Answers
Answer:
y = 2x + 5
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 ) = B(- 3, - 1 ) and (x₂, y₂ ) = A (1, 7)
m = [tex]\frac{7+1}{1+3}[/tex] = [tex]\frac{8}{4}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, 7 ) , then
7 = 2 + c ⇒ c = 7 - 2 = 5
y = 2x + 5 ← equation of line
Related Questions
"Two vehicles each travelled 200 kilometers in 3 hours, but ended up being 400 kilometers apart. How did this occur?" what kinda math do I need to do to find the answer?
Answers
Answer:
Direction of travel.
Step-by-step explanation:
Given that two vehicles traveled 200 km in 3 hours ;
Distance apart after 3 hours = 400 km
A logical solution to this final distance between the two cars can be explained by their direction of travel.
Since the Cars both covered the same distance over the same period of time, the both cars must have started from a common point and traveled in opposite direction.
Meaning ;
Car 1 traveled 200 km in a certain direction
Car 2 traveled 200km in the opposite direction
Hence, distance between the cars will be :
Distance covered by car 1 + distance covered by car 2
200km + 200km = 400km
Michelle took 9 hours of surfing lessons in August. This was 1/6the number of hours of surfing lessons Jack took in August. How many hours of surfing lessons did Jack take?
Answers
Answer: about 2 hours or 9/6
Step-by-step explanation: you take 9/1 and multiply 1/6
The graph of the function f(x)=5/4sin(x) is shown. What are the key features of this function?
The maximum value of the function is
The minimum value of the function is
On the interval (0. pi/2), the function is
The range of the function is
Answers
The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is strictly increasing.
The range of the function is [-1/4, 9/4].
Given function is:
[tex]y = \frac{5}{4} sin x +1[/tex]
What is the range of sin x?The range of sin x is [-1, 1].
So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]
So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]
The range of [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]
The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the maximum value of the function = 9/4
The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]
So, the minimum value of the function = -1/4
As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.
Therefore, The maximum value of the function is 9/4.
The minimum value of the function is -1/4.
On the interval (0, pi/2), the function is increasing.
The range of the function is [-1/4, 9/4].
To get more about functions visit:
https://brainly.com/question/13536166
what is 8 1/3x6 3/4=
Answers
Answer:
I think it is 56.25 not sure but try it
Answer:
56.25 or 56[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
First:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
[tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]
Applying the fractions formula for multiplication,
[tex]\frac{25}{3}[/tex] × [tex]\frac{27}{4}[/tex]
[tex]\frac{675}{12}[/tex]
Simplifying 675/12, the answer is
56[tex]\frac{1}{4}[/tex]
if a/b=2 what would 4b/a be
Answers
Answer:
2 i think
Step-by-step explanation:
if a/b is 2 then it means a/b is equivalent to 2/1 so the value of a would be 2 and the value of b would be 1 so then for 4b/a we would plug in the values giving us 4(1)/2 which gives us a final answer of 2
Answer:
2
Step-by-step explanation:
We can assume a = 2 and b = 1 since that is the smallest values that will equal 2.
add these values into the equation
4(1)/2
4/2
2
Please Help me with this question
Answers
l–leangth
w–width
h–height
Find the Area of the Parallelogram!
Answers
Answer:
everything is in the picture
Answer:
42
Step-by-step explanation:
Area of parallelogram us 1/2 × bh
1/2 ×14×6
=42
The table shows the number of points scored by players on a basketball team.
a. Find the range and interquartile range of the data.
21,53,74,82,84,93,103,108,116,122,193(table)
The range is
points.
The interquartile range is
points.
Answers
Answer:
Given data:
21, 53, 74, 82, 84, 93, 103, 108, 116, 122, 193The range:
193 - 21 = 172The IQR is the difference of Q3 and Q1:
Q3 = 116, the median of upper half of dataQ1 = 74, the median of lower half of dataIQR = 116 - 74 = 42Can someone please help me ?
Answers
Im 75% sure that’s the answer...
what is the unknown fraction 2/10 +__=67/100
Answers
Can u pls help me with this question
Answers
Answer:
C. x<4
Step-by-step explanation:
1. Subtract 2 from both sides
2. You get x<4
Answer:
C) x < 4
Step-by-step explanation:
x + 2 < 6
x < 6 - 2
x < 4
which expression is equivalent to 2x+x^2+3x|+5x^2-10x?
(A) x
(B) x^2
(C) -5x+6x^2
(D) 15x+6x^2
Answers
Step by step exploration
I choose four different integers. When I add all the pairs of these numbers in turn, the totals that I obtain are
23
,
26
,
29
,
32
and
35
, with one of these totals being repeated.
What is the largest of the four integers
Answers
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The integers are 10, 13, 16 and 19 because:
10 + 13 = 23; 10 + 16 = 26; 10 + 19 = 29
Also;
13 + 16 = 19; 13 + 19 = 32 and 19 + 16 = 35
The integers are 10, 13, 16 and 19 which add up to get a total of 23, 26, 29, 32 and 35
Find out more on equation at: https://brainly.com/question/2972832
find the lcm of m²+2m, m²- 4 ,m² + 3 m+2 plzzzz answer fast
Answers
Answer:
(m + 2)
Step-by-step explanation:
First, factorise out m from the first equation:
m² + 2m = m (m + 2)
Second, use difference of two squares to factorise the 2nd equation:
m² - 4 = (m + 2) (m - 2)
Third, just factorise the last one normally as you would to solve for m:
m² + 3m + 2 = (m + 2) (m + 1)
Finally, to find the lowest common multiple, you need to identify what value goes into all of the equations and that is (m + 2).
