Answers
Explanation:
To do this you will use the hypotenuse formula.
a^2+b^2=c^2
5^2+8^2=c^2 (because those are the other lengths)
25+64=89
Then you find the square root
About 9.4
Related Questions
please help its math!!! will give brainly and more points if correct please I need help
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y+8x=−5
Line 2: x+16y=−5
Line 3: y=−6x−7
Line 4: y+3=18(x−1)
Lines 2 and 3 are perpendicular.
Lines 1 and 2 are perpendicular.
All four lines are perpendicular.
Lines 1 and 4 are perpendicular.
Answers
Answer:
None of the options match
Step-by-step explanation:
First let's check option 1: lines 2 and 3.
line 2 in mx+b form: y=-1/16x -5
line 3, already in mx+b form: y=-6x-7
if it was perpendicular, the slopes should have been -1/16 and 16 or -6 and 1/6.
now for the 2nd option: lines 1 and 2.
line 1 in mx+b form: y=-8x-5
line 2 in mx+b form: y=-1/16x-5
Again, the slopes do not match, they should have been -8 and 1/8 or -1/16 and 16.
For the 3rd option: all lines
this is obviously wrong since lines 1, 2 and 2, 3 are not perpendicular themselves. No need to bother checking this option.
Lastly, 1 and 4.
line 1 in mx+b form: y=-8x-5
line 4 --> y+3=18x-18 --> y=18x-21
This is also wrong since the slopes should have been -8 and 1/8 or 18 and -1/18.
To conclude, I think the answer is none. None of the combinations on here are perpendicular anyways...
Answer:
D
Step-by-step explanation:
We have the four lines:
[tex]\displaystyle\text{Line 1: }y+8x&=-5 \\\\ \text{Line 2: } x+\frac{1}{6}y&=-5\\\\\text{Line 3: } y&=-6x-7 \\\\\text{Line 4: } y+3&=\frac{1}{8}(x-1)[/tex]
Remember that for two lines to be perpendicular, their slopes are negative reciprocals of each other.
So, let’s determine the slope of each line.
For Line 1, we can rewrite our equation as:
[tex]y=-8x-5[/tex]
So, the slope of Line 1 is -8.
We can rewrite Line 2 as:
[tex]\displaystyle \begin{aligned} \frac{1}{6}y&=-x-5\\y&=-6x-30\end{aligned}[/tex]
So, the slope of Line 2 is -6.
The slope of Line 3 is also -6.
And the slope of Line 4 is 1/8.
So, the slopes of perpendicular lines must be negative reciprocals.
The negative reciprocal of -8 (slope of Line 1) is 1/8. We multiply by a negative and then take the reciprocal.
Since the slope of Line 4 is 1/8, this means that Lines 1 and 4 are perpendicular.
For Lines 2 and 3, they have the same slope, not negative reciprocals of each other.
So, they will instead of parallel instead of perpendicular.
And Line 1 is perpendicular only to Line 4, and no other line.
Therefore, our answer is D.
what slope of line passess through 4,1 and -2,-4
Answers
Answer:
A slope..... I can't do math
Step-by-step explanation:
A number increased by fifteen is nineteen. A number increased by fifteen is nineteen.
Answers
Answer:
the number is 4
Step-by-step explanation:
we can write this as
x + 15 = 19
now we transpose
x= 19-15
x= 4
A rectangular carpet has a perimeter of 194 inches. The length of the carpet is 67 inches more than the width. What are the dimensions of the carpet?
