Answer:
y = 2x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (0, - 3)
m = [tex]\frac{-3-5}{0-4}[/tex] = [tex]\frac{-8}{-4}[/tex] = 2
The line crosses the y- axis at (0, - 3) ⇒ c = - 3
y = 2x - 3 ← equation of line
Find the area of the triangle.
Answer:
Area of triangle = 1/2*b*h
[tex]\frac{1}{2} * 2.8* 7.8\\\frac{1}{2} * 21.84\\\frac{21.84}{2}\\= 10.92[/tex]
Answer:
10.92 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b= 2.8 and h = 7.8 , then
A = [tex]\frac{1}{2}[/tex] × 2.8 × 7.8 = 1.4 × 7.8 = 10.92 cm²
I need help please
The amount of money that Jacob earns based on the number of hours he works is shown in the table. Find the constant of proportionality.
Answer:
Y=7.5x
Step-by-step explanation:
8-5=3 and 60-37.5 is 22.5 divide 22.5 by 3 and you get 7.5 which is the rate that he earns an hour
The nth term of a different sequence is 10n^2+5 work out the 5th term of this sequence
Answer:
255
Step-by-step explanation:
10n^2+5
where n=5
10×5²+5
10×25+5
250+5
255
The 5th term of Sequence is 255.
What is Sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Given:
10n² +5
Now for 5th term put n= 5 we get
10n² +5
= 10(5)² +5
= 10 x 25 + 5
= 250+ 5
= 255
hence, the 5th term is 255.
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cordenadas cartesianas
Answer:
what
Step-by-step explanation:
65.6g of sugar is needed to make 8 cakes how much is needed to make 5
Answer:
41g
Step-by-step explanation:
65.6/8= 8.2g per cake
8.2*5 cakes= 41g
Answer:
41g of sugar.Step-by-step explanation:
65.6g = 8 cakes
We need to find the sugar for 1 cake:
65.6 ÷ 8= 8.2 (gram for 1 cake)
The sugar for 5 cakes:
8.2 × 5= 41 (gram for 5 cakes)
4. The difference log2 (3) - log2 (12) is equal to
Answer:
Step-by-step explanation:
-2
Apply this particular rule of logs:
log a - log b = log a/b
Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)
This last result simplifies to log2 1 - log2 4 = 0 - 2 = -2
Answer:
-2
Step-by-step explanation:
[tex]log_2(3)-log_2(12)[/tex]
~Simplify using log properties
[tex]log_2(\frac{3}{12})[/tex]
[tex]log_2(\frac{1}{4})[/tex]
~Apply log rules
[tex]-log_2(4)[/tex]
~Rewrite
[tex]-log_2(2^2)[/tex]
~Apply log rules
[tex]-2log_2(2)[/tex]
~Apply log rules
-2 * 1
~Simplify
-2
Best of Luck!
if angle 1 is 57 degrees then whats angle 6
Answer:
So, m∠6 = 180° - x°.
Step-by-step explanation:
The answer is 180 degrees
Select the correct answer.
What is the solution to this system of equations?
3x + y= 17
x + 2y = 49
ОА.
It has no solution.
B.
It has infinite solutions.
O C.
It has a single solution: x= 15, y= 17.
OD
It has a single solution: x = -3, y= 26.
Answer:
OD. x=-3, y=26
Step-by-step explanation:
hope it helps
the domain, range, and x-intercept of a one-to-one function are shown.
i need help with a question! im going to post it now! some one please help!!!!
its math
Answer:
Where is it?
Step-by-step explanation:
Solve this system using elimination (20 POINTS)
4x-7y=3
x-7y=-15
Answer:
x = 6, y =3
Step-by-step explanation:
4x-7y=3
x-7y=-15
Multiply the first equation by -1
-4x+7y=-3
Then add this to the second equation to eliminate y
-4x+7y=-3
x-7y=-15
------------------
-3x +0y = -18
-3x = -18
Divide by -3
-3x/-3 = -18/-3
x = 6
Now find y
x -7y = -15
6 -7y = -15
Subtract 6 from each side
6-7y-6 = -15-6
-7y = -21
Divide by -7
-7y/-7 = -21/-7
y =3
Everybody solve this pls and a answer
More information is needed to properly answer the question!
Step-by-step explanation:
(x+12)+(6x-4)+(3x+2)=180
10x+10=180
10x=170
x=17
m<W =17+12
=29
I'LL GIVE BRAINLIST!! THERES 2 ANSWERS!! PLEASE HELP!!
Answer:
i would go with option 2, just depending on how many pounds u get for $6.58 though.
It rained all day on Mother's Day and the temperature dropped fourteen and seven tenth degrees. The next day the rain stopped and the temperature rose ten and nine tenths degrees. If the temperature at the beginning of Mother's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Mother's Day?
Answer: The temperature was 1 8/10º at the end of the day after Mother's Day
Step-by-step explanation:
5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day
-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day
Can anyone answer these
(simplify to find the quotients)
A bus can travel 150 miles in 4 hours, what is the constant of proportionality per hour?
