Slope = (y₂ - y₁) ÷ (x₂ - x₁)
= (-85 - (-83)) ÷ (-11 - 75)
= -2 ÷ -86
= ¹/₄₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y - (-83) = ¹/₄₃ (x - 75)
⇒ y + 83 = ¹/₄₃ (x - 75)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
Here is a scale drawing of a garden.
Tom wants to plant a tree in the garden according to the following rules:
it must be 4 m from A and 2 m from CD.
Place a cross where Tom can plant the tree.
The location of the tree can be found by taking point A as the origin of
coordinate plane, represented by the drawing area.
Response:
The the graph showing the location where Tom can plant the tree is attached.Method used to find the location for planting the treeThe area Tom wants to plant the tree in the garden is given by the following rule;
Distance of the tree from A = 4 m
Distance of the tree from CD = 2 m
1 cm in the scale drawing = 2 m
Solution:
Taking point A as the origin, we have;
The location of the tree from point A is given by the radial length, r = 2 cm.
The distance of the tree from the line CD is given by the line, y = 1.5 cm,
given that 1 cm from CD = 1.5 cm from point A
Therefore, we have;
The y-coordinate of the location of the tree is; y = 1.5Equation of the circular distance from A is; x² + y² = r²Where;
r = 2
y = 1.5
We have;
x² + 1.5² = 2²
x² = 2² - 1.5² = 1.75
x = √(1.75)The coordinate of the location of the tree from A is; (√(1.75), 1.5) Please find attached, the graph showing the location where Tom can plant the tree in relation to point A.
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HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent
A.subsitiuting any value of x makes the expressions equivalent
B. Both expressions involve addition
C. The expressions name the same number regardless of the value of x
D. 2(x +1) can be rewritten as 2x + 2 using the distributive property
Answer:
B. Both expressions involve additionStep-by-step explanation:
A. Substituting any value of x makes the expressions equivalent
FalseB. Both expressions involve addition
True. Both expressions involve multiplication tooC. The expressions name the same number regardless of the value of x
FalseD. 2(x +1) can be rewritten as 2x + 2 using the distributive property
FalseFactor the expression x^2+9+8
Answer:
2+17
x^{2}+17
x2+17
Step-by-step explanation:
Answer:
[tex](x+1)(x+8)[/tex]
Step-by-step explanation:
Hi there!
[tex]x^2+9x+8[/tex]
We must ask ourselves: What two factors of 8 add up to 9? That would be 1 and 8.
1 × 8 = 8 and 1 + 8 = 9.
Rewrite the expression accordingly:
[tex](x+1)(x+8)[/tex]
I hope this helps!
What does the y-intercept represent in this situation? The weight of oats, in pounds, in the final mixture. The weight of hay, in pounds in the final mixture. The amount of protein the feed has if no oats are added. The amount of protein the feed has if no hay is added.
Your welcome!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The y-intercept in the situation given represents: C. The amount of protein the feed has if no oats are added.
What is the Y-intercept of a Linear Function?The y-intercept of a linear function is the initial value or the value of y when x equals 0.
The initial value in this situation is the amount of protein in the feed when the amount of oats added is 0.
Therefore, the y-intercept represents: C. The amount of protein the feed has if no oats are added.
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PLZ HELP ME!!!!!!!!!!!!!!!!!!!!!!
Answer:
i have no idea what this question is asking for but my guest is that you need to reformate the equations
-5x+y=-11 in y+mx+b format is y=5x-11
x-y=7 in y=mx+b formate is y=-x+7
Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
In pic
20% tip on a bill of $22.41
Answer:
5 people - Tip per person = $0.90
Total per person = $5.39
10 people - Tip per person = Tip per person $0.45
Total per person = $2.70
Answer: the answer is $4.49 because if your bill is 22.41 and you divide that by 20 its 4.482 so then you add the 2 to the 8 which is 9 so 4.49
There are 153 millimeters of juice in 1 carton. A three-pack of juice boxes contains a total if 459 millimeters. A. Estimate, and then find the actual total amount of juice in 1 carton and in a three-pack of juices boxes.
Answer:
1 juice boxes = 153 millimeters
459 ?
3 juice boxes = 459 millimeters
Step-by-step explanation:
Find the measure of the missing angle.
30°
a=
Answer:
the measurement of a is 60°............
Answer:
A=60
Step-by-step explanation:
it adds up to 180 so subtract 30 and 90 for the right angle and you got 60
An electrician charges a
service fee of $89 plus an
hourly rate of $35.
Identify the y-intercept
in this linear equation.
HELPP.
Answer:
89
Step-by-step explanation:
The y intercept is the value when x = 0
Even when you have 0 hours you still have to pay the service fee
The equation is
y = 35x+89
The y intercept is 89
GIVING BRAINLIST!! PLS ANSWER
Trina is buying 12 shirts for the drama club.She will choose a style for the blank shirts and then pay additional charge of $2.75 for each shirt to have the club logo. If Trina cannot spend more than $99, how much can she spend on each blank shirt? Write and solve an inequality to find the possible cost of each blank shirt.
