The first mistake is that she didn't use parenthesis to indicate we're dividing all of one thing (numerator) over all of another expression (denominator)
slope = rise/run = numerator/denominator
So she should write (17-4)/(1-8) to indicate all of "17-4" is divided over all of "1-8"
However, there's another error that your teacher is probably more focused on. Note how 17-4 represents subtracting the y coordinates from left to right. We start with the left point y coordinate 17 and subtract off the right point y coordinate 4
left y - right y = 17 - 4
But then the student swaps the order when they wrote 1-8. Instead it should be 8-1
-----------------
Here's what they should have written (17-4)/(8-1)
This is the same as (4-17)/(1-8)
We can subtract in any order as long as it stays consistent between the numerator and denominator
HELP ASAP
What is the distance, in units, between the points [tex](-3, -4)[/tex] and [tex](4, -5)[/tex]? Express your answer in simplest radical form.
Answer:
d=5√2 unit
Step-by-step explanation:
distance between two points d=√(x2-x1)²+(y2-y1)²
two pints (-3,-4) and (4,-5)
d=√(4-(-3)²+(-5-(-4)²
d=√(4+3)²+(-5+4)²
d=√49+1
d=√50
d=√25*2
d=5√2
Answer
[tex] \boxed{5 \sqrt{2} \: \: \:units}[/tex]
Step by step explanation
Let the points be A and B
A ( - 3 , - 4 ) ⇒( x₁ , y₁ )
B ( 4 , - 5 )⇒( x₂ , y₂ )
Now, let's find the distance between these points :
Distance = [tex] \mathsf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
Plug the values
⇒[tex] \mathsf{ \sqrt{ {(4 - ( - 3))}^{2} + {( - 5 - ( - 4))}^{2} } }[/tex]
Calculate
⇒[tex] \mathsf{ \sqrt{ {(4 + 3)}^{2} + {( - 5 + 4)}^{2} } }[/tex]
⇒[tex] \mathsf{ \sqrt{ {(7)}^{2} + {( - 1)}^{2} } }[/tex]
Evaluate the power
⇒[tex] \mathsf{ \sqrt{49 + 1} }[/tex]
Add the numbers
⇒[tex] \mathsf{ \sqrt{50} }[/tex]
Simplify the radical expression
⇒[tex] \mathsf{5 \sqrt{2} \: \: units}[/tex]
Hope I helped!
Best regards!!
find the sum of 56, the product of 18 and - 3 and the positive difference between 52 and 29.... PLEASE
Answer:
25
Step-by-step explanation:
product of 18 and -3=18*-3= -54
positive difference=52-29=23
(18x-3)+56+(52-29)
= -54 + 56 + 23
=25
Helpppp pleaseee!!! Thank you
A man bought a car for 5500 cedis and sold it for 6500 cedis .find the percentage gain
Answer:
Around 18.18%
Step-by-step explanation:
We can use the percentage increase formula to find the gain here. The formula goes:
[tex]\frac{new-original}{original}\cdot100[/tex].
We know that the new value is 6500, and the old value is 5500, so we can substitute inside the equation.
[tex]\frac{6500-5500}{5500}\cdot100\\\\\frac{1000}{5500}\cdot100 \\\\0.\overline{18} \cdot100\\\\18.\overline{18}[/tex]
Which rounds to 18.18%.
Hope this helped!
In ATUV, Y is the centroid. If TY = 30, what is YW?
A.15
B.45
C.30
D.60
We know at centroid medians bisect each other in the ratio 2:1.
TY=30Let YW be x[tex]\\ \sf\longmapsto TY=2x[/tex]
[tex]\\ \sf\longmapsto 2x=30[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{30}{2}[/tex]
[tex]\\ \sf\longmapsto x=15[/tex]
Answer:
A
Step-by-step explanation:
On the median TW the distance from the vertex to the centroid is twice the distance from the centroid to the midpoint , then
YW = [tex]\frac{1}{2}[/tex] × TY = [tex]\frac{1}{2}[/tex] × 30 = 15
solve the following (x-2)+4=3x-2
Answer:
[tex]\boxed{x = 2}[/tex]
Step-by-step explanation:
Hey there!
To find x we need to finagle it out by combining like terms and using the communicative property.
x - 2 + 4 = 3x - 2
Simplify
x + 2 = 3x - 2
-x to both sides
2 = 2x - 2
+2 to both sides
4 = 2x
Divide both sides by 2
x = 2
Hope this helps :)
Answer:
Hey there!
