Answers
y = [tex]\frac{-5}{4}[/tex]x + 3
Step-by-step explanation:As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c or -------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope m given by;
m = [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]
m = [tex]\frac{-2-3}{4-0}[/tex]
m = [tex]\frac{-5}{4}[/tex]
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m = [tex]\frac{-5}{4}[/tex] into equation (ii) as follows;
y - 3 = [tex]\frac{-5}{4}[/tex](x - 0)
(iv) Solve for y from (iii)
y - 3 = [tex]\frac{-5}{4}[/tex]x
y = [tex]\frac{-5}{4}[/tex]x + 3 [This is the slope intercept form of the line]
Where the slope is [tex]\frac{-5}{4}[/tex] and the intercept is 3
Related Questions
Determine the value of x.
Question 9 options:
A)
2
B)
2
C)
D)
4
Answers
Answer:
2√2 = x
Step-by-step explanation:
x
---- = sin 45 degrees, or
4
x 1
----- = -----
4 √2
this results in x = 4 / √2 = 4√2/2 = 2√2 = x
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The two triangular legs and their opposing angles are congruent in an isosceles triangle.
The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have
4² = x² + x²
2x² = 16
x² = 8
x = 2√2
The value of the variable 'x' will be 2√2 units. Then the correct option is C.
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Please help!!!!!!!!!! !!
Answers
Answer:
[tex]The ~length~ is ~9.6~ units[/tex] ✔︎
༄❁༄❁༄❁༄❁༄
[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]
[tex]Using~ Pythagorean ~theorem:[/tex]
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=(8)^2+(2)^2[/tex]
[tex]\sqrt{c^2} =\sqrt{68}[/tex]
[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]
»»---------------------►
[tex]d^2=c^2+e^2[/tex]
[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]
[tex]d^2=68+25[/tex]
[tex]\sqrt{d^2} =\sqrt{93}[/tex]
[tex]d=\sqrt{93} ~or~9.6[/tex]
[tex]So, your~ answer ~is ~9.6[/tex]
✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧⋄⋆⋅⋆⋄✧
hope it helps...
have a great day!!
Answer:
Using Pythagorean theorem
C²=A²+B²c=(8)²+(2)²
√c²=√68
c=2√17 or √68
d²=c²+e²d²=(2√17)²+(5)²
d²=68+25
√d²=√93
d=√93 or 9.6
OAmalOHopeO
What is the answer to this question?
Answers
Answer:
Step-by-step explanation:
Hello!
2*2* 5+ 2*2*4 =
20 + 16 = 36 cm³
I bought 3 1/4 lbs of apples, 2 2/3 lbs of oranges, 5 3/4 lbs of peaches and 3 1/3 lbs of bananas. How many pounds of fruit did I buy?
Answers
Answer:
[tex]=3\frac{1}{4} + 2\frac{2}{3}+5\frac{3}{4}\\\\[/tex]
=[tex]\frac{13}{4} + \frac{8}{3} + \frac{23}{4}[/tex]
[tex]=\frac{(13*3)+(8*4)+(23*3)}{12} \\\\=\frac{39 + 32 + 69}{12} \\\\=\frac{140}{12}\\\\=\frac{35}{3}\\\\ = 11\frac{2}{3}lbs[/tex]
There are 26 gold fish in the tank at the store. How many ways can Ben choose five?
Answers
Answer:
65,780 im pretty sure
Step-by-step explanation:
Complete the sentences to describe the function f(x) = 2x^2+16x/16x^3-x the function is discontinus at
Answers
Answer:
The answer is "[tex]\bold{\frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}}[/tex]".
Step-by-step explanation:
[tex]\to f(x) = \frac{2x^2+16x}{16x^3-x}[/tex]
[tex]= \frac{2x(x+8)}{x(16x^2-1)}\\\\= \frac{2(x+8)}{(16x^2-1)}\\\\= \frac{2(x+8)}{((4x)^2-(1)^2)}\\\\= \frac{2(x+8)}{(4x^2- 1)(4x^2+ 1)}\\\\[/tex]
Answer: the function is discontinuous at x=0
To create the extended function add f(x)=0,x=0
Step-by-step explanation:
a printer can print 27 pages in 4.5 minutes. how much time does it take to print 324 pages
Answers
Answer:
54
Step-by-step explanation:
27pages=4.5minutes
[tex]1 = \frac{4.5}{27} [/tex]
[tex]324 = \frac{4.5}{27} \times 324[/tex]
[tex]324 = 4.5 \times 12[/tex]
324pages=54minutes
Hence, the printer can print 324pages in 54 minutes
Mrs. Clements has a table with a top that is shaped like the trapezoid shown. Which expression can Mrs. Clements use to find the area of the table top, in square feet? A (5x3x4) + (4x2) C (4 3 5) 1 1··2(2 3 4) B (9 3 4) 1 (4 3 5) D (4 3 9) 1 1··2(5 3 4) 5 feet 4 feet 2 feet 9 feet
Answers
Answer:
60
Step-by-step explanation:
The expression Mrs. Clements use to find the area of the tabletop, in square feet is 0.5 * (5 + 9) * 4
How to determine the area of the tabletop?The dimension of the tabletop is:
Parallel sides = 5 feet and 9 feet
Height = 4 feet
The area is then calculated using:
Area = 0.5 * (Sum of parallel sides) * Height
This gives
Area = 0.5 * (5 + 9) * 4
Hence, the expression Mrs. Clements use to find the area of the tabletop, in square feet is 0.5 * (5 + 9) * 4
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Please answer this question
Answers
What is the area of the triangle??