Answers
Answer:
The dimensions of the carpet are 15 inches and 82 inches
Step-by-step explanation:
Assume that the width of the carpet is x inches
∵ The width of the carpet is x inches
∵ The length of the carpet is 67 inches more than the width
∴ The length of the carpet is (x + 67) inches
∵ The perimeter of the rectangle = 2(length + width)
∵ The perimeter of the carpet = 194 inches
→ Equate the two right sides of the perimeter
∴ 2(length + width) = 194
→ Divide both sides by 2
∴ length + width = 97
→ Substitute the value of the length and width in the equation above
∵ x + 67 + x = 97
→ Add the like terms in the left side
∴ (x + x) + 67 = 97
∴ 2x + 67 = 97
→ Subtract 67 from both sides
∵ 2x + 67 - 67 = 97 - 67
∴ 2x = 30
→ Divide both sides by 2
∴ x = 15
∵ x represents the width of the carpet
∴ The width of the carpet is 15 inches
∵ The length of the carpet = 15 + 67
∴ The length of the carpet is 82 inches
∴ The dimensions of the carpet are 15 inches and 82 inches
can somebody help me please?
Answers
Answer:
Domain = [tex](-\infty,6)\;\cup\;(6,\infty)[/tex]
Range = [tex](-\infty,1)\;\cup\;(1,\infty)[/tex]
vertical asymptote is at [tex]x=6[/tex]
Step-by-step explanation:
Domain is all the x values, with an asymptote, it is just a line that approaches a number but never reaches it. The vertical asymptote if you look at x, the lines look like the come from infinity on the left and right, try to reach 6 but can't.
So the interval notation for this is the union of all the numbers from negative infinity up to 6 but not including 6, and all the numbers from positive infinity up to 6 but not including 6.Range is all the y values, with an asymptote, it approaches a number but never reaches it. The horizontal asymptote if you look at y, the lines look like the come from infinity on the top and bottom, try to reach 1 but can't.
So the interval notation for this is the union of all the numbers from negative infinity up to 1 but not including 1, and all the numbers from positive infinity up to 1 but not including 1.Charlie weighs 5 times his little sister Tali. If the total weight of both children is at 132 pounds, how much does each child weigh?
Answers
Answer:
5x+x=132
Step-by-step explanation:
132/6=22
22*5=110
Charlie weighs 110 pounds and Tali weighs 22 pounds.
Which of the following functions is quadratic?
Answers
Answer:
A
Step-by-step explanation:
Answer:
a.
Step-by-step explanation:
Dad is 3 times as old as his son Jim. In 20 years, Dad's age will be 12 years less than twice Jim's age. How old is Jim?
14 years old
16 years old
18 years old
20 years old
Answers
The answer is 18 hope you get it right
which one is the correct answer?
Answers
Answer:
D
Step-by-step explanation:
It says not similar
A rectangular prism with a volume of 4 cubic units is filled with cubes with side lengths of 1/3 unit. How many 1/3 unit cubes does it take to fill the prism?
A - 108
B - 36
C - 12
D - 112
Answers
Answer:
your answer would be c hope this helps and if its wrong lmk
Step-by-step explanation:
Which of the following equations could be th equation to represent the given graph? Make sure you explain your answer thoroughly.
Answers
Answer:
Option (C) is correct.
Step-by-step explanation:
The given options of the possible equation for the graph are as follows:
[tex](A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\[/tex]
The given graph is decreasing and at x=0, y=2.
So, first checking the value of the given options for x=0
[tex](A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)[/tex]
As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.
Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.
For option (A),
[tex]\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)[/tex]
As [tex]\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}>0[/tex]
Therefore, the function in option (A) is increasing function.
Similarly, for option (C),
[tex]\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)[/tex]
As [tex]\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0[/tex]
So, [tex]\frac{dy}{dx}<0[/tex]
Therefore, the function in option (C) is decreasing function.
As the given graph is decreasing, so, (C) represents[tex]y=2\left(\frac{2}{3}\right)^x[/tex] the given graph.
Hence, option (C) is correct.
The equation [tex](C) y = 2(\dfrac{2}{3})^{x[/tex] could be the equation to represent the given graph is decreasing.
We have to determine, Which of the following equations could be the equation to represent the given graph.
