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A line passes through (-2, 7) and (3, 2).
Find the slope-intercept form of the equation of the line.
Then fill in the value of the slope, m , and the value of the y-intercept, b, below.
m=
b=
[tex]\huge{ \mathfrak{ \underline{ Answer \: \: ✓ }}}[/tex]
Slope of the line :
[tex] \large\boxed{ \mathrm{ \frac{y_2 - y_1 }{x_2 - x_1} }}[/tex]
[tex] \dfrac{7 - 2}{ - 2 - 3} [/tex][tex] \dfrac{ 5}{ - 5} [/tex][tex] - 1[/tex]therefore, m = slope = -1
The equation of the line will be :
y = mx + by = (-1 × x) + by = -x + bNow, let's plug the value of x and y from coordinates of second point,
[tex]y = - x + b[/tex][tex]2 = - 3 + b[/tex][tex]b = 5[/tex]Hence, the required values are :
[tex] \boxed{m = - 1}[/tex][tex] \boxed{ \: \: \: b = 5 \: \: \: }[/tex]_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
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
A line passes through (-2, 7) and (3, 2). We need to find the slope.
x₁=-2, x₂=3, y₁=7, y₂=2
substitute the values in formula of slope
m=2-7/3-(-2)
m=-5/5=-1
The slope intercept form of line is y=-x+b
To find b put the values of (-2,7)
7=-(-2)+b
7=2+b
7-2=b
5=b
y intercept is 5
Hence the slope of line passing through (-2, 7) and (3, 2). is -1 and the value of the y-intercept b is 5.
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Can someone help me on this?
Answer:
Step 1
Step-by-step explanation:
it should've been 4×[tex]10^{3}[/tex]
Answer:
A
Step-by-step explanation:
step 1
= 4 . 10³ not 4 . 10²
PLZ HELPPPPPP!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
4.
The expression for the area of a rectangle whose Length
(2p + 4) units and breadth 6 units is:
A. 12 + 24p
B. 24 + 12p
C. 4p + 20
D. None of these
Answer:
D. None of this
Step-by-step explanation:
(2p+4) 6
=12p+24
Answer:
None of these
Step-by-step explanation:
area of rectangle=length*breadth
=(2p+4)*6
=6*2p+4*6
=12p+24
I WILL GIVE BRAINLIEST PLEASE
Answer:
the answers are pi/6 and radius. hence the statement should read as
the length of the arc intercepted by third central angle is pi/6 times the length of the radius.
3.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
A. (–1, 1); minimum
B. (–1, 1); maximum
C. (1, –1); minimum
D. (1, –1); maximum
Answer:
C. (1, –1); minimum
Step-by-step explanation:
The answer to your question is letter “C”
The correct answer is c
A store is having a 20% off sale. The final sale price of the items will include 5% sales tax.
The final sale price of an item can be expressed as 1.05(x – 0.2x), where x is the original price of the item.
Answer:
0.84 and 84
Step-by-step explanation:
1.05 (x -0.2x) = 1.05 (1-0.2)x = 1.05 * 0.8 x= 0.84x
84% of the original price of item
Answers:
first box = 0.84xsecond box = 84=================================================
Explanation:
Think of x - 0.2x as 1x-0.2x. The numbers out front, the 1 and -0.2, combine to 0.8
The 0.8 converts to 80%, meaning that if there's a 20% off sale, then you still have to pay the remaining 80% of the original price.
The 1.05 indicates that we started with 100%, and then add on 5% sales tax, so 100% + 5% = 1 + 0.05 = 1.05
---------------
Simplifying the expression given to us leads to
1.05(x - 0.2x)
1.05(1x - 0.2x)
1.05(0.8x)
(1.05*0.8)x
0.84x
This shows that the final price, after tax, is 84% of the original price.
PLS HELP WILL GIVE BRAINLIEST( IN PIC)
Answer:
hahahahahhahahahahahahah
Solve the right triangle. Round decimal answers to the nearest tenth.