Answers
Answer:
Answer is 12
Step-by-step explanation:
height is (4 square untis) and base is (6 square units).
Multiply 6 x 4 = 24 then you have to divide by 2 and it gives you 12.
Hope this helps !
PLEASE HELP <3
Mrs. Neville determined the following annual expenses for energy from her last year's bills: electricity = $4,135; gas = $890; water and sewer = $698. If she budgets 25% more for next year, what is her monthly budget for energy?
$521.87
$547.22
$596.15
$601.44
None of these choices are correct.
Answers
Answer:
n=21000.
Step-by-step explanation:
$3.60
Each of 6 students reported the number of movies they saw in the past year. Here is what they reported.
8,6,8,5,4,6
Find the mean number of movies that the students saw.
If necessary, round your answer to the nearest tenth.
Answers
Answer:
[tex]\boxed {\boxed {\sf mean \approx 6.3}}[/tex]
Step-by-step explanation:
We are given this data and asked to find the data.
8, 7, 8, 5, 4, 6
The mean is also called the average. It is found by dividing the sum of the terms by the number of terms.
[tex]mean= \frac {sum \ of \ terms}{number \ of \ terms}[/tex]
First, we calculate the sum of the terms. Add up all the numbers.
sum= 8+7+8+5+4+6 sum= 38[tex]mean=\frac{38}{number \ of \ terms}[/tex]
Next, divide by the number of terms. There are 6 terms (also, there are 6 students that reported).
[tex]mean=\frac{38}{6}\\mean=6.33333333333[/tex]
Let's round to the nearest tenth.
6.33333333333The 3 in the hundredth place tells us to leave the 3 in the tenth place.
[tex]mean \approx 6.3[/tex]
The mean number of movies the students saw is approximately 6.3
Step-by-step explanation:
Terms are
8,6,8,5,4,6[tex] \rm \mapsto \: mean = \frac{sum \: of \: terms}{number \: of \: terms} \\ \rm \mapsto \: \frac{8 + 6 + 8 + 5 + 4 + 6}{6} \\ \rm \mapsto \: \frac{14 + 13 + 10}{6} \\ \rm \mapsto \: \frac{37}{6} \\ \rm \mapsto \: 6.166 \\ \rm \mapsto \: 6.1 \overline{6} \\ \rm \mapsto \: 6.2[/tex]
[tex]\boxed{\large{\sf Mean\approx 6.2}}[/tex]
[tex]\sf Knowledge\:booster{\begin{cases}\bf{\dag}\:\:\underline{\textsf{Fraction Rules :}}\\\\\bigstar\:\:\sf\dfrac{A}{C} + \dfrac{B}{C} = \dfrac{A+B}{C} \\\\\bigstar\:\:\sf{\dfrac{A}{C} - \dfrac{B}{C} = \dfrac{A-B}{C}}\\\\\bigstar\:\:\sf\dfrac{A}{B} \times \dfrac{C}{D} = \dfrac{AC}{BD}\\\\\bigstar\:\:\sf\dfrac{A}{B} + \dfrac{C}{D} = \dfrac{AD}{BD} + \dfrac{BC}{BD} = \dfrac{AD+BC}{BD} \\\\\bigstar\:\:\sf\dfrac{A}{B} - \dfrac{C}{D} = \dfrac{AD}{BD} - \dfrac{BC}{BD} = \dfrac{AD-BC}{BD}\\\\\bigstar \:\:\sf \dfrac{A}{B} \div \dfrac{C}{D} = \dfrac{A}{B} \times \dfrac{D}{C} = \dfrac{AD}{BC}\end{cases}}[/tex]
3. Find the surface area of the square pyramid.
Answers
Answer:
answer: 105
Step-by-step explanation:
For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!
32-+16 I need help on this sum because I am stuck. Just revision for a test in a month's time.
Answers
Answer: = 16
Step-by-step explanation: Hope this help :D
(Please help!!) Solve: x2+6x+9
Answers
if you're trying to solve for x, and it is equal to zero, then it would be -3. plug it in and it would all cancel out
Market price of an article is 30% above its purchase price.If the shopkeeper sold it by allowing 15% discount,then (i) Calculate the market price and profit amount if the shopkeeper paid 2500 for the article.
solution by step:
Answers
The market price and profit amount if the shopkeeper paid 2500 for the article will be 3250 and 11.05%.
