Hi, I'm happy to help!
To solve this, we need to find the distance in x coordinate values, y coordinate values, then use the Pythagorean Theorem to solve for the distance.
First, let's find the distance in x coordinate values. Our first x coordinate value is -6, and our second is 2. From here, we subtract.
-6-2=-8
Since we have a negative number, we use absolute value, which says how far the number is from 0.
I-8I
8
The distance in x coordinate values is 8.
Next, we find the distance in y coordinate values. our first y coordinate is -5, and our second is 0, now, let's subtract.
-5-0=-5
I-5I
5
The distance in y coordinate values is 5.
From here, we use the Pythagorean Theorem, which states that a²+b²=c².
This has to do with right triangles. Think about drawing a line down to the y coordinate of the other point, then to the x coordinate. Now, drawing a line straight from point to point. Now, you have a right triangle, and we are trying to find c, the direct distance of the line going from point to point. Let's say that our x distance is a, and our y distance is b.
Let's plug in the values:
8²+5²=c²
64+25=c²
89=c²
To find c, we need to find the square root of 89.
√89=c
9.433981132...=c
Since this number goes on forever, we need to round.
Rounding to the nearest thousandth:
9.434
Nearest hundredth:
9.43
Nearest tenth:
9.4
Depending on what the question asks, use one of these values.
To conclude, The distance between the two points is about 9.43 units.
I hope this was helpful, keep learning! :)
What is the coefficient of y? – 5x + 6y
Answer:
Five and six is the coefficient
What type of number is the square root of 5?
Answer:
That is called an 'irrational algebraic number'
Hope this helps!! :)
A force of 125 newtons stretches a spring 0.15 meters. What force is required to stretch it 0.25 meters??
show procedure
Answer:
Step-by-step explanation:
A spring has a force formula of F = k*x
f = 125 N
x = 0.15 m
125 = k*0.15
k =833.33
F = ?
k = 833.33
x = 0.25 m
F = 833.33 * 0.25
F = 208.33 N
You could do this without solving for k
F1/F2 = x1/x2
F1 = 125 N
F2 = ?
x1 = 0.15
x2 =0.25
125 / F2 = 0.15 / 0.25 Cross multiply
125 * 0.25 = 0.15 * F2 Divide by 0.15
125*0.25 /0.15 = F2
F2 = 208.33 just as you got above
List all the intercepts for the graph shown and determine whether the graph is symmetric with respect to he x-axis, y-axis, origin, or none of these.
X-int: (___,0).
Y-int: (0,___).
Is it symmetric about the x-axis: yes/no
Is it symmetric about the y-axis: yes/no
Is it symmetric about the origin: yes/no
Solve the equation. Provide your answer as a simplified fraction or round to the nearest hundredth, if necessary.
(-3/2)(4x + 2) + 2x = -30
x = _______ ?
Answer:
[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]
Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.
a.
$7.54
b.
$65.37
c.
$75.37
d.
$75.40
Please select the best answer from the choices provided
A
B
C
D
Answer:
(c) $75.37
Step-by-step explanation:
SStax = GrossPay * SSrate
SStax = 1215.60 * 6.2%
SStax = 1215.60 * 0.062
SStax = 75.37
which of the following functions is graphed below?
The correct answer is option (D).
To find from graph below which functions.
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points.
First at the left side of the graph. The shape that it is an [tex]x^{3}[/tex] function. also the filled in circle means inclusive. so that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less than or equal to is the last one, D. To look at the right side that it is open circle. It is >.
So, the answer is Option (D).
Learn more about co-ordinate geometry here:
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what are the steps in order needed to solve 3x+4=13
pls help
Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!
Answer:
12. (2, -3)
13. AH: +15 B: +721 CB: 0 N: +462 WB: -1200
Step-by-step explanation:
12.
When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).
The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).
13.
All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.
Arrow head: +15 (since it is 15 feet above sea level)
Woven basket: -1200 (since it is 1200 feet below sea level)
Select the equivalent expression.
5
23
=?
42
Choose 1 answer:
A
44
215
410
46
47
Answer:
The choose B.
[tex] \frac{2^{15} }{ {4}^{10} } [/tex]
I hope I helped you^_^
Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x^2 Find F{G[H(2)]}. 27 71 121
Answer:
27
Step-by-step explanation:
H(2)=2^2=4
G(H(2))= 3(4) +2=14
F(G(H(2)))=2(14)-1=27
PLEASE HELP ASAPPPPPPPPPPPPPPP
Answers:
a) -3b) 7/3c) -1/2d) 1/11e) undefinedf) 0d) 2/3========================================================
Explanation:
If the original slope is a/b, then the perpendicular slope is -b/a
We flip the fraction and we flip the sign from positive to negative, or vice versa.
As an example, the slope 1/3 flips its fraction to 3/1 or just 3. Then we flip the sign to -3. So if the original slope is 1/3, then its perpendicular counterpart is -3.
Notice how the two slopes multiply to -1
(1/3)*(-3) = -1
This applies to any pair of perpendicular lines such that neither line is horizontal and neither line is vertical either.