According to the question,
The given options of the possible equation for the graph are as follows:
[tex](A)y = 2(\frac{3}{2})^x[/tex] [tex](B)y = -2(\frac{3}{2})^{-x}[/tex] [tex](C)y = 2(\frac{2}{3})^{x}[/tex] [tex](D)y = -2(\frac{2}{3})^{-x}[/tex]The given graph is decreasing and at x = 0, y = 2.
Then,
First checking the value of the given options for x = 0.
[tex](A)y = 2(\frac{3}{2})^x = 2(\frac{3}{2})^0 = 2 \times1 = 2[/tex] [tex](B)y = -2(\frac{3}{2})^{-x} = (A)y = -2(\frac{3}{2})^{-0} = -2 \times 1 = -2 (not \ possible)[/tex][tex](C)y = 2(\frac{2}{3})^x = 2(\frac{2}{3})^0 = 2 \times1 = 2[/tex] [tex](D)y = -2(\frac{2}{3})^{-x} = -2(\frac{2}{3})^{-0} = -2 \times1 = -2 (not \ possible)[/tex]For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.
Therefore,
To check the nature (increasing or decreasing) of the given equation by differentiating it.
For function A;[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\[/tex]
Therefore, The function in option A is increasing function.
For function c;
[tex]\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\[/tex]
Therefore, The function in option c is decreasing function.
The given graph is decreasing, so, the function c represents the given graph decreasing.
Hence, option (C) is correct.
To know more about the Graphs click the link given below.
https://brainly.com/question/16351335
what is (3x² + 5x - 9) + (7x² + 2x + 10)?
I will give brainiest to the answer with step-by-step explanation :
Answers
Answer:
10x^2+7x+1
Step-by-step explanation:
Let's simplify this step-by-step.
3x^2+5x−9+7x^2+2x+10
=3x^2+5x+−9+7^x2+2x+10
After, combine like terms. (Simplify the expression)
Here is a step-by-step row.
= 3x^2+5x+-9+7x^2+2x+10
= (3x^2+7x^2)+(5x+2x)+(-9+10)
= 10x^2+7x+1
That is the most simplified form, I hope this helped!
I also adore your profile picture, it's so aesthetic ♡
..you watch anime? if so, me too! here's the answer, 18 :))
step-by-step explanation:
3 + 5= 8
8 - 9= -1
-1 + 7= 6
6 + 2= 8
8 + 10= 18
your answer is 18!!
Find the measure of the unknown angle
Answers
Answer:
97 degrees
Step-by-step explanation:
180 - 83 + 97
Answer:
∠? =97°
Step-by-step explanation:
because the 2 lines are paralel the 83° angle and the missing angle are suplementary angles so they add up to 180°
?= 180-83=97°
Given the arithmetic sequence below, write the general formula in simplified terms and
find the 110th term.
-3,2, 7, 12...
Answers
Answer:
542
Step-by-step explanation:
-3, 2, 7, 12
-3 + x = 2 x = 5
2 + x = 7 x = 5
7 + x = 12 x = 5
If you want to find the 3rd term in the sequence and you start with the first number, then you do this:
-3 + (2 * 5) = -3 + (10) = 7
The same goes for the 110th term:
-3 + (109 * 5) = -3 + (545) = 542
The formula to find the nth term is:
f(n) = n(0) + (n-1) * 5
Suppose n(0) = -3 then
f(110) = -3 + {(110-1) * 5}
f(110) = -3 + {(109) * 5}
f(110) = -3 + (545) = 542
You can simplyfy f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (n-1) * 5
f(n) = n(0) + (5n-5)
f(n) = n(0) + 5n - 5
f(110) = -3 + (5 * 110) - 5
f(110) = -3 -5 + (550)
f(110) = - 8 + 550
f(110) = 542
What is (x+234)(x+8)=10x+2
Solve for x and justify your answer
First one will get brainless if right
Answers
Answer:
x = -8.4 and -223.6
Step-by-step explanation:
I 'foiled' and simplied, then graphed; x-intercepts (listed above) were the x-intercepts
Please help me please
Answers
Answer:
I think this AB would equal 12! Let me know if its right or wrong :3
Step-by-step explanation:
what is the best answer for the equation -15=-6r+r
Answers
Answer:
r = 3
Step-by-step explanation:
First, add r to -6r, then divide both sides by -5.