Answer:
The most she can spend on each blank shirt is $5.50.
Step-by-step explanation:
In order to set up the inequality, we need to write an expression for the total cost of each shirt wherein the price of each blank shirt is "x". Tina needs to buy 12 shirts and there is an additional charge of $2.75 for each logo. The total cost needs to be less than or equal to $99.
This gives us 12 * (x + 2.75) ≤ 99
We can then distribute:
12x + 12 * 2.75 ≤ 99
12x + 33 ≤ 99
Then subtract 33 from both sides:
12x ≤ 66
And finally divide by 12 on both sides:
x ≤ 5.5
Answer:
Step-by-step explanation:
12x + 2.75*12 < 99 Combine 12 * 2.75
12x + 33 < 99 Subtract 33 from both sides
12x < 99 - 33 Combine
12x <66 Dive by 12
x < 66/12
x < 5.50
The very most she can spend is 5.50 on each shirt. Actually it should be 5.49 which will be less than 99. It will come to 65.88 which is just 12 cents less than 99, but it answers the problem. The problem does not use less than or equal which would mean that 99 is the answer ≤
The ratio of boys to girls in Mr. Baker’s social studies class is 2 to 3. If there are 30 total students in the class, how many more girls are in the class than boys?
Answer:
There would be 10 more Girls.
Paul and Kelly are throwing darts at the hexagonal dartboard shown below. Paul told Kelly that if they throw darts at the board 100 times, of them should hit a 5.
If the prediction holds true, approximately how many times would their darts hit a 5?
Shown & Given:
The dartboard holds 5 in the maximum space.
Known:
Out of 100, it is know that they will hit 5 more than 50 times.
Possible Answers:
55, 66, or 77.
The most likely one is:
66
David is a salesman for a local Ford dealership. He is paid a percent of the profit the dealership makes on each car. If the profit is under $800, the commission is 25%. If the profit is at least $800 and less than $1,000, the commission rate is 27.5% of the profit. If the profit is $1,000 or more, the rate is 30% of the profit. Find the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit?
Answer:
At the city museum, child admission is $5.90 and adult admission is $9.20. on sunday, 144 tickets were sold for a total sales of $1136.70 . how many adult tickets were sold that day?
Step-by-step explanation:
The required difference between the commission paid is $100.25 when David sells a car for a $1,000 profit and for a $799 profit.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
We have to determine the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit
The profit = $1,000
The profit is $1,000 or more, the rate is 30% of the profit.
So, the commission paid :
⇒ 30% of $1,000 = $300
The profit = $799
The profit is under $800, the commission is 25%.
So, the commission paid :
⇒ 25% of $799= $199.75
The required difference between the commission paid :
⇒ $300 - $199.75 = $100.25
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will give brainliest
f(x) = 2x - 4
g(x) = 4x + 5
Find (fºg)(x)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!9
Answer:
A. 1/5
Step-by-step explanation:
1. The formula to find the slope of a line given two points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
y_2 = y-coordinate of point 2y_1 = y-coordinate of point 1x_2 = x-coordinate of point 2x_1 = x-coordinate of point 12. (Solving)
[tex]\frac{(3)-(2)}{(4)-(-1)}[/tex] [tex]\frac{1}{4+1}[/tex] [tex]\frac{1}{5}[/tex]Therefore, the answer is A. 1/5.
[tex]\huge \bf༆ Answer ༄[/tex]
Consider two points (-1 , 2) and (4 , 3)
Slope (m) of the graph is : -
[tex] \sf \dfrac{y2 - y1}{x2 - x1} [/tex][tex] \sf\dfrac{3 - 2}{4 - ( - 1)} [/tex][tex] \sf \dfrac{1}{4 + 1} [/tex][tex] \sf\dfrac{1}{5} [/tex][tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
identify the steeper line y = 3x + 4 or y = 6x + 11
Answer:
y=6x+11
Step-by-step explanation:
The slope of y=3x+4 is 3 and the slope of y=6x+11 is 6.
Hope this helps :)
y = 3x + 4 is the steeper line with the slope 3
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two lines are y = 3x + 4 and y = 6x + 11
In the given line y = 3x + 4
The slope of the line is 3
In the given line y = 6x + 11
The slope of the line is 6
Among the two lines the line y = 3x + 4 has less slope. So the the steeper line y = 3x + 4
Hence, y = 3x + 4 is the steeper line with the slope 3
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Find the common difference of the arithmetic sequence 13, 21, 29, .
