Answer:
Find the distance between (-1, 1) and (3, 4).
This problem is solved simply by plugging our x- and y-values into the distance formula:
D=(3−(−1))2+(4−1)2−−−−−−−−−−−−−−−−−−√=
=16+9−−−−−√=25−−√=5
Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments.
If the end points of a line segment is (x1, y1) and (x2, y2) then the midpoint of the line segment has the coordinates:
(x1+x22,y1+y22)
Initially, there were only 197 weeds at a park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth: f(x) = 1
the function to show how quickly the weeds grow each day and calculate this rate as a percentage.
Answer:
D
Step-by-step explanation:
This question is written very poorly because it is hard to know what x represents, as well as the end equation. I have come to the conclusion that x represents the amount of days and the end equation represents the exact same equation given (as it asks to rewrite the equation)
So, it is obvious that only one equation matches the one given -- as (1.03)^7 is approximately 1.23, which is close enough to 1.25 (compared to the other options), D is our answer
A and B have both 1.25^7 = around 4.77 (480% ish), and C has 1.03^x, which is not very close to 1.25
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
What is an exponent?Consider the function:
y = a (1 ± r)ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
Initially, there were only 197 weeds at the park. The weeds grew at a rate of 25% each week. The following function represents the weekly weed growth:
f(x) = 197(1.25)ˣ
If the growth of the weed is shown by each day will be given as,
r = 0.25 / 7
r = 0.03
Then the function is given as,
f(x) = 197(1.03)⁷ˣ
The growth of the weed is shown by each day will be f(x) = 197(1.03)⁷ˣ. Then the correct option is D.
More about the exponent link is given below.
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In which choice do all three points lie on the same straight line?
A. (0,0) (1, 1) (2, 4)
B. (5, 1) (-3,0) (-1,2)
C. (2, 10) (4.9) (5,8)
D. (0.1) (2,3) (4,5)
Answer:
D) (0,1) (2,3) (4,5)
Step-by-step explanation:
Explanation
Given Points are A(0,1) , B(2,3) , C(4,5)
slope of the AB
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{3-1}{2-0} =\frac{2}{2} =1[/tex]
Slope of BC
[tex]= \frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-3}{4-2} =\frac{2}{2} =1[/tex]
Therefore slope of AB and BC are equal
The three points lie on same straight line
The three points are collinear points
how do yo do this question I have to
Solve the System by Substitution:
y = x-2
x + y = 4
Answer:
x=3
y=1
Step-by-step explanation:
We know that y is basically two less than x, so we can plug that into the second equation:
x+ (x-2) = 4
We can now simplify:
2x-2=4
2x=6
x=3
After finding x we can now find y with any equation (both work):
y= 3-2
y=1
Hope this helped!
Answer:
x = 3, y = 1Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
( 3 , 1 )
Hoped this helped :}In Gwinnett, the sales tax is 6%. You buy a watch that costs $45.50. What is the TOTAL cost including tax?
Answer:The answer is 48.23
Anwser this question for brainlist
The ratio of athletes to non-athletes
at Browns Primary School is 3:4. If
there are 225 athletes in the school,
how many non-athletes are there?
Answer:
3:5
225 overhere is 3
225/3=75
4 x 75=300
300 non-athletes
Step-by-step explanation:
A forest covers 49,000 acres. A survey finds that 0.3% of the forest is old-growth trees. How many acres of old-growth trees are there?
Answer:
0.0000612
Step-by-step explanation:
Answer: 86 I believe
Step-by-step explanation:
48 pens are packaged in 4 boxes.
how many pens are packaged in 9 boxes?
Answer:
108 pens
Step-by-step explanation:
help pls , thank you for all who comment ! <3
Answer:
I think 23 yards
Step-by-step explanation:
not confirm
-7x+ 14-04. I need helppp plsss
Answer:
The answer is -7x + 10
Subtract 4 from 14.
Hoped this helped!
If u are selling 5 cans of soup for $12.75 how much is each of them
Answer:
63.75
Step-by-step explanation:
12.75 times 5
Is the ordered pair (-3, 16) a solution for y=-3x + 7?
Answer: Yes
Step-by-step explanation:
(-3, 16) split into place would give you 16= -3-3 + 7. A negative times a negative is always a positive number so, -3 x -3 = 9, 9+7=16
18. The sum of the measures of the interior angles of a convex polygon is ten times the sum of the measures of its exterior
angles. Find the number of sides of the polygon.
Answer:
22Step-by-step explanation:
Let the number of sides ne n
Sum of interior angles:
180(n - 2)Sum of exterior angles:
360We have equation below to solve for n:
180(n - 2) = 10*360n - 2 = 20n = 22Solve *plz be quick*
Answer:
9(10-2)=
90-18=72
11×7-23=54
100-15+23=108
16/8=2
Step-by-step explanation:
prove me wrong
Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms
Answer:
terms = 7.6p-7p and 9c-4
coefficients =76, 7, 9 and 4
constant terms= 4
Lydia can paint 5/8 of a room in 2/3 of an hour. What is her unit rate?
[tex] \frac{10}{11} [/tex]
[tex] \frac{15}{16} [/tex]
[tex] \frac{7}{11} [/tex]
[tex] \frac{5}{12} [/tex]
Answer:
The answer is
[tex] \frac{15}{16} [/tex]
Which triangles are similar?