(x-2)+4=3x-2
x-2+4=3x-2
x+2=3x-2
4=2x
x=2
Hope this helps :)
Tim has an after-school delivery service that he
provides for several small retailers in town. He
uses his bicycle and charges $1.25 for a delivery
made within 1 mi, $1.70 for a delivery of at
least 1 mi but less than 1 mi, $2.15 for a
delivery of at least 1. mi but less than 2 miles,
and so on. If Tim raised his rates by 10%, what
would he be paid to deliver a package 35
miles?
Answer:
Step-by-step explanation:
tim has an after school delivery service that he provides for several small retailers in town. he uses his bicycle and charges $1.25 for a delivery made within 1 1/2 miles, $1.70 for a delivery of at least 1 1/2 miles but less than 1 3/4 miles. $2.15 for a delivery of at least 1 3/4 miles but less than 2 miles, and so on. if tim raised his rates by 10%, what would he be paid to deliver a package 3 1/8 miles.
Answer:
From the question asked the cost of additional 1/4 mile (1 3/4 - 1 1/2) is $0.45 ($1.7 - $1.25). If the rate is increased by 10% (0.1), the new price for an additional 1/4 mile would be 1.1 (1 + 0.1) × 0.45 = $0.495.
Tim new charge rate are as follows:
$1.25 for a delivery made within 1 1/2 miles
$1.745 for a delivery of at least 1 1/2 miles but less than 1 3/4
$2.24 or a delivery of at least 1 3/4 miles but less than 2
$2.735 or a delivery of at least 2 miles but less than 2 1/4
$3.23 or a delivery of at least 2 1/4 miles but less than 2 1/2
$3.725 or a delivery of at least 2 1/2 miles but less than 2 3/4
$4.22 or a delivery of at least 2 3/4 miles but less than 3
$4.715 or a delivery of at least 3 miles but less than 3 1/4
Since 3 1/8 is within 3 miles and 3 1/4 miles, Tim would charge $4.715 to deliver a package 3 1/8 miles.
Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).
Answer:
-3
Step-by-step explanation:
for this function you have to replace -1 were there's x in the function h(x)=2x-1
h(-1)=2(-1)-1
=-2-1
=-3
hope this helps
Change histul
bols
A store pays two fees when a customer uses a credit card to make a purchase. These fees include:
A flat fee of $0.15
A processing fee equal to 1.75% of the dollar amount of the purchase
There is no sales tax on the purchase.
What is the amount, in dollars and cents, the store pays in fees for a $60.00 purchase by a customer using a credit
card?**
Answer:
So the amount to pay is $1 and 20 cents ( or a total of 120 cents)
Step-by-step explanation:
Here, we want to know the amount paid as fees for a $60 purchase given that the store has to pay a flat fee of $0.15 and a processing fee of 1.75% of the amount of purchase.
Firstly, we establish that there are two fees to be paid.
We already have a fee of $0.15
The other fee to pay is 1.75% of $60
Mathematically that would be;
1.75/100 * 60 = $1.05
Thus, the fees to be paid on the $60 purchase is $1.05 + $0.15 = $1.20
Dont give me wrong answers. please help though.
Answer:
24 in^3
Step-by-step explanation:
Volume of the figure= 3 * (Volume of a cube with side 2)
Volume of the figure= 3*2^3=24 in^3
Answer:
24 cubic inches
Step-by-step explanation:
The formula for finding volume is b*h*w.
b*h*w is base multiplied my height multiplied my width. Lets use this formula to find the volume of one of cubes.
Here is the information we know about the cubes:
the base is 2 inches
the height is 2 inches
the width is 2 inches
Lets put this information into the formula to find the volume of one of the cubes. I will show the work in steps so it is easy to follow.
Step one: plug the given information into the formula.
b*h*w = 2*2*2
Step two: Solve the equation.
2*2*2 = 4*2 = 8
Now we have the volume of one on the cubes. This is 8 cubic inches. However, to find the volume of all three of the cubes we must multiply 8 by 3.
Step three: multiply 8 by 3.
8*3 = 24
And there you have it! Our final answer is 24 cubic inches.
Here is a quick review of what we did to get our answer:
2*2*2 = 8
8*3 = 24
I hope this helps!
Write the equation of the line that is perpendicular to y = 2x + 17 and contains the point (8-1).