Answer: 8
Step-by-step explanation:
Does -19x go behind -12xi or in front of o -12xi in standard form?
x^2-19x-12xi or x^2-12xi-12x
Answer:
It's x² -12xi-12x
Step-by-step explanation:
You always do ax²+bx+c
I forgot how to do this stuff so please help
Answer:
116 in
Step-by-step explanation:
what is the value of
r t s 100°
Catalog # Size Package Content Price* Qty
BR1400106 6 reactions of 50 µl Reagents for coupled transcription/translation reactions
€196.00
0
BR1400101 24 reactions of 50 µl Reagents for coupled transcription/translation reactions
€591.00
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BR1400102 96 reactions of 50 µl Reagents for coupled transcription/translation reactions
€1,864.00
PLEASE HELP
What is the slope of the line?
Step-by-step explanation:
you know what the slope of the line is ? it is the inclination of the line. how strongly is it going up or down, or is it maybe flat ?
in the formulas the slope is always the factor of x. the slope is excised as ratio of y coordinate change / x coordinate change when going from one point to another.
we see here 2 clear points in my opinion :
(0, -3) and (3, 0)
that is where the line crosses the y and the coordinate axis.
so, going from (0, -3) to (3, 0) :
x changes by +3 (from 0 to 3)
y changes by +3 (from -3 to 0).
so, the slope is
+3/+3 = 1
What is the symbol for a square root
Answer:
The symbol for a square root is [tex]\sqrt{}[/tex].
:)
Answer:
√
Step-by-step explanation:
Math=Explanitory
A pool with a square bottom is to have a volume of 2000 cubic feet. The owners plan to use a fancy tile to complete the pool. The sides of the pool will cost $80 per square foot and the bottom of the pool will cost $40 per square foot. Find the pool dimensions that will minimize the cost of construction.
Considering the given conditions in the question, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
Volume of a material implies the maximum amount of substance that it can contain.
From the given question, it is expected that the pool would have the shape of a cuboid, thus its volume can be determined by:
volume of the pool = length x width x height
= base area x height
Thus, given that the volume of the pool is 2000 cubic feet, then;
2000 = base area x height
i. Let the dimensions of the square base be 10 feet, and its height 20 feet, so that;
volume = 10 x 10 x 20
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 200
= 800 square feet
The cost of tiling the sides of the pool = $80 x 800
= $ 6400.0
Area of the base of the pool = 10 x 10
= 100 square feet
The cost of tiling the base of the pool = $40 x 100
= $4000
Total cost = $6400 + $4000
= $10400
Total cost of constructing the pool with the assumed dimensions is $10400.
ii. Let the dimensions of the square base be 20 feet, and its height 5 feet, so that;
volume = 20 x 20 x 5
= 2000 cubic feet
The cost of constructing the pool of the assumed dimensions would be:
Total area of its sides = 4 x 100
= 400 square feet
The cost of tiling the sides of the pool = $80 x 400
= $ 32000
Area of the base of the pool = 20 x 20
= 400 square feet
The cost of tiling the base of the pool = $40 x 400
= $16000
Total cost = $16000 + $32000
= $48000
Total cost of constructing the pool with the assumed dimensions is $48000.
Therefore, the dimensions that will minimize the cost of construction of the pool are:
base length = 10 feet
base width = 10 feet
pool depth = 20 feet
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The coefficient in the formula above tells us that there are?
Answer: srry if im wrong but i think it is Answer:1.A ____ is like a recipe for a chemical substance. (valence, formula, subscript, coefficient)
Step-by-step explanation:
dude these qts are due in 10 mins pls help!
Answer:
I can't see the last answer choice.
9/LM = 6/4.5
Step-by-step explanation:
9cm is to 6cm as LM is to 4.5cm
9/6 = LM/4.5
Rewriting: 9/LM = 6/4.5
A flight from Boston to London only took 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?
If the flight back to Boston against the same wind took 6 hours. The speed of the wind if the speed of the plane in still air is 550 mph is 50 mph.
How to find the speed of the plane?Given data:
Boston to London = 5 hours
Flight back to Boston = 6 hours
Still air = 550 mph
Using this formula
Speed (s) = Distance /Time
We need to formula an equation that will be used to find the speed
Equation: (550 + s)5 = (550 - s)6
So,
Let s represent the speed
(550 + s)5 = (550 - s)6
2750 +5s = 3300 - 6s
Collect like terms
6s +5s = 3300 - 2750
11s = 3300 - 2750
11s = 550
Divide both side by 11s
s= 550/11
s = 50mph
Therefore the speed of the plane is 50mph.
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!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Answer:
A is the best answer to give
BRAINLIST ???
Answer:
C a line that shows the set of all solutions to the equation
Step-by-step explanation:
y = -4x+7 is the slope intercept form of a line
The slope is -4 and the y intercept is 7
What is the slope-intercept form of the equation x + y= -15?
Answer:
x+y=-15
y=-x-15
Step-by-step explanation:
What is the name of a bank account that allows you to access your funds in the bank?
Answer:
A checking account
Step-by-step explanation:
It's called a checking account