A mid-point divides a line segment into 2 equal parts . Hence the line is divided in 1 : 1 ratio.
Let
x(1) = -1
y(1) = -2
x(2) = -3
y(2) = 13
So according to Section formula , cordinate of the mid - point (x' , y') =
[tex](x' , y') = ( \frac{ {x}^{1} + {x}^{2} }{2} , \frac{{y}^{1} + {y}^{2} }{2} )[/tex]
So using the formula & putting the values above
[tex]( \frac{ - 1 - 3}{2} , \frac{ - 2 + 13}{2} )[/tex]
[tex] = > ( \frac{ - 4}{2} , \frac{11}{2} )[/tex]
[tex] = > ( - 2 , 5.5)[/tex]
So the mid - point is (-2 , 5.5)
if x=2⅓-2, then find the value of x³+6x²+12x
Answer:
-6
Step-by-step explanation:
In this equation it gives us the value of x which is,
×=2^(1/3)-2
x=-.74
We then need to plug in this value to, x³+6x²+12x
(-.74)³+6(-.74²)+12(-.74)
-6
Find the distance between each pair of points. Round to the nearest tenth
(-2,2) (5,2)
Answer:
Distance = 7
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(5-(-2))^2+(2-2)^2} \\d= \sqrt{(7)^2+(0)^2} \\d= \sqrt{49+0} \\d= \sqrt{49}\\ d= 7[/tex]
A rectangular pan has a length that is the width. The total area of the pan is 432 in.2. What is the width of the cake pan? A = lw 10.4 in. 13.9 in. 18 in. 24 in.
Answer:
Let width = w
length = 4w/3
Area = 432 = length*width = w*4w/3
4w^2/3 = 432
w^2 = 432*3/4 = 324
w = 18
so the width of the cake pan is 18 inches.
The width of the rectangular pan is 18 inches and this can be determined by using the formula of the area of the rectangle.
Given :
A rectangular pan has a length that is 4/3 the width.
The total area of the pan is 432 square inches.
The following steps can be used in order to determine the width of the cake pan:
Step 1 - The formula of the area of the rectangle can be used in order to determine the width of the cake pan.
Step 2 - The area of a rectangle is given below:
[tex]\rm A = LW[/tex]
where L is the length and W is the width of the rectangle.
Step 3 - According to the given data, the length is 4/3 the width.
Step 4 - Substitute the values of the known terms in the above expression.
[tex]\rm 432 = w\times \dfrac{4w}{3}[/tex]
Step 5 - Simplify the above expression.
[tex]\rm 432 = \dfrac{4w^2}{3}[/tex]
[tex]\rm w^2 = 324[/tex]
w = 18 inches
Therefore, the correct option is C).
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Find the slope and y−intercept. y − 8 = 2x + 6
In an experiment, every hour 20% of the total number of bacteria die, and those remaining bacteria
double. If there were originally 125 bacteria, how many are there after three hours?
Answer:
Hi there!
Your answer is;
There are 50 bacteria after 3 hours
Step-by-step explanation:
After three hours, with a rate of 20% an hour, 60% should have died
20% of 125 is?
100% is 125
/100
1% is 1.25
×60
60% is 75
125-75= 50
Hope this helps
Solve for x:
-4x+1`=-9x+16
Answer:
zxc
Step-by-step explanation:
xzcsdcasc
Answer:
x=3
Step-by-step explanation:
−4x+1+9x=−9x+16+9x
5x+1=16
Step 2: Subtract 1 from both sides.
5x+1−1=16−1
5x=15
Step 3: Divide both sides by 5.
5x/5 =15/5
x=3
-1x + 4y <4
how to slove this
Answer: y = 1/4x + 1
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What is 5000000+2000
Answer:
Step-by-step explanation:
5000000
+ 2000
5002000 (Answer)
Tom bought 8 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 32 cards left. How many cards did Tom start with ?