Answer:
37.5 miles per hour
Step-by-step explanation:
My last question!!!! But what does it mean? Please help!
Answer:
The First Option is Correct.
Step-by-step explanation:
[tex]d \geq 99[/tex]
i need help i will mark brainliest!! look at the pictures
Answer:
yes
Step-by-step explanation:
the picture is not clear
What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 36. Fully reduce your answer.
Answer:
Submit Answer
attempt 1 out of 2
9514 1404 393
Answer:
-1
Step-by-step explanation:
Solving the given equation for y, we have ...
x -y = 18
y = x - 18 . . . . . add y-18
The coefficient of x is 1. That is the slope of the given line. The desired perpendicular line will have a slope that is the negative reciprocal of this:
m = -1/1 = -1
The slope of the perpendicular line is -1.
__
The graph shows you that a line with slope -1 is perpendicular to the given line.
The table shows a relationship between x-and y- values which statement describes the pattern created by the values ?
Answer:
3rd one
Step-by-step explanation:
The correct pattern created by the values is,
⇒ Each value of y is determined by adding 4 to each x - values, so the pattern is additive.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
The table shows a relationship between x-and y- values.
Now, We have;
x = 2, 4, 6, 8
y = 6, 8, 10, 12
⇒ 2 + 4 = 6
⇒ 4 + 4 = 8
⇒ 6 + 4 = 10
⇒ 8 + 4 = 12
Clearly, Each value of y is determined by adding 4 to each x - values.
Hence, The pattern is additive.
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if triangle ABC=triangle DEC, and angle b=3x and angle e=6x-39, what is x
The value of x in the expression is 13.
What is a Triangle?A polygon which has three sides and three vertices is called as triangle.
The sum of all the angles of the triangle is 180°.
Given:
The triangle ABC = triangle DEC,
and angle b=3x and angle e=6x-39.
To find the value of x:
We know,
b = e
So, substituting the values,
3x = 6x - 39
3x = 39
x = 13.
Therefore, the value of x is 13.
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the area of rectangle is x^2-3x+2. Find a possible length and width of the rectangle.
Answer:
x - 2 and x - 1 can be possible length and width of the rectangle.
Step-by-step explanation:
Area = x² - 3x + 2
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
To find possible length and width we can factorize the above expression.
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x² - 3x + 2 ( 2 = -1 × -2 )
x² - x - 2x + 2 ( 3 = -1 + -2 )
x(x - 1) + -2(x - 1)
(x - 2) (x - 1)
◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇◇
x - 2 and x - 1 can be possible length and width of the rectangle.
_________________________________
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Someone please help me
Answer:
a
Step-by-step explanation:
Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.
Answer:
s ∈ ( − ∞ , 1 )
Step-by-step explanation:
-2(s-7)>4s+8
-2s+14>4s+8
14>6s+8
6>6s
1>s
Answer:
(-inf, 1)
Step-by-step explanation:
The function rule of a certain function is y = -3x + 1. If the input is 7, what is the output?
Answer:
-20
Step-by-step explanation:
y = -3x+1
if the input is 7, it means x=7 so substitute in the equation
y= -3*7+1 = -21+1= -20 which is the output
A person with a mental age of 21 and a chronological age of 20 has an IQ of 105. What is the chronological age of a person with a mental age of 35 and an IQ of
Answer:
The answer is "25 years".
Step-by-step explanation:
In the question the value of IQ is missing that is = 140
Given value:
IQ= 140
MA=35
CA=?
Formula for calculating the chronological age:
[tex]\to CA = (\frac{MA}{IQ})\times 100[/tex]
[tex]= (\frac{35}{140})\times 100\\\\ = \frac{35}{14}\times 10\\\\=2.5 \times 10\\\\= 25[/tex]
Identify the most precise name for the angle pair shown in the picture.
These are complementary angles because from what this shows, they add up to 90 degrees. BTW Plz give brainliest, I need 5 to get to the next level.
Clear Mark for Review Jamal's lawn is shaped like a square with an area of 224.9 ft. Which measurement is closest to the side length of his lawn in feet?
Answer: 15 feets
Step-by-step explanation:
Given that :
Area of square shaped lawn = 224.9 ft²
Measurement closest to side length of the lawn :
Since the length is square shaped ;
Area of square formula = a²; where a = side length of the square
Area = a²
224.9 ft² = a²
Take the square root of both sides
√224.9ft² = √a²
14.996666 ft = a
a = 14.996666 ft
a = 15 ft
Hence, the side length of the lawn is closest to 15 feets
A new cookbook is becoming popular. The local bookstore ordered 4 copies in October, 6
copies in November, 9 copies in December, and 13 copies in January. If this pattern
continues, how many copies will the bookstore order in February?
Answer:
18 book copies
Step-by-step explanation:
As you can see, there is a pattern where you add the next number after x. To find where to start, let's subtract the numbers we were given:
6 - 4 = 2
9 - 6 = 3
13 -9 = 4
So our next number is to add 5 to 13: 5 + 13 = 18, so in February the bookstore will order 18 books.
I hope this helped, please mark Brainliest, thank you!