What exactly is profit?Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.
Given data;
Purchase price = 2500
Given condition;
The markup is 30% more than the purchasing price.
Mark Price is found as;
[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]
The marked price of an article will be 3250.
Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;
[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]
The profit in the article is found as;
Profit = 2762.5-2500
Profit = 226.25 RS
Now profit % is found as;
[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];
Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article, will be 3250 and 11.05%.
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Help! Please anyone. I need help!
Answers
Answer:
Isn't it supposed to put where the number/symbol is.....
Step-by-step explanation:
Find x if the average of 20, 15, 13, 17, and x is 18.
Answers
Answer:
5
Step-by-step explanation:
Using the formula m= f(x2) - f(x1)/x2 - x1, what is the rate of change for the linear function that contains the
points (-3, 2) and (1,10)?
1/2
8
-4
2
Answers
7 - 1/4 X 12 +(3/4+1/2) + 8 ÷ 2+2 X 3 =
Answers
Write an algebraic equation to represent the
situation. Be sure to define the variable you are
using. For example: b = the # of books.
Write your equation and define the variables here.
Answers
Answer:
Where is the situation?
Step-by-step explanation:
Is this all? Or did you forget to add the picture? Comment down below I'll answer im good with algebraic expressions.
A line passes through the point (0,5) and has a slope of -1/2. Which is the equation of the line in slope-intercept form?
A) 2x + y = 7
B) y = 3x + 5
C) y = -2x + 7
D) y = -1/2x + 5
thank you !!:) <3
Answers
Answer: i think it’s D
Step-by-step explanation:
MATH HELP
Ben received 1 mark for every correct answer on a
multiple-choice test.
He answered 75 questions correctly out of a total
of 135 questions.
On the test, 55% is a pass. Did Ben pass the test?
Give reasons for your answer.
Answers
Answer:
yes
Step-by-step explanation:
75 out of 135 is 55.6%
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer: I believe the answer is D
Step-by-step explanation:
Answer:
B. Number of days she trains
The shape of a lateral face of a pyramid is always an isosceles triangle?
Answers
Answer:
No.
Step-by-step explanation:
Because the lateral faces of a regular pyramid are congruent isosceles triangles. The altitude of any of these triangles is the slant height of the regular pyramid.
What is the value of S4 for infinity sigma n=1 10(0.2)^n-1
A. 2.48
B. 12.48
C. 16
D. 24
Answers
Answer:
The answer is B. 12.48. I hope you have an amazing day <3
Step-by-step explanation:
Answer:
The value of S4 for infinity sigma n=1 10(0.2)^n-1 is B. 12.48
Step-by-step explanation:
Summationsummation is the addition of a sequence of any kind of numbers
Here we need to find the summation of first four terms.
so ,
S₄ = 10 ×[tex]( 0. 2 )^{4-1}[/tex] = 0.08
S₃ = 10 × [tex]( 0.2 )^{3-1}[/tex] = 0.4
S₂ = 10 × [tex]( 0.2 )^{2-1}[/tex] = 2
S₁ = 10 × [tex]( 0.2 )^{1-1}[/tex] = 10
Thus, The Value of Summation = S₄ + S₃ + S₂ + S₁ = 12.48
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the ratio of boys to girls in a classroom is 7:5 4 boys are added to the class the ratio is now 1:1 find the total number of girls in the class
Answers
the ratio 7:5 is divided by two so it can also be seen as 14:10. Add four boys and the ratio becomes 14:14 which is also 1:1
If function f is the parent exponential function , what is the equation of transformed function g in terms of function f?
Replace the value of a to complete the equation.
Answers
Answer:
This problem is acually really simple.
Step-by-step explanation:
all you have to do is replace the a with a 3. SO It would look like this:
g(x)=3f(x)
hope this helps :)
The equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x
How to determine the equation of g(x)?The function f(x) is given as:
f(x)= e^x
The function is stretched by a factor of 3 to get the function g(x)
This means that:
g(x) = 3 * f(x)
Evaluate the product
g(x) = 3f(x)
Hence, the equation of the function g(x) is g(x) = 3f(x) or g(x) = 3e^x
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Calcula el Volumen óptimo de pedido, el punto de pedido y el Stock de
seguridad de un producto cuya demanda anual es de 85.000 unidades.
Se estima que el coste de emisión de los pedidos es de 4 € y el coste de almacenamiento
unitario es de 0,50 €.
El plazo normal de envío de los proveedores es de 3 días y el plazo máximo de envío de 5.
Utiliza el año comercial.
Answers
Answer:
I don't speak spanish
Step-by-step explanation:
What is the answer??
Answers
Answer: .41+.34=.75
Step-by-step explanation: