Step-by-step explanation:
6×5+3×8( apply bodmas ) brackets , of division, multiple , addition , substraction ,( you start with multiplication)
30+24
54
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!
Point L is represented by the ordered pair (4, -3) and is shown on the coordinate plane below.
a. Point M is 5 units away from point L. Plot two different locations that could represent where point M is on the coordinate plane. List the coordinates below.
b. Point K is located at (-7, -3). What is the length of the line segment between point L and point K? Show or explain your answer using absolute value.
Part (a)
Answer: Point M could be at (9, -3) and could be at (-1, -3)
There are infinitely many answer choices
----------------------------------------------
Explanation:
We start at point L(4,-3). We could move 5 units to the right. Doing so means we add on 9 to the x coordinate to get 4+5 = 9. That moves us to (9,-3) which is one possible location for point M.
Now move back to point L(4,-3). Let's move 5 units to the left and we'll get to (-1,-3) which is another possible location for M. I subtracted 5 from the x coordinate of (4,-3).
There are infinitely many places M can be. It turns out that M can be anywhere on the circle of radius 5 and centered at (4,-3). The equation of this circle is (x-4)^2 + (y+3)^2 = 25.
===============================================================
Part (b)
Answer: 11 units
----------------------------------------------
Explanation:
Point L is at (4, -3)
Point K is at (-7, -3)
Both have -3 as the y coordinate. So we focus on the distance between the x coordinates.
To find that x coordinate distance, we subtract and use absolute value like so
|x1-x2| = |4 - (-7)| = |4 + 7| = |11| = 11
Order doesn't matter with subtraction that involves absolute value
|x2-x1| = |-7-4| = |-11| = 11
Either way, we see that the distance from K to L is 11 units. This is the same as the length of segment KL.
Answer:
a. M1 = (0, 0), M2 = (4, 2)
b. LK = |-7-4| = 11
Step-by-step explanation:
a. The infinite number of points that are 5 units from point M comprise a circle of radius 5 centered at M. There are 12 points on that circle that have integer coordinates.
Conveniently, 5 is the hypotenuse of a right triangle with sides 3 and 4. So, any point that has coordinate differences from L that are (±3, ±4) or (±4, ±3) will be 5 units away. (The signs can be chosen independently, so that's a total of 8 points.) Of course, points 5 units away on the same horizontal or vertical line will also be possible locations of point M: (4±5, -3) or (4, -3±5), a total of 4 more points.
The points we have shown in the attachment are (4, 2) and (0, 0).
__
b. The distance formula can tell you the length of LK:
LK = √((-7-4)² +(-3-(-3))²) = √(-11)² = |-11| = 11
A length is always positive. The distance along a horizontal line can be found by subtracting one end-point x-coordinate from the other. In order to ensure the length is positive, the absolute value of the difference must be used.
In the case of the distance formula, we end up with √(d²) = |d|, where d is the difference of x-coordinates on the horizontal line.
24. There are 10 pupils in a class. Half of them are
girls. What is the probability of selecting a girl
from the class for a trip to the zoo?
Find the product in lowest terms.
15/32⋅36/28⋅44/12
Answer:
495/224
Step-by-step explanation:
15/32⋅36/28⋅44/12
= (15/32(9/7))(44/12) [simplify 36/28]
=135/224 (44/12) [multiply]
=135/224 (11/3) [simplify 44/12]
=495/224 [cross multiply]
[answer]
I solved this answer already and I got 43, but I don’t know if it’s correct so
Can someone Solve this problem and show the steps please
Answer:
= 43
Step-by-step explanation:
{7 × [tex]2^{3}[/tex] - 7} -2 ×3
Solve the brackets first
{7 × 8 - 7} -2 ×3
{56 - 7} -2 ×3
49 -2 ×3
49 -6
= 43
you are right
21/5 + 4/3 - 1/2
what is the answer
Answer:
151/30
Step-by-step explanation:
hopefully it is clear and understandable...and visible
:)
4. There are 10 pupils in a class. Half of them are
girls. What is the probability of selecting a girl
from the class for a trip to the zoo?
Answer:
hello :)
no quite sure but I think it is:
50/100
Question 24 (1 point)
(01.05)
What is the equation of a horizontal line passing through the point (-7,5)? (1 point)
Оа
y = 5
Ob
y=-7
Ос
x=5
Od
x = -7
L
9514 1404 393
Answer:
(a) y = 5
Step-by-step explanation:
The equation of a horizontal line can be written as ...
y = constant
In order to make that line pass through a given point, the constant must match the y-coordinate of the point. Here, that is 5.
y = 5
I NEED HELP PLZ!!! Let A=[−1 2 4 0] and v=[8 6] . Which of these is equivalent to Av?
Answer:
D. (16, 16)
Step-by-step explanation:
[(-1×8)+(4×6) , (2×8)+(0×6)]
[(-8 + 24) , (16 + 0)]
= [16 , 16]
Which words or words show that the author is giving a definition
A: are called
B: the most
C:however
D:differently
Answer:
A: are called
Step-by-step explanation:
defintion is an explanation of the meaning of word, phrase etc
please show work 3d – 4 + d = 8d – (-12)
Answer:
d = -4
Step-by-step explanation:
3d – 4 + d = 8d – (-12)
3d - 4 + d = 8d + 12
4d - 4 = 8d + 12
(4d - 4d) - 4 = (8d - 4d) + 12
-4 = 4d + 12
-4 - 12 = 4d (+ 12 - 12)
-16 = 4d
-16/4 = 4d/4
d = -4
Answer:
d= -4
Step-by-step explanation:
3d- 4 +d = 8d + 12
4d - 4 = 8d + 12
4d = 8d + 16
-4d = 16
d= -4
Check
-12 - 4 - 4 = -32 + 12
-20 = -20
Order the fraction in ascending Order
Answer:
1/2, 6/10, 2/3, 3/4
Step-by-step explanation:
Answer:
[tex] \frac{1}{2} \: \frac{6}{10} \: \frac{2}{3} \: \frac{3}{4} [/tex]
Step-by-step explanation:
1. find the Lowest common multiple
which is 60
2. multiple both the numerators and denominators, and make all the denominators 60
[tex] \frac{36}{60} \: \frac{30}{60} \: \frac{45}{60} \: \frac{40}{60} [/tex]
3. list these fractions in ascending order
What is the sum of 870-12.3
Please someone help me with this
Answer:give me brainlist
Step-by-step explanation:
Is 4-2n = 5-n+1 a one solution or a no solution or is it a real number
Answer:
No solution
Step-by-step explanation:
Answer: One solution.
n=-2
Step-by-step explanation: 4−2n=5−n+1 4+−2n=5+−n+1 −2n+4=(−n)+(5+1) −2n+4+n=−n+6+n −n+4−4=6−4 −n/-1=2/-1 n=-2
I need help on this.
Answer:
Step-by-step explanation:
Jose is right
Please help and show the work
9514 1404 393
Answer:
(C) no solutions
Step-by-step explanation:
If you multiply the first equation by 2, you get ...
2x +2y = 4
When you compare this to the second equation ...
2x +2y = 8
you realize there are no values of x and y that can satisfy both equations. There are no solutions.
Please Help ME!!!
1. If ST=17 and RT=47, find RS. Use the number line below.
<-R---------------------------------------------------------------------------S---------------------------------T->
2.On a number line, suppose point E has a coordinate of 3 , and EG=6. What are the possible coordinates of point G?
3.Find the length of the segment _AB_.
<-12-------'-11'-'-10'-9'-9'-'-8'-'-7'-'-6'-'-5'-'-4'-'-3'-'-2'-'-1'-0-'1'-'2'-'3'-'4'-'5'-'6'-'7'-'8'-'9'-'10'-'11'-'12'
A is -2 and b is 4 the length is?
Please help me!
Answer:
#1Segment addition:
RS + ST = RTRS + 17 = 47RS = 47 - 17RS = 30 units#2There are two possibilities:
G is to the left of E. Then G = 3 - 6 = -3G is to the right of E. Then G = 3 + 6 = 9So possible coordinates of G are -3 or 9
#3The length of the segment is the absolute value of the difference of the end point coordinates.
AB = 4 - (-2) = 4 + 2 = 6 unitsStep-by-step explanation:
1
RS = RT - ST
RS = 47 - 17
RS = 30 cm
2.
Coordinate = 3 ± 6
If 3 + 6 = 9
If 3 - 6 = -3
3
AB = 4 - (-2)
AB = 6
what is the estimate of 66 square root
Answer:
your answer is 8.124. √66= 8.124
jim invested his savings in two investment funds. the amount he invested in fund A was $3000 less than the amount he invested in fund B. Fund A returned a 8% profit and Fund B returned a 7% profit. How much did he invest in Fund B, if the total profit from the two funds together was $960?
Answer:
$8000
Step-by-step explanation:
Let it be that investment in A is x dollars, then Jim invested in B x+3000.
x/100*8=0.08x- the profit from A, (x+3000)/100*7= 0.07x+210
0.08x+0.07x+210=960
0.15x=750
x=750/0.15= 5000
5000+3000=8000dollars- investment in B
The required amount invested in Fund A is $5000, and in Fund B is $8000.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
Let the amount invested in fund A be x, and the amount invested in fund b be y.
x = y - 3000 - - - - - - - - - - -(1)
0.08x + 0.07y = 960 - - - - - - - - (2)
From the equation, 1
[y - 3000]0.08 + 0.07y = 960
y = $8000
Now,
x = 8000 - 3000
x = 5000
Thus, the required amount invested in Fund A is $5000, and in Fund B is $8000.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
Find an
expression which represents the difference when (-x+9y) is subtracted
from (-6x + 4y) in simplest terms.