Step-by-step explanation:
RS = 15/ tan57° = 9.7
RT = 15/sin57° = 17.9
What is the value of the missing side? Round to the nearest hundreth.
Help please!
20.3/3.5*0.58 in a standard form
Answer: 3.364
Step-by-step explanation: ?????
What are the answers to these
Answer:
Step-by-step explanation:
figure 1 is 14 and 2 is 32
Which of these numbers gives -7 when divided by -14
a -98
b -2
c 2
d 98
Answer: d. 98
Step-by-step explanation:
98/-14=-7
What is the value of x in this figure?
Enter your answer in the box.
X
1140
xo
Answer:
114 degrees
Step-by-step explanation:
Because they are vertically opposite angles
Answer:
Step-by-step explanation:
Both angles are opposite of each other, therefore, x = 114
Review the table showing the percentage of
contaminants remaining in a water sample after
passing through each round of filters.
In the exponential regression equation, what does the
value of b indicate?
Round
% of Contaminants
Left in Water Sample
0
100
6.3% of the contaminants remain in the water
sample after each round of filters.
14.9% of the contaminants remain in the water
sample after each round of filters.
O 6.3% of the remaining contaminants are removed
from the water sample after each round of filters.
14.9% of the remaining contaminants are removed
from the water sample after each round of filters.
1
15
2
2
3
0.3
Answer: it’s C
6.3% of the remaining contaminants are removed from water samples after each round of filters
Step-by-step explanation:
I got a good feeling
The value of b indicates 14.9% of the contaminants remains in water after each round of filters.
What is exponential regression?
Exponential regression refers to the process of arriving at an equation for the exponential curve that best fits a set of data.
What is the general form of the exponential regression equation?[tex]y =a b^{x}[/tex] is the general form of the exponential regression equation.
Let the exponential regression equation be [tex]y = ab^{x}[/tex].
Taking natural logarithm both the sides of [tex]y = ab^{x}[/tex]
⇒ [tex]ln y = a + x ln b..(i)[/tex]
For the value of a and b substitute the value of y and x from the given table.
substitute, y = 100 and x = 0 in equation (i)
⇒ [tex]ln100= a + 0[/tex]
⇒ a = 4.6
Substitute, y = 15, x = 1 and a = 4.6 in equation (i)
⇒ [tex]ln15 = 4.6 +( 1)lnb[/tex]
⇒[tex]2.7 - 4.6 = lnb[/tex]
⇒[tex]lnb = -1.9[/tex]
⇒ b = [tex]e^{-1.9}[/tex]
⇒ b = 0.149
⇒b = 14.9%
Hence, the value of b indicates 14.9% of the contaminants remains in water after each round of filters.
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5) The distance from home plate to dead center field in Sun Devil Stadium is 409 feet. A baseball
diamond is a square with a distance from home plate to first base of 90 feet. How far is it from first
base to dead center field?
A) 386.5 feet
B) 476.9 feet
C) 351.2 feet
D) 334.1 feet
What is 1/3 minus 1/6
Answer:
Step-by-step explanation:
1/3 - 1/6
take the lcm of 3 and 6
lcm=6
=1*2-1/6
=2-1/6
=1/6
A polygon has an area of 8 square units. If the polygon was enlarged with a
zoom factor of 4, what's the bigger polygon's area? *
Answer:
This will help you know what to do as an example
Step-by-step explanation:
The scale factor is 1624=23.
PsmallPlarge=2(10)+2(16)=52 units=2(15)+2(24)=78 units
The ratio of the perimeters is 5278=23.
what is the slope of the equation -5x + 8y = 30?
