eq(3) - eq(4) ⇒
12x + 15y = 21 ----(3)
12x - 8y = -48 ---(4)
0 + 23y = 69
y = 69/23 = 3
y = 3
Substitute the value of y in eq(1)
4x + 5y = 7 ----(1)
4x + 5*3 = 7
4x = 7 - 15 = -8
x = -8/4 = -2
Therefore x = -2 and y = 3
ANSWER
x=-2,y=3
EXPLANATION
The system of equations is:
[tex]4x + 5y = 7...(1)[/tex]
and
[tex]3x - 2y = - 12...(2)[/tex]
We multiply the first equation by 2.5 to get:
[tex]7.5x - 5y = - 30...(3)[/tex]
We add equations (1) and (3)
[tex]4x+7.5x=-30+7[/tex]
[tex]11.5x = - 23[/tex]
Divide both sides by 11.5
[tex]x = - \frac{23}{11.5} [/tex]
[tex]x = - 2[/tex]
Put x=-2 into the first equation or any other equation and solve for y.
[tex]4( - 2) + 5y = 7[/tex]
[tex] - 8 + 5y = 7[/tex]
[tex]5y = 7 + 8[/tex]
[tex]5y = 15[/tex]
[tex]y = 3[/tex]
if a bag contains 12 apples 4 bannans and 8 oranges what is the part whole ratio bannans to fruit
Answers
Answer:
Step-by-step explanation:
4 to 24 = 1 to 6
Answer:
4 to 24
Step-by-step explanation:
The bag in total has 24 fruit. So that means that the bag has 4 bannanas and 24 fruit in total its 4 to 24
How to convert 5/15 into a decimal
Answers
Answer:
0.3333
Step-by-step explanation:
To get 5/15 converted to decimal, you simply divide 5 by 15.
Hope this helps!
Determine the value of X
Answers
Answer:
The value of x is 15 ⇒ answer D
Step-by-step explanation:
* Lets talk about dilation
- A dilation is a transformation that changes the size of a figure.
- It can become larger or smaller, but the shape of the
figure does not change.
- The scale factor, measures how much larger or smaller
the image will be
- If the scale factor greater than 1, then the image will be larger
- If the scale factor between 0 and 1, then the image will be smaller
- If the scale factor is negative then the figure will reflected
* Now lets solve the problem
∵ D (o, k) (x , 9) → (-10 , -6)
- D means dilation
- o means the center of dilation is the origin
- k means the scale factor of dilation
∵ The y-coordinate of the point is 9
∵ The image has y-coordinate -6
∵ The image = The scale factor × the coordinates
∴ -6 = k × 9 ⇒ divide both sides by 9
∴ k = -6/9 = -2/3
- Lets find x by same way
∵ -10 = -2/3 × x ⇒ divide both sides by -2/3
∴ x = -10 ÷ (-2/3) ⇒ change the division to multiplication
∴ x = -10 × (-3/2) = 30/2 = 15
∴ The x-coordinate of the point before dilation is 15
* The value of x is 15
Describe the relationship between the variables .
Answers
Answer:
B) As the age increases, the height increases.
Step-by-step explanation:
There is a clear trend that is shown with a positive slope. That means that the the variables, here, the age and the height, are directly proportionate to each other. That means our answer is B or D.
Another note is that in a situation like this, the y-variable is dependent on the x-variable. So, here, that means that the height depends on the age. So, the answer is B, since in a sentence structure like so indicates that the second variable is dependent on the first.
Answer: the answer is b
Step-by-step explanation:
can you rate me good
What is the length of PR?
Answers
Angle P and angle Q are the same, which means the two sides PR and QR are the same.
Set the two equations to equal and solve:
5n = 32 +n
Subtract 1n from each side:
4n = 32
Divide both sides by 4:
n = 32 / 4
n = 8
Now we have the value for n, solve for PR.
PR = 5n = 5(8) = 40
90 points? pleaseeee
Answers
Answer:
y = 28 degrees
x = 28 degrees
Step-by-step explanation:
A right angle = 90 degrees
90 degrees - 62 degrees = 28 degrees
This is for both x and y because 62 degrees occupies both the right angles.
Answer:
right angles are 90 degrees
90-62=28
X=28
y=28
I hope this helps!
PLEASE HELP! A zoo feeds it’s monkeys a mixture of fruits and vegetables. The ratio of fruits and vegetable is shown in the diagram.
Answers
Answer:
Part 1) Monkey A [tex]42\ vegetables[/tex]
Part 2) Monkey B [tex]50\ fruits[/tex]
Step-by-step explanation:
Let
x -----> the number of fruits
y ----> the number of vegetables
we know that
The ratio of fruits and vegetables is equal to
[tex]\frac{x}{y} =\frac{5}{7}[/tex]
Part 1) Find the number of vegetables Monkey A
we know that
[tex]\frac{x}{y} =\frac{5}{7}[/tex]
[tex]x=30\ fruits[/tex]
substitute and solve for y
[tex]\frac{30}{y} =\frac{5}{7}[/tex]
[tex]y=30*7/5=42\ vegetables[/tex]
Part 2) Find the number of fruits Monkey B
we know that
[tex]\frac{x}{y} =\frac{5}{7}[/tex]
[tex]y=70\ vegetables[/tex]
substitute and solve for x
[tex]\frac{x}{70} =\frac{5}{7}[/tex]
[tex]x=70*5/7=50\ fruits[/tex]
From the given picture , it can be seen that the ratio of the fruits to the vegetables is 5:7
Let x be the number of vegetables corresponds 30 fruits for Monkey A.