Answer:
56
Step-by-step explanation:
Factorize completely
- 3a² + 4a + 4
A.)4
B.)10
C.)18
Which one could be the answer I’m lost.
f(x) = ((x^2) / 3) + x, for f(6)
f(6) = ((6^2) / 3) + 6
Square 6
f(6) = (36 / 3) + 6
Divide 36 by 3
f(6) = 12 + 6
Combine like terms
f(6) = 18
which one of them is it?
Answer:
[tex]\boxed{\tt A. \angle8 \ and \angle 7}[/tex]
Step-by-step explanation:
Supplementary angles are angles that add to 180 degrees.
Let's examine the answer choices.
A. ∠8 and ∠7
⇒ These angles are on a straight line together, so they are supplementary.
B. ∠5 and ∠1
⇒ These angles have no relation to each other. They are on different lines that are not parallel.
C. ∠7 and ∠4
⇒These angles also have no relation to each other.
D. ∠2 and ∠4
⇒ These angles are vertical, but not supplementary.
The correct answer is A. ∠8 and ∠7
Which of the following statements does not represent the same value as the others?
a) the distance between 0 and −9
b) the absolute value of negative 9
c) the opposite of 9the absolute value of 9
The statement that does not represent the same value as the others is 'the opposite of 9'
What is an absolute value of number?"It is the actual distance of the number from zero."
What is opposite of a number?"The opposite of number is a value which is an additive inverse of number.""The opposite of number 'a' is '-a'."For given question,
We need to find the statement which does not represent the same value as the others.
We find the value for each statement.
a) the distance between 0 and 9
The distance between 0 and 9 is 9.
b) the absolute value of negative 9
We know, |-9| = 9
So, the absolute value of -9 is 9
c) the opposite of 9
The opposite of 9 is -9.
d) the absolute value of 9
|9| = 9
So, the absolute value of 9 is 9.
Therefore, the statement that does not represent the same value as the others is 'the opposite of 9'
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The scale on a drawing is 2 inches:5 yards. If a length on the drawing is 6 inches, what is the actual length?
Answer:
the actual length is 15 yards
Y=x-9
Help if possible
answer to the problem is 9
If my function rule is y=x + 3, what is the OUTPUT if the input is 4?
Answer:
7
Step-by-step explanation:
The output is 'y'. The input would be 'x'.
[tex]y=x+3\\\\y=4+3\\\\y=7[/tex]
The output should be 7.
Hope this helps.
The output for the function y=x + 3 at input x = 4 will be y = 7.
What is a function?The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.
Given the function is y=x + 3. the value of the output at input x = 4 will be calculated as:-
y = x + 3
Put x = 4 in the function.
y = 4 + 3
y = 7
Therefore, the output for the function y=x + 3 at input x = 4 will be y = 7.
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You earn $15 an hour tutoring and $9 an hour working at the Sippy Drink. You can tutor a maximum of 10 hours a week. You have to put in at least 20 hours a week at the Sippy Drink to keep your job there. You can't work more than 40 hours a week. how many hours should you work at each job to earn the maximum amount of money a week?
Answer:
5hours
Step-by-step explanation:
1 week =7 days
10 hr +20hr = 30 hrs
If you work 4hrs a wee k you will achieve only 28hrs of work so you will have to work for 5hrs to achieve 35hrs of work which is still within the bracket of 40hrs of work
In each job you will work for 2hours 30
minute
Each day you will earn $60.00
At tutoring you get $37.50
At sippy drink you will get $22.50
In a week you will get a maximum of $420.00
SOMEONE HELP ASAP PLEASE
Answer:
1. 2
2. 2
3. 70
4. 73
Step-by-step explanation:
fill in the blanks according to numbers above
Answer:
= (3+2) + 68
= 3 (2+68)
= 3 + 70
= 73
Which one is it? Help
The answer would be letter B.
20 points!!!! please help fast!!!!