Laura makes 8 dollars for each hour of work. Write an equation to represent her total pay p after working h hours.
Answers
Answer:
8h=p
Step-by-step explanation:
Answer:
8h = p
or
p = 8h (this is how i wrote it and it was right)
Step-by-step explanation:
I need someone who will answer all five questions correctly. Give out 100 bonus points for who will answer all 5 correctly
Answers
Answer:
What're the questions??
Step-by-step explanation:
why did this just now show up for me when it was in 2021 bro
PLEASEEE HELP I WILL GIVE U BRAIN THING IF ITS CORRECT
Answers
Which statements about special quadrilaterals are true? Select all that apply.
An isosceles trapezoid can be broken into a rectangle and two triangles.
The area of a kite can be found by multiplying the length times the width.
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
A kite can be broken into two triangles or a rectangle and a triangle.
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.
Answers
Answer:
A and C
Step-by-step explanation:
I just answered the question.
Answer:
A and C
Step-by-step explanation:
Trust me
When two parallel lines are cut by a transversal, _______________________ angles are supplementary
A.Corresponding angles
B. Alternate interior angles
C, Alternate exterior angles
D.Same side interor angles
Answers
Answer:
When two parallel lines are cut by a transversal, Alternate interior angles are supplementary.
Step-by-step explanation:
simplifying expressions
this is a whole page of questions and i dont remember how to do them pls help if you know any of them
1. 12m + 24m
2. 90a - 30a
3. 14b + 15b + 8
4. 58d + 25 - 22d
5. 3(14 + 15f) + 79
6. 20(18 + 5t) - 47 + 28t
Answers
Step-by-step explanation:
These problems are about like terms. Those are terms that are alike (same variables) but the coefficients (numbers in front) can be different.
1. 12m + 24m = 36m
2. 90a - 30a = 60a
Example: 6k + 8k + 10 = 14k + 10 (the part of the expression that's just a number does not combine with the parts that have variables).
3. 29b + 8
4. 36d + 25 (the terms with d in them combine--they don't have to be back-to-back)
5. This is about the Distributive Property; first multiply 14 + 15f both by 3, then look for opportunities to combine like terms.
3(14 + 15f) + 79 = 42 + 45f + 79 = 121 + 45f
6. 20(18 + 5t) - 47 + 28t = 360 + 100t - 47 + 28t
= 313 + 128t
HIII I need help with this I just took a screenshot its for 7th grade.
Answers
X > 7
To determine a student’s overall test score for the semester, Ms. Lopez throws out the lowest test score and takes the average of the remaining test scores. Victor earned the following test scores in Ms. Lopez’s class this semester: 62, 78, 83, 84, and 93. What overall test score did Victor earn in Ms. Lopez’s class this semester?
67.6
67.6
80.0
80.0
83.0
83.0
83.5
83.5
84.5
Answers
Answer:
80%
Step-by-step explanation:
I'm assuming you want the average of the class.
62 + 78 + 83 + 84 + 93
= 400
400/5
= 80
Therefore Victor's overall test score is 80%
100 points / please help, im lost
Answers
Answer:
12:15 is NOT proportional to 3:4
Step-by-step explanation:
7.5:10 is proportional to 3:4 because 3×2.5=7.5, and 4×2.5=10.
39:52 is proportional to 3:4 because 3×13=39, and 4×13=52
45:60 is proportional to 3:4 because 3x15=45, and 4×15=60
12:15 is not proportional to 3:4 because while you can multiply 3x4=12, you can not multiply 4×4 to get 15, you get 16 instead.
the answer to your question is D.12:15
Order the numbers from least to greatest. 19, 22, 8, 5, 9, 19, 28, 17, 8, 19, 8, 19, 5
Answers
Answer:
5,5,8,8,8,9,17,19,19,19,19,22,28
Step-by-step explanation:
Just whatever is highest to lowest :)
Carlos went and purchased a new mattress for $644.80, including tax. He
made a down payment of $200 and plans to pay the balance off in 5 equal
monthly payments. What will Carlos monthly payment be for this mattress?
a $88.96
X $168.96
C$7413
d. $128.96
Answers
- 200
= 444.80
444.80/5 months = A) 88.96
What is the area of the trapezoid?
A) 176 cm^2
B)192 cm^2
C)208 cm^2
D)224 cm^2
Answers
Answer:
a
Step-by-step explanation:
.
A(-1,1) and P(a,b) are two points, where a and b are constants. The gradient of AP is 2. Find an expression for b in terms of a.
Answers
Answer:
b = 2a + 3
Step-by-step explanation:
Here, we want to write an expression for b in terms of a
Mathematically, the formula for the slope of a line is
m = (y2-y1)/(x2-x1)
m is 2
(x1,y1) = (-1,1)
(x2,y2) = (a,b)
Substituting these values
2 = (b-1)/(a-(-1))
2 = b-1/a + 1
2(a + 1) = b-1
2a + 2 = b- 1
2a + 2 + 1 = b
b = 2a + 3
when the base of a ladder is placed 10ft away from the base of a building, the top of the ladder touches the building at 18ft above the ground. About how long is ladder?
Answers
Please look at the screenshot
Answers
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
Felix invested $10,000 into a retirement account in 2010. He then projected the amount of money that would be in the account for several years assuming that the interest will compound continuously at an annual rate. Later, when he looked back at the data, he could not recall the annual he used for the projections. Use the data below to determine the annual rate as a percent. (Remember use A=Pert for continuous interest problems where P=initial amount invested, r is the interest rate as a decimal and t is the time in years).
Answers
Answer:
0.068% or 6.8% this will be your final answer