Then , by using proportional relationships between fruits and vegetables , we have :-
[tex]\dfrac{x}{30}=\dfrac{7}{5}\\\\\Rightarrow\ x=\dfrac{30\times7}{5}=42[/tex]
So, the number of vegetables for Monkey A = 42
Let y be the number of vegetables corresponds 70 vegetables for Monkey B.
Then , we have :-
[tex]\dfrac{y}{70}=\dfrac{5}{7}\\\\\Rightarrow\ x=\dfrac{70\times5}{7}=50[/tex]
So, the number of fruits for Monkey B = 50
The table shows values for the functions f(x) and g(x). What are the solutions of X where f(x) = g(x)?
Question 3 options:
x = -1
x = 0
x = 1
x = 2
x = 3
x = 4
x = 5
x = 3
Answers
On the table and x=2 they have the same value of 0
Answer:
0 ,2
Step-by-step explanation:
you are just looking for when f(x) and g(x) hold the same value and what x does it happen at...
so the first time I see it is when f(x) and g(x) are both -3 and that happens at x=0
the next time I see f(x) and g(x) are the same is when they are both 0 and that is at x=2
there are no other times when f(x) and g(x) 's values are the same
find the percent error of the measurement 4cm
Answers
Answer:
The percent error is 12.5%.
Step-by-step explanation:
Please mark brainliest and have a great day!
Answer:
The answer is 12.5%
Hope this helps
-Amelia The Unknown
What is the length of segment XY?
Answers
Answer:
7.28 units to the nearest hundredth.
Step-by-step explanation:
Use the Pythagoras theorem.
If you examine the graph you see that the line segment is the hypotenuse of a right triangle with legs of length 2 and 7.
XY^2 = 2^2 + 7^2
XY^2 = 53
XY = √53
XY = 7.28.
Answer: Third option.
Step-by-step explanation:
You need to use the formula for calculate the distance between two points. This is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
You can observe in the graph that the coordinates of the point X and the point Y are the following:
X(-4,0) and Y(3,2)
Knowing this, you can substitute the coordinates into the formula.
You get that the lenght of the segment XY is:
[tex]d_{(XY)}=\sqrt{(3-(-4))^2+(2-0)^2}\\\\d_{(XY)}=\sqrt{53}\ units[/tex]
This matches with the third option.
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answers
Answer:
71
Step-by-step explanation:
Answer: 107
Step-by-step explanation:
Hi, to answer this we have to write an equation for Colin's score (C) and another equation for Brian's score (B).
Colin scored 36
C =36
Brian scored 35 more than Colin.
B = C +35
Replacing C by 36 in Brian's score equation:
B = (36) +35 = 71
To calculate the combined score we have to add both scores:
C +B = 36 +71 = 107
Help please! What is the answer?
Answers
Answer:
Scale factor is 0.25
Step-by-step explanation:
To find the scale factor, we have to do division of the shorter sides of the first and second rectangle, that is
1.5/6
=0.25
which numbers belong to the sloution set of the ineqaulity?
5x<55
Answers
Answer:
x < 11
Step-by-step explanation:
5x<55
Divide each side by 5
5x/5 < 55/5
x < 11
Any number less than 11 will be a solution
A graph of 2 functions is shown below.
Which of the following is a solution for f(x) = g(x)?
Your answer:
x = −2
x = 1
x = 0
x = −1
Answers
Answer:
x = 1
Step-by-step explanation:
They intersect at ONE point.
Answer:
x=1.
Step-by-step explanation:
f(x) = g(x) in the point where the two graphs intersect. In this case, when x=1 and y=0 both graphs intersect.
A frog (with webbed feet for sticking to a vertical surface) falls into a 6 ft deep hole with vertical sides. As the frog tries to escape, it is able to jump up 3 ft on a jump, but then slides back down 2 ft before it can jump again. If this continues, how many jumps will it take the frog to reach the top of the hole?
Answers
Answer:
4
Step-by-step explanation:
Assuming that the frog is consistent with its performance, the correct answer can be calculated. It can be noticed that the ability to jump upwards is 3 feet and the sliding back down is 2 feet. This means that the gain is greater than the loss. The net gain is 1 foot for each jump. This will continue until the distance of 6 feet has been achieved. It will be: 3 ft - 2 ft = 1 ft (1 jump); 1 ft + 3 ft - 2 ft = 2 ft (2 jumps); 2 ft + 3 ft - 2 ft = 3 ft (3 jumps). At the end of the 3 jumps, the frog has already covered the distance of 3 feet. This means that when the frog jumps from this height, it will achieve the height of 6 feet, by which it will get out of the hole. This means that the frog requires 4 jumps to get out of the tunnel.
Pls help I don’t understand
Answers
Answer:-38
Step-by-step explanation:
Answer:
-38
Explanation:
You're dealing with absolute value. Those little | | (lines) are absolute value. Absolute value is simply the distance of a number on the number line from 0 without considering which direction from 0 the number lies. Absolute value of a number is always positive (never negative). In your case you have to find the absolute value of |-38|, which is 38. Expect your problem includes a negative on the outside of the absolute value making the number a negative again.
-|-38|=?
Get rid of lines and you're left with
-38
Hope this helps a bit,
Flips
SU and VT are chords that intersect at point R. What is the length of line segment VT? 4 units 8 units 13 units 14 units
Answers
Answer:
13 Units-correct on edge
Step-by-step explanation:
The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
Using the intersecting chord theorem:
VR * RT = SR * RU
(x + 1)(x + 4) = x(x + 6)
x² + 6x = x² + 5x + 4
x = 4
VT = VR + RT = x + 1 + (x + 4) = 4 + 1 + 4 + 4 = 13 units
The length of line segment VT in which SU and VT are chords that intersect at point R is 13 units
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