Finding the slope of a line.
Find an equation for the perpendicular bisector of the line segment whose end points are (-9,-8) and (3,-2)
Answer:
[tex]y=-2x-11[/tex]
Step-by-step explanation:
Slope of the line segment = [(-8)-(-2)]/[(-9)-3]=-6/-12=1/2
Slope of the perpendicular bisector x slope of line segment = -1
Slope of perpendicular bisector = -2
Mid-point of line segment = ((-9+3)/2, (-8+(-2))/2) = (-3, -5)
The perpendicular bisector passes through the mid-point.
By point-slope form,
[tex]\frac{y-(-5)}{x-(-3)} = -2\\y+5=-2x-6\\y=-2x-11[/tex]
Robby age 4 potato chips. Jimmy ate p times as many potato chips. Which expression shows how many potato chips jimmy ate?
Answer:
The answer is 4 x p.
Hope this helps! :)
what is 5 1/2+ 2 1/7
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.
========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
Please help. . . . . . . . .
9514 1404 393
Answer:
recursive: 5, 3, 2
explicit: 5, 3
Step-by-step explanation:
First of all, you can identify the first term as a1 = 5.
Then you can see that the ratio of consecutive terms is ...
15/5 = 45/15 = 135/45 = 405/135 = 3 . . . the common ratio
In the recursive formula, a1 is the first term (5), and the multiplier getting you to the next term is the common ratio (3). The recursion relation is good for values of n such that n-1 is at least 1. That is, n ≥ 2.
[tex]\text{The recursive rule is }a_1=\boxed{5}\text{ and }a_n=\boxed{3}a_{n-1}\text{ for }n\ge\boxed{2}[/tex]
__
The explicit rule is formed the way the problem statement tells you: the first term times a power of the common ratio.
[tex]\text{The explicit rule is }a_n=\boxed{5}(\boxed{3})^{n-1}[/tex]
9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.
A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9
Answer:
Option B: 6x-4=50; x=9 is the correct answer.
Step-by-step explanation:
Given that:
x is the variable used for number.
6 times a number means 6x and difference means subtraction.
Thus according to given statement;
6x - 4 = 50
Adding 4 on both sides
6x - 4 + 4 = 50+4
6x = 54
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]
Hence,
Option B: 6x-4=50; x=9 is the correct answer.
1.
Write the ratio 2:6 in its simplest form.
Answer:
1:3
Step-by-step explanation:
2:6 common multiple is 2 so 2:6 divide by 2 is 1:3
Answer:
1:3
Step-by-step explanation:
this is the answer understand
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
there is more i need to take more pictures of it
Round 992 to the nearest ten
Answer:
990
Step-by-step explanation:
990
2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0
Ivan and Tanya share £150 in the ratio 4:1
Work out how much more Ivan gets compared to Tanya.
How much more does Ivan get?
Find the volume of the following cube.
A. 12 cubic yards
B. 16 cubic yards
C. 46 cubic yards
D. 64 cubic yards
Step-by-step explanation:
Volume of a cube
= (Side length of cube)³
= (4 yards)³
= 64 cubic yards. (D)
7/y = 3x make y the subject
Answer:
7/y=3x
(3x)y=7
y=7/3x
Using your knowledge of inverse operations, the inverse operation for the equation 4,560/120 = 38 is ______?
38/120 = 4,560
38 * 120 = 4,560
4,560/38 = 120
4,560 * 38 = 120
Given:
The equation is
[tex]\dfrac{4560}{120}=38[/tex]
To find:
The inverse operation for the equation using the knowledge of inverse operations.
Solution:
We have,
[tex]\dfrac{4560}{120}=38[/tex]
Here, 4560 is divided by 120. So, in this equation the operation is division.
We know that inverse operation of division is multiplication. So, multiply both sides by 120.
[tex]\dfrac{4560}{120}\times 120=38\times 120[/tex]
[tex]4560=38\times 120[/tex]
It can be written as
[tex]38\times 120=4560[/tex]
The inverse operation for the equation is [tex]38\times 120=4560[/tex].
Therefore, the correct option is B.
4) What type of sequence is shown: 1, 2, 4, 7, 10,...
Answer:
Stohr sequence
Step-by-step explanation:
Let a_1=1 and define a_(n+1) to be the least integer greater than a_n which cannot be written as the sum of at most h>=2 addends among the terms a_1, a_2, ..., a_n. This defines the h-Stöhr sequence
Enter a numerical expression for the word expression.
11 decreased by 8
I'll give you a Brainly please help me
Answer:
Step-by-step explanation:
A= (7,-9)
B= ( 6,-12)
Addy bough 4 frozen pizzas for the same price each. Her total cost was $12. What was the cost of each pizza.
x + 4 = 12
Answer:
The answer is 3.
You have to do $12 divided by 4 pizzas which is 3. This means that each pizza cost $3.
Hope this helps.
How would the one-step equation 5s = 240 be solved?
Multiply one side by 5
Multiply both sides by 240
Divide both sides by 5
Divide one side by 5
Answer: Divide both sides by 5
Step-by-step explanation:
if x = -3 is a zero of f(x), which of the following must be true?
a) A factor of f(x) is (x – 3)
b) A factor of f(x) is (x + 3)
c) x = 3 is also a zero
d) f(x) has no real solutions
Answer: B
Step-by-step explanation: You make the values in the parentheses equal to zero.
(X + 3) = 0
X = -3
A is wrong because the root would be 3, not negative 3. C is wrong because 3 isn’t guaranteed to be a root. D is wrong because -3 is a real solution.
Combine like terms:
3x - 5y - 2x + 3 + 8y + 10
Answer:
x+3y+13
Step-by-step explanation:
combine like terms
Answer:
Step-by-step explanation:
you will combine the like terms, x, y and numbers
3x-2x=x
-5y+8y=3y
3+10=13
x+3y+13
(4y' - 49 +8) - 092-y+3)
Answer:
3y-130
Step-by-step explanation:
hope this was helpful! c:
Answer:
3y-130 hope this helps
Step-by-step explanation:
Solve for s.
3 = s - 2
s=
Answer:
3 = s - 2
s = 3 - 2
s = 1
what was hard lol
Pls help with this.
Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}
Answer: domain: {-2, -1, 0, 1}
range: {0, 1, 2, 3}
1.8 L
1,500 mL
Is this greater than,less than,or equal to?
Answer: use math)way
Step-by-step explanation:
In a study, the sample is chosen by writing everyone's name on a playing card, shuffling the deck, then choosing the top 20 cards. What is the sampling method?
A. Simple Random.
B. Systematic.
C. Stratified.
D. Convenience.
Answer: A. Simple Random Sampling
Step-by-step explanation:
A simple random sampling technique could be explained as being the most basic and approach to choosing an unbiased Number of samples from a given population. This technique simply involves choosing a specified Number of samples at random (each member of the larger sample or population has equal Chance of being selected) from a larger sample or population. It does not require any sort of partitioning during selection. As in the scenario above, the deck of cards represents the large lr population from which 20 cards are to be selected, since the card has been shuffled then each card has equal Chance of being selected.
Sydney invests money in an account paying a simple interest of 5.2% per year. If no
money will be added or removed from the investment, what should she multiply her
current balance by to find her total balance in a year in one step?
Answer:
She should multiply her current balance by 1.052.
Step-by-step explanation:
Her investment is an account with a simple interest of 5.2% per year.
So in one year, she will have 100% + 5.2% = 105.2% of her initial amount. To find the multiplier, we divide by 100%. So
105.2%/100% = 1.052
She should multiply her current balance by 1.052.
Which equation is graphed below?
Hope it will help you