Answer:
The slope is 5/8
Step-by-step explanation:
-5x+8y = 30
Add 5x to each side
8y = 5x+30
Divide by 8
8y/8 = 5/8x+30/8
y = 5/8x + 15/4
This is in slope intercept form y = mx+b where m is the slope and b is the y intercept
The slope is 5/8
Answer: 5/8
Step-by-step explanation:
You would first need to put the equation into standard form. so you add 5x on both sides
Then you divide 8 on both sides
that would give you y=5/8x+3.75
The slope is 5/8
Please explain this problem fully
Answer:
S2
1. P is represented by -7
2. 1/2
Step-by-step explanation:
1. The P dot is right on the -7 mark, therefore, the number is -7
---------------------------------------------------------------------------------------------------------------
2. There are 3 shaded out of 6, making it 3/6. Once you reduce 3/6, you would get 1/2
-------------------------------------------------------------------------------------------------------------
Have a good day :)
Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0
Answer:
4
Step-by-step explanation:
h + h
h=2
2+2
4
Enter an equation that represents total cost, C, in dollars of the helium filled balloons for n party guests.
Answer:
c=n*126
Step-by-step explanation:
126 because if its 3 balloons per guest, then its $6 worth of balloons and $120 worth of helium per guest.
In a study to determine frequency and
dependency of cell-phone usage relative to
students in Grade 11 and Grade 12, there
were 285 students
chosen at random, and
the following results were recorded. What is the probability that a student who does not have a cell phone is from grade 11?
Using it's concept, it is found that there is a 0.6 = 60% probability that a student who does not have a cell phone is from grade 11.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Researching the problem on the internet, it is found that there are 30 students with no cell phones, and of those, 18 are in grade 11, hence the probability is given by:
p = 18/30 = 0.6.
0.6 = 60% probability that a student who does not have a cell phone is from grade 11.
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Hi I need help with this please help me
Answer:
if I'm correct the answer is 0.45x
PLEASE HELP ILL GIVE BRAINLY
Answer:
Student C
Step-by-step explanation:
The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.
Evaluate the numerical expression 4 x (8 - 2) + = []
Answer:
24
Step-by-step explanation:
4x(8-2)
=4x6
=24
IK THIS ISNT MATH BUT I NEED HELP ASAP!!
The table below gives the temperature at a certain place at different times of the day for 3 days. When did the wind become much colder?
The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant
Answer: [tex]2\ \text{units}[/tex]
Step-by-step explanation:
Given
Rate of increase in area of the circle is numerically equal to twice the rate of increase to twice the rate of increase in its circumference.
It can be written as
[tex]\Rightarrow \dfrac{d(\pi r^2)}{dt}=2\times \dfrac{(2\pi r)}{dt}\\\\\Rightarrow 2\pi r\dfrac{dr}{dt}=4\pi \dfrac{dr}{dt}\\\\\Rightarrow r=2\ \text{units}[/tex]
HELPP(David saves 12 % of his monthly salary.
If he saves $17.75, what is his monthly
salary?)
Answer:
147.92
Step-by-step explanation:
Let the monthly salary be x
He saves 12 % and that is 17.75
x* 12% = 17.75
Change to decimal form
x *.12 = 17.17
Divide each side by .12
x*.12 /.12 = 17.75/.12
x =147.91666666
Rounding to the nearest cent
x = 147.92
The point P(7, −3) lies on the curve y = 3/(6 − x). (a) If Q is the point (x, 3/(6 − x)), use your calculator to find the slope mPQ of the secant line PQ (correct to six decimal places) for the following values of x. (i) 6.9 mPQ = 1
Answer:
The right answer is "3.33333".
Step-by-step explanation:
The given points in the question are:
[tex]P=(7,-3) = (x_1,y_1)[/tex]
[tex]Q=(x,\frac{3}{6-x} )=(x_2,y_2)[/tex]
Now,
The slope of PQ will be:
= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
By putting the values, we get
= [tex]\frac{\frac{3}{6-x}+3 }{x-7}[/tex]
= [tex]\frac{3+18-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{21-3x}{(6-x)(x-7)}[/tex]
= [tex]\frac{3(x-7)}{(6-x)(x-7)}[/tex]
= [tex]\frac{3}{x-6}[/tex]
hence,
x = 6.9
it's slope will be:
= [tex]3.33333[/tex]