Answer:
y= -1/2x + 3
Step-by-step explanation:
A line that would be perpendicular to y=2x+17, means that the line has a negative reciprocal slope. So because the slope is 2 in the original equation, -1/2 would be the slope of the new line
so now, plug in the point (8, -1) into the point-slope formula
y-y1=m(x-x1)
y1= -1
x1= 8
m= -1/2
So,
y- -1= -1/2(x-8)
y+1=-1/2x + 4
Subtract 1 from both sides
y=-1/2x+3
3x + 5y = 8
-9x - 15y = - 24
ayudeneme con esta ecuacion de igualacion
Answer:
así que para el primero simplemente ignora la x y la y porque cinco y tres son ocho y lo mismo con el segundo problema es igual a lo que dice
Step-by-step explanation:
de nada!!!
Please solve these questions on the topic of exponents
Answer/Step-by-step explanation:
Recall: [tex] x^{-a} = \frac{1}{x^a} [/tex]
a. [tex] 4^{-3} = \frac{1}{4^3} = \frac{1}{64} [/tex]
b. [tex] 13^{-2} = \frac{1}{13^2} = \frac{1}{169} [/tex]
c. [tex] (-3)^{-2} = \frac{1}{-3^2} = \frac{1}{9} [/tex]
=
-x- 2x + 1 on the interval from
What is the average rate of change of the function g(x)
X = 2 to x = 6?
Pleaseeeee help
Answer:
X = 2 is your answer
hope this will help you
Answer:
x=2
Step-by-step explanation:
the product of 5 and z
Answer:
5z
Step-by-step explanation:
As product = multiplication =>
5 x z --> 5(z)
[tex]\text{Find the product of 5 and z}\\\\\text{The key term in this questions is product, and in math it translates to}\\\text{the answer when multiplled}\\\\\text{In this case, you would multiply them together to get your "product"}\\\\\text{Solve:}\\\\5\cdot z\\\\\boxed{5z}[/tex]
Which of the following numbers belongs in the solution for 5x > 2x + 7?
(A) -1
(B) 0
(C) 1
(D) 2
(E) 3
Answer:
?
Step-by-step explanation:
how do u get that answer.
The graph of g(x) is a translation of the function f(x)=x^2. The vertex of g(x) dislocated five units above and seven units to the right of the vertex of f(x). which equation represents g(x)
[tex]f(x)[/tex] passes through origin, i.e. $(0,0)$
if you move 5 units up, it should pass through $(0,5)$
so you'll add 5 to $y$ i.e. $y+5=x^2$ this satisfies $(0,5)$
and to move right, it should pass through $(7,0)$ so you'll subtract $7$ from $x$ i.e. $y=(x-7)^2$
now combine both translations
$g(x)=(x-7)^2-5=x^2-14x+45$
a rectangular garden is 52m long and 34m broad a path 2m wide is running inside the garden calculate the cost of travelling the path at rs 40 per sq metre snd calculate the cost of covering the empty space with tires at rs 20 per sq metre
Answer:
Answer From Gauth Math
Step-by-step explanation:
Which correlation best describes the data below.
Answer:
Weak negative correlation
A number rounded to the nearest hundred thousand is 400,00. The same number rounded to the nearest ten thousand is 350,000. What could be the number?
Answer:
the number could be between 350,000 and 354,999
Step-by-step explanation:
when calculating to the nearest hundred thousand
for instance, your number is in this format abc,def, the hundred thousand place is determined by "b".
So if the value of b is over 5, when approximating, 1 is added to a.
if the value of b is below 5, when approximating, 0 is added to a.
Therefore, 354,999 to the nearest hundred thousand is 400,000
when calculating to the nearest ten thousand
for instance, your number is in this format abc,def, the ten thousand place is determined by "c".
So if the value of c is over 5, when approximating, 1 is added to b.
if the value of c is below 5, when approximating, 0 is added to b.
Therefore, 354,999 to the nearest ten thousand is 350,000
Give an actual answer please
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 + 28x + 49 square feet, what is the length of one side of the room?
(7x + 2) feet
(2x + 7) feet
(2x − 7) feet
(7x − 2) feet
Hello There!!
Your best answer choice will be is A.
(2x + 7) feet.
Because, All you have to do for this problem is factor the equation. I would be hard to explain on this so I recomment you watch a video on it. If you did not know how to factor, you could have muliplied each of the answers by themselves to determine the correct answer because it is a square.
Hope This Helps!!