123
13
112
670
0
5
Triangle A
36
139
15
28
B
17
670
15
Triangle c
Triangle B
Answer:
Triangle A and C
Step-by-step explanation:
Because sum of the angles in triangle A=179 and also sum of angles in triangle C=179
Find a pair of integers with a product of -84 and a sum of 5.
Answer:
12 x -7 = -84 12 + (-7) = 5
Step-by-step explanation:
sina×tga=1/2, cosa=?
Answer:
cos a = -1.28 and 0.78
Step-by-step explanation:
The question is not properly written. This is the correct question:
If sina×tan(a) = 1/2, find cosa
According to trigonometry identity;
tan a = sina/cosa
sina×tan(a) = sin a * sina/cosa
sin²a/cos a = 1/2
(1-cos²a)/cosa = 1/2
Cross multiply
2(1-cos²a) = cos a
2 - 2 cos²a = cos a
2cos²a + cos a - 2 = 0
Let P = cos a
2P² + P -2 = 0
P = -1 ±√1-4(2(2)/2(2)
P = -1 ±√1+16/4
P = -1 ±√17/4
P = -1±4.12/4
P = -1-4.12/4 and -1+4.12/4
P = -5.12/4 and 3.12/4
P = -1.28 and 0.78
Since P = cos a
Hence cos a = -1.28 and 0.78
If you have 40.495 / 1,000,000 - 4,000+ 6,000,900
...................
what
HELP 80 POINTS DUE SOON
Answer:
a = 1
Step-by-step explanation:
The important point here is that both lines are horizontal reflections of each other. If we treat the line x = a as a kind of "mirror" for these lines, every point at the same y value on each line is going to be an equal horizontal distance from that "mirror". If that's confusing, think about how, as you pull your hand away from a mirror, your hand's reflection seems to go deeper into it. As you bring it closer, your reflection gets closer too. And when you're touching the mirror, it seems like your hand and its reflection are touching!
We want to find that "touching" point for the two lines, the intersection, because it'll tell us exactly where our "mirror" - more commonly called the axis of symmetry - is. The point of intersection of any two lines is the point where their equations are exactly equal to each other.
Our equations are y = 3x - 5 and y = 1 - 3x, so setting those two equal to each other and solving for x:
[tex]3x-5=1-3x\\6x=6\\x=1[/tex]
This tells us that the two lines intersect at x = 1, which is exactly our axis of symmetry, so a = 1!
Original quantity: 10 New quantity: 16
Answer:
what do you mean
Step-by-step explanation:
Is that the real answer at the top and what’s the Raleigh Rocket’s score ?
Answer:
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
Step-by-step explanation:
Let c be the Castways score and r be the Raleigh Rocket’s score
Then
According to given statements, the equations will be:
[tex]c+r = 96\\r = \frac{1}{3}c[/tex]
From equation 2
[tex]3r=c[/tex]
Putting c = 3r in equation 1
[tex]3r+r = 96\\4r = 96\\\frac{4r}{4} = \frac{96}{4}\\r = 24[/tex]
Putting the value of r in equation 2
[tex]r = \frac{1}{3}c\\24 = \frac{1}{3}c \\c = 24*3\\c = 72[/tex]
Hence,
The scores are as follows:
Caroline Castways = 72
Raleigh Rockets = 24
I need help who can help me with this ?
Answer:
15
205
45
Step-by-step explanation:
all arc measures are equivalent to the corresponding angle within the circle
10) 15
11) subtract all other angles from 360 to find missing angle
360= 15+95+45+x
360=155+x
205=x
12) 45
Convert 0.838383 into a fraction
Answer:
8jdhdhdhdhfbdudhdhdhd
13 = -2 ( y - 4 ) + 3y
Answer:
Y= 5
Step-by-step explanation:
Answer:
y=5
Step-by-step explanation:
13= -2y+8+3y
13= y +8
-8 -8
5= y or y=5
I hope this helps!!
If abc=dec, b=5x and e = 45
What is x?
Answer:
9
Step-by-step explanation:
5(9)=45
Answer:
Step-by-step explanation:
a5xc=d45c
according to this equality,
x=5
Factor out the coefficient of the variable term.
The expression 0.15c-0.072 factored is: ?
Answer:error
Step-by-step explanation:
An expression is combination of variables, numbers and operators. The factor of expression 0.15c-0.072 is 0.15(c-0.48)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is
zero point one five times of c minus zero point zero seven two.
Expression 0.15c-0.072
A factor is a number that divides another number, leaving no remainder.
0.15c-0.072
Let us take 0.15 common
0.15(c-0.48)
Hence the factor of expression 0.15c-0.072 is 0.15(c-0.48)
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Cheryl took her family to the movies and purchased 3 child tickets and 4 adult tickets for $69. Tyrone purchased 3 adult tickets for $36. Let x represent the cost of a child ticket (in dollars) and y represent the cost of an adult ticket (in dollars). Use a graph to find the cost of a child movie ticket and the cost of an adult movie ticket.
Answer:
Child ticket = $7, adult ticket = $12Step-by-step explanation:
3 child tickets and 4 adult tickets for $69:
3x + 4y = 693 adult tickets for $36:
3y = 36Graph is attached
As per graph, x = 7, y = 12
Child ticket = $7, adult ticket = $12
i need help!!!!!!!!!