~theLocoCoco
i need help on this question please hurrrrrrryyy
Answers
Answer:
0
Step-by-step explanation:
They all seem to be plotted correctly in accordance with the graph
Find $m\angle LKM$ .
Answers
Answer:I need a picture or numbers to answer
Step-by-step explanation:
The length of a rectangle is 4 more than the width. If the perimeter is 36 inches, what’s the width and length of the rectangle?
Answers
Answer:
7 inches
Step-by-step explanation:
Answer:
The width and the length of the rectangle is...
Step-by-step explanation:
If we are looking at the total Perimeter of the rectangle, which is 36 inches, then we have to take in the information of the '4 more than the width'. so we need to think of the numbers that would make sense in this scenario. the formula to solve this would be:
w + (l + 4 ) x 2 = 36
So we would need to look at the different scenarios that don't go over 18.
if the width = 7
and the length = 11
7 + 11 = 18
18 x 2 = 36.
Sandra wants to buy some t-shirts online that cost $14 each, and the shipping cost is $23. She has $65 to spend.
How many t-shirts did Sandra purchase?
(this is two-step equation math)
Answers
Answer:3
Step-by-step explanation: it’s exactly 3
Sandra purchased three t-shirts
65-23=42
42/3=14
HURRY I NEED HELP ASAP question: The name used to represent 1,000 liters is the
Answers : kiloliter, centiliter, or milliliter.
Answers
Answer:
KILOLITER
Step-by-step explanation:
Answer milliletres
Step-by-step explanation:
Brainliest for the correct answer 20 points!!!
Answers
Answer:
y = -3/2x + 3
Step-by-step explanation:
Answer:
y= 3 - 2x
Step-by-step explanation:
HELP ASAP!!
geometry
Answers
Answer:
Step-by-step explanation:
Y+6=3y-30
Subtract y from the left
6=2y-30
Add 30 to both sides
36=2y
Divide by 2
18=y
2x+29=4x-47
Subtract 2x
29=2x-47
Add 47
76=2x
Divide by 2
38=x
Which will help you when you file a claim for home insurance?
A. home loan
B. home budget
C. home inventory
Answers
Answer:
C. Home inventory
Step-by-step explanation:
PLS HELP ME 5.7 + (3z + 0.3)
Answers
Answer:
3z + 6
Step-by-step explanation:
5.7 + (3z + 0.3) =
= 5.7 + 3z + 0.3
= 3z + 6
Is 0 a real number? Why or why not
Answers
Answer:
The number 0 is both real and imaginary. ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Step-by-step explanation:
so i would say no but thats for you to decide
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Answers
Answer:
Slope: -4
Y-intercept: 5
Step-by-step explanation:
The slope goes down 4 and over one which means that the slope is -4.
When X is 0, Y is 5
Good Luck!!
Please help! Based on the picture above, select the correct angle pair for 3 and 5
Answers
Answer:
it e
Step-by-step explanation:
thats a tranversal and alternative exterior angles are angles on the opposite sides if a tranversal.
Which expression is NOT equivalent to 56x + 28?
1- 4 ( 14x + 7)
2- 7 (8x+4)
3- (28x + 14) 2
4- (7x + 3) 8
PLEASE ANSWER FAST MY BDAY IS TOMORROW AND IF I DONT PASS THIS TEST I WONT GET MY RAMEN SO PLEASE
Answers
Answer:
the answer is D. [tex](7x + 3) 8[/tex]
Step-by-step explanation:
hope this helps :)