Answer:
0 m/s
Step-by-step explanation:
The line is flat so there is no movement
Answer:
b
Step-by-step explanation:
on this graph a horizantal line means no speed because there is no change in distance
The price of a dress in reduced by 60%. When the dress it is reduced by 60% of the reduced price. If the price of the dress after both reductions is 48$ what was the original price
Answer:
28.80$
Step-by-step explanation:
You are finding 60% of 48 because the question is asking what is the price of a 48 dollar item that is 60% off.
Help me solve the following
Answer:
C. c = 8
Step-by-step explanation:
Step 1: Write equation
7 - 3c = -17
Step 2: Subtract 7 on both sides
-3c = -24
Step 3: Divide both sides by -3
c = 8
Answer:
C)8
7-3c=-17
-3c= -24
c=8
i dont know can someone help me
Answer:
x = 11/4
Step-by-step explanation:
[tex]\frac{x+8}{4} = \frac{6x+5}{8}[/tex]
Step 1: Cross-multiply.
[tex](x+8)*(8)=(6x+5)*(4)[/tex]
[tex]8x+64=24x+20[/tex]
Step 2: Subtract 24x from both sides.
[tex]8x+64-24x=24x+20-4x[/tex]
[tex]-16x+64=20[/tex]
Step 3: Subtract 64 from both sides.
[tex]-16x+64-64=20-64[/tex]
[tex]-16x=-44[/tex]
Step 4: Divide both sides by -16.
[tex]\frac{-16x}{-16} = \frac{-44}{-16}[/tex]
[tex]x = \frac{11}{4}[/tex]
Triangle DEF is a right triangle. What is the measure of ZEFD?
D
57°
F
E
Answer:
33°Step-by-step explanation:
Sum of measures of angles in any triangle is 180°
The maesure of right angle is 90°
So: m∠EFD = 180° - 90° - 57° = 33°
A field in the shape of a square has an area of 8,100 square feet. How can you determine the length of one side of the field?
To determine the length of one side use the formula for the area of square. As a square is equal on all four sides, finding one length results in any of the four. Solve using the formula and you receive your answer of 90.
A = s²
8100 ft² = s² (set up formula)
√8100 ft² = s² ( get s alone by squaring both sides)
90 ft = s (answer)
We can conclude that the side of the given square with an area of 8100ft² is 90ft.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length. A square is a two-dimensional plane object in geometry that has four equal sides and four equal but 90-degree angles.So, the area of the square is 8100ft².
Formula: s²So, we know that: 8100 = s²Now, calculate for s as follows:
s² = 8100s = √8100s = 90ftTherefore, we can conclude that the side of the given square with an area of 8100ft² is 90ft.
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Solve the formula for m.
e = mc2
m =
Answer:
m = e/c^2
Step-by-step explanation:
Equation: e = mc^2
Isolate m: e/c^2 = mc^2/c^2
Cancel out: e/c^2 = m
Identify the geometric mean of 10 and 5/8.
24.08319
Step 1 : Find 1 / N
1 / N = 1 / 5 = 0.2
Step 2 : Find mean
GM = ( 1 * 3 * 5 * 7 * 10 ) 0.2
= ( 1050 ) 0.2
GM= 4.020
I need help need to turn in in less than 20 min
Which statement is true about the value of |6|?
Answer:
C
Step-by-step explanation:
I got it right on a quiz
a ball is dropped from rest from a high window of a tall building and falls for 4 seconds. Neglecting air resistance. The final velocity of the ball is m/s. (g=-9.8m/s 2) the first person to answer me gets the brainliest
Step-by-step explanation:
v=u+at
v=0+9.8m/s2 ×4s
v=39.2 ms-1
Final velocity; v = -39.24 m/s
In free fall, the motion is in the direction of gravity.
Formula for final velocity in free fall is;
v = u + gt
(g is negative)
We are told the ball is dropped from rest.
Thus;
Initial velocity: u = 0 m/s
Time; t = 4 secs
Acceleration due to gravity; g = -9.81 m/s²
Thus, Plugging in the relevant values, we have;
v = 0 + (-9.81 × 4)
v = -39.24 m/s
Final velocity; v = -39.24 m/s
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