Answer:
5x + 13y
Step-by-step explanation:
-x + 9y- (-6x) + 4y
-x + 9y + 6x +4y
(-x + 6x) + (9y + 4y)
5x + 13y
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.
9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48
help asap
Answer:
45678
Step-by-step explanation:
A rectangular cardboard has dimensions as shown. The length of the cardboard can be found by dividing its area by its width. What is the length of the cardboard in inches?
Rectangle with width labeled on the right, width equals 4 and 1 over 4 inches. Below the rectangle, it says, length equals question mark. Inside the rectangle, it says, area equals 41 and 2 over 3 square inches.
9 and 41 over 51
10 and 1 over 4
36 and 5 over 6
174 and 29 over 48
help asap
what is the sum of (-5a ^2 + a + 2) + ( 2a^2 - a - 9)
(-5a² + a + 2) + (2a² - a - 9) =
= -5a² + a + 2 + 2a² - a - 9 =
= -5a² + 2a² + a - a + 2 - 9 = -3a² - 7
Q.1 List all perfect squares between 0 and 400.
Thxxxx
Answer:
0,1,4,9,16,25,36,49,64,81,121,144,169,196,225,256,289,324,361,400
find the smallest number which is exactly divisible by 12 and 16
Answer:
48 is the answer..........
Fitness 19 charges a $44 sign up fee and $30 per month. LA fitness charges a $99 sign up and $25 per month. For what number of months is the cost the same?
Answer:
11 months
Step-by-step explanation:
Let x = months
y = total cost
Since Fitness 19 charges $30 a month, we multiply x by 30 like this: 30x
$44 is already added on the cost, so the Fitness 19 equation will look like this:
y = 30x + 44
Since LA Fitness charges $25 a month, multiply x by 25 like this: 25x
$99 is already added to the cost, so the LA Fitness equation will look like this:
y = 25x + 99
We need to find the point where they are both the same
30x + 44 = 25x + 99
First, move like terms to one side by subtracting 25x from both sides
30x + 44 = 25x + 99
- 25x - 25x
5x + 44 = 99
Then, subtract 44 from both sides
5x + 44 = 99
- 44 - 44
5x = 55
Finally, isolate the variable, x, by dividing both sides by the coefficient, 5
5x/5 = 55/5
x = 11
PEASE HELP ME 70 POINTS
Answer:
x: -2
f(x): 1.5
x: 0
f(x): 0.5
x: 3
f(x): -1
Step-by-step explanation:
Answer:
3/2, 1/2, - 1
Step-by-step explanation:
x + 2y = 1 --> this is 'f(x)'. Sub in the each x-value to the equations.
First part:
x = -2
x + 2y = 1
-2 + 2y = 1
2y = 3
y = 3/2
Second part:
x = 0
x + 2y = 1
0 + 2y = 1
2y = 1
y = 1/2
Third part:
x = 3
x + 2y = 1
3 + 2y = 1
2y = -2
y = -2/2
y = - 1
Rewrite without parentheses-8w^2x^6(7x^3+3w-6)
Answer:
-56w^2x^9-24w^3x^6-48w^2x^6
Step-by-step explanation:
Expand by distributing terms.
-(56w^2x^9+24w^3x^6-48w^2x^6)
Then remove the parentheses
which numbers are solutions to the equation 30=x2? select all that apply
Answer:
one,tow,four
Step-by-step explanation:
what times tow equels thirty use that answer to help
H.O.T. Problems Higher Order Thinking
11. GCSS Use Math Tools Find examples of grocery item prices in a
newspaper, on television, or on the Internet. Compare unit prices of two
different brands of the same item. Explain which item is the better buy.
Answer: you would save 26 dollars per tire if you got the special deal instead of the normal price.
Step-by-step explanation: a pair = 2 (this is what i did i dont know what you learn by but the special deal is still cheaper.)
380/2=190
216-190=26
Solve d=a+c/ac for a
Answer:
a=d(ac)-c
Step-by-step explanation:
Yes (multiply ac both sides subtract C both sides gets a alone)
Answer:
[tex]d = \frac{a + c}{ac} \\ [/tex]
multiply either sides by ac :
[tex](d \times ac) = ( \frac{a + c}{ac} ) \times ac \\ \\ dac = a + c[/tex]
collect a - terms together, by subtracting a from both sides:
[tex]dac - a = (a + c) - a \\ dac - a = c[/tex]
factorise out a :
[tex]a(dc - 1) = c \\ \\ { \boxed{ \boxed{a = \frac{c}{dc - 1} }}}[/tex]