------------------------
If the original slope is some whole number, then rewrite it as a fraction over 1
Example: 2 becomes 2/1
That way we can flip the fraction and the sign
-------------------------
If we had an original slope of 0, then it's the same as 0/1
Flipping the fraction leads to 1/0, but that's undefined. We cannot divide by zero. So that explains the answer to part e).
Going in reverse of this process, any line with undefined slope will be perpendicular to lines of slope 0.
horizontal lines have slope of 0
vertical lines have undefined slopes
-------------------------
For part g), you'll need to convert from a mixed number to an improper fraction
Use this formula
a & b/c = (a*c + b)/c
So this means,
1 & 1/2 = (1*2 + 1)/2 = 3/2
which leads to
-1 & 1/2 = -3/2
Then applying the rule "flip the fraction flip the sign" gets us from -3/2 to 2/3.
pls hurrryyyyyyy #42 only and show work
Answer:
x = 70
Step-by-step explanation:
50 + x + 2x + 100 = 360
Combine like terms
3x + 150 = 360
Subtract 150 from both sides
3x = 210
Divide both sides by 3 to isolate x
x = 70
a shopkeeper sold 16 articles for a total of £400 and made a profit of £48.00 how much did each article cost him
sin t sin 3t sin 5t = 1/4(-sin t + sin 3t +sin 7t - sin 9t).
Recall that
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
and by subtracting the first equation from the second, we get
cos(a - b) - cos(a + b) = 2 sin(a) sin(b)
So, we can write
sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))
and expanding the left side in the original equation gives
sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)
… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)
Similarly, recall that
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
===> sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
Then
cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))
and
cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))
So we have
sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)
… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))
… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)
… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))
as required.
In 3 years time Sarah will be twice as old as Emma was last year .Emma now 11 years how old is Sarah
Answer:
Sarah is 25 years old
Step-by-step explanation:
Answer:
Step-by-step explanation:
The cost of renting the Party Barn is $150 flat fee plus an additional $50 per hour. Manny can spend up to $325 to rent
the Party Barn for his birthday party. What are the possible hours that Manny could rent the Party Barn?
How can the word "LEO MESSI" be arranged so that the vowels do not stay together?
Answer:
"ELO MESSI"
Step-by-step explanation:
Hope it helps
write an expression that means the same as the sentence. "the sum of sixteen and g is equal to seventy divided by seven. "
Please no links because they dont work :).
Answer:
C
Step-by-step explanation:
Factor: Something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression. For example, the expression 7x(y+3) has three factors: 7 , x , and (y+3) .
pls answer fast I will give you hundred points
Someone help me please
Answer:
option a
Step-by-step explanation:
all positive real numbers
PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST
Answer:
OPTION A:
SEE IMAGE FOR SOLUTION
an elevator in a tall building goes up 7 floors, then down 9 floors, down 4 floors, up 8 floors, anddown 2 floors. now it is on floor 14 on what floor did the elevator start
Answer:
It started on the same floor, floor 14
Step-by-step explanation:
if it went up 7 then down 9, so negative 2 kinda, then down another 4, so negative 6, then up 8 so positive 2, then down 2, it would've started on floor 14
Answer:
14
Step-by-step explanation:
Let the floor started be 'x'
Equation:-
=> x + 7 - 9 - 4 + 8 - 2= 14
x + (+7) + (-9) + (-4) + (+8) + (-2) = 14
x + 7 - 9 - 4 + 8 - 2 = 14
x + 15 - 15 = 14
x = 14
Therefore, elevator started from 14th level.
Question 2
Which results in a net value of 0?
O John has $25 and spends $10
O John gives away 4 out of 5 of his canned sodas
O John buys a shirt for $20 and returns it for a refund of $20
O John makes $8 but owes Tracie $5
If ST= 16 and RT= 69, find RS.
Form a linear equation for the given statement and draw its graph:
Taxi fare for the first km is charged at Rs 20 and Rs 10 is charged for another extra
1 km.
Step-by-step explanation:
See the image for solution
Hope it helps
Have a great day
What do you start with?
6(3+8n)=210
Answer:
PEMDAS
a
r
e
n
t
h
e
s
e
s
Step-by-step explanation:
in pemdas parenthesis are always first so start with the parenthesis and you should get an answer of N=4
What is 127 divided by 4
The value of expression 127 divided by 4 would be; 31.5
When 'a' is divided by 'b', then we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the expression of 127 divided by 4.
A negative divided by a negative is positive, then;
Therefore, 127 ÷ 4 = 31.5
Therefore, The value of expression 127 divided by 4 would be; 31.5
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A bakery van has an original value of $40,000. The van is depreciating at a rate of 9% each year. About
how much will this van be worth 5 years later?
Answer:
$22,000
Step-by-step explanation:
9 percent of 40000 is 3600
it depreciates for 5 years so times 5 which gives us 18000
now subtract this amount from its original value and you get 22,000