Answer:
(2x+7)
Step-by-step explanation:
4x^2 + 28x + 49
This is a perfect square trimonial
a^2 + 2ab + b^2 = (a+b)^2
(2x)^2 + 2 * 2x*7 + 7^2
( 2x+7)^2
Anna and Damien still haven't finished inventory for their pet store. They just received a shipment of 4 chinchillas. They already had 3 cages with 4 chinchillas in each. What expression shows Anna and Damien how many chinchillas they have now?
Answer:
16!
Step-by-step explanation:
4 x 3 = 12 + 4 = 16
Pls pls pls help me
Answer:
48
Step-by-step explanation:
AC = 10
DC² = 10² - 6² = 64
DC = 8
[tex]A_{ABCD}[/tex] = 6 × 8 = 48
(3 x 5) x 2 = 3 x ( blank x 2 )
Answer:
the answer is 5 for blank
Step-by-step explanation:
30=6×blank
blank = 30÷6
blank= 5
On the following number line, two rational numbers are graphed. Represent the two numbers as fractions (or mixed numbers) in lowest terms, and write two different expressions to represent the difference between them. Then, find the difference, showing all of your work.
Answer:
see explanation
Step-by-step explanation:
point on left is -1 and 3/6 = -9/6 = -3/2
point on right is 5/6
Difference 5/6 - -3/2 = 14/6 = 7/3
Which property of multiplication is shown?
g · (h · j) = (g · h) · j
Hi there!
»»————- ★ ————-««
I believe your answer is:
Associative Property
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
The associative property would allow us to group numbers in any combination without changing the value of the product.In other words, the order of how three or more numbers are multiplied would not matter.⸻⸻⸻⸻
[tex]\boxed{\text{Example:}}\\\\3*(4*5) = (3*4)*5\\----------------\\\rightarrow 3 * (20) = (12) * 5\\\\\rightarrow \boxed{60=60}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Which of the following best describes the graph shown below?
16
A1
1
14
O A This is the graph of a linear function
B. This is the graph of a one-to-one function
C. This is the graph of a function, but it is not one to one
D. This is not the graph of a function
The vertical line test helps us see that we have a function. Note how it is not possible to draw a single straight line through more than one point on the curve. Any x input leads to exactly one y output. This graph passes the vertical line test. Therefore it is a function.
The function is not one-to-one because the graph fails the horizontal line test. Here it is possible to draw a single straight horizontal line through more than one point on the curve. The horizontal line through y = 2 is one example of many where the graph fails the horizontal line test, meaning the function is not one-to-one.
The term "one-to-one" means that each y value only pairs up with one x value. Here we have something like y = 2 pair up with multiple x values at the same time. This concept is useful when it comes to determining inverse functions.
pls answer pls pls pls
= 3×4+3×3-5×2/12
=12+9-10/12
=21-10/12
=11/12
if the mean of 3 2 x 11 13 14 is 8 find the value of x
Answer:
x=5
Step-by-step explanation:
To find the mean, add up all the numbers and then divide by the number of numbers
(3+ 2+x+ 11+ 13+14)/6 = 8
Multiply each side by 6
(3+ 2+x+ 11+ 13+14) = 48
Combine like terms
43+x = 48
Subtract 43 from each side
x =5
Answer:
[tex]\huge \boxed{{x=5}}[/tex]
Step-by-step explanation:
The mean is the average value of a data set.
[tex]\displaystyle \sf mean = \frac{sum \ of \ terms}{number \ of \ terms}[/tex]
The mean is given solve for x.
[tex]\displaystyle 8 = \frac{3+2+x+11+13+14}{6}[/tex]
Multiply both sides by 6.
[tex]\displaystyle 8(6) = \frac{3+2+x+11+13+14}{6} \times (6)[/tex]
[tex]48=3+2+x+11+13+14[/tex]
Combine the numbers on the right side of the equation.
[tex]48=x+43[/tex]
Subtract 43 from both sides.
[tex]48-43=x+43-43[/tex]
[tex]5=x[/tex]
Find the value of cotA x sinA x secA.
Answer:
The value = 1
Step-by-step explanation:
Here in this question, we are interested in calculating the product of the trigonometric identities given.
To adequately calculate this correctly, we shall need to express the trigonometric identities in their normal division form which is as follows ;
Mathematically;
cotA = 1/tanA
let’s leave sin A
sec A = 1/cos A
So inputing the values of the following, we have ;
1/tan A * sin A * 1/cos A
This can be written as;
1/tan A * sin A/cos A
Mathematically; sinA/cos A = tan A
making that substitution, we have;
1/tan A * tan A
= tan A/tan A = 1