If R is the midpoint of QS, QR = 8x – 51 and RS = 3x – 6, find QS.
Answer:
42 units
Step-by-step explanation:
If R is the midpoint of QS, then by definition, QR = RS. Since QR = 8x - 51 and RS = 3x - 6, set these equal to solve for x:
QR = RS
8x - 51 = 3x - 6
5x = 45
x = 9
Now that we know x = 9, we can plug this back into one of the expressions for QR or RS to find its length:
QR = 8x - 51 = 8 * 9 - 51 = 72 - 51 = 21
Since half of QS is 21, then the whole of QS is twice that:
2 * 21 = 42
The answer is thus 42 units.
~ an aesthetics lover
what is the definition of a image (geometry)
Answer:
the new position of a point, a line, a line segment, or a figure after a transformation
Step-by-step explanation:
whats the distance between (-4, 6) and (3, -7)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{218} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( -4 , 6 ) be ( x₁ , y₁ ) and B ( 3 , -7 ) be ( x₂ , y₂ )
Finding the distance between these two points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 - ( - 4))}^{2} + { (- 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {(3 + 4)}^{2} + {( - 7 - 6)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {7}^{2} + {13}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 169} }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{218}}} [/tex] units
Hope I helped!
Best regards! :D
a 12 foot flagpole is 18 feet away from the school a student stands 6 feet away from the building . what is the height of the student?
.........................
Answer:
where is the question....
(3.8 × 10−6)(2.37 × 10−3)
Answer: I think it's 662.4
Please correct me if I'm wrong.
HAS TO BE DONE BY TOMORROW - A positive integer is called snakelike if its digits alternately increase and decrease or vice versa. For example, 130 and 91727 are snakelike. However 123 is not snakelike (2 is greater than 1 but not 3) and 91727 is not snakelike (7 is greater than 1 but not 7)
A) How many 4-digit snakelike numbers contain each of the digit 1,2,3,4 exactly once
B) How many 3-Digit snakelike numbers have 6 as their middle digit
C) a 7-digit snakelike number starts with digit 9. Explain why it last digit cannot be 0
Answer:
A) 10
B) 39
C) the last digit must be greater than the previous digit. 0 is not greater than any other digit, so the last digit cannot be 0.
Step-by-step explanation:
A) Numbers of the form low, high, ... can start with digits 1 or 2, and the 3rd digit will be the other one. There 4 such numbers 1423, 1324, 2413, 2314. In addition, For a first digit of 2, the second digit may be 1, allowing 2143. Thus, there are 5 numbers starting with 1 or 2 and ending with 3 or 4.
There are 5 additional numbers that are the reverse of these.
There are 10 4-digit snake-like numbers containing 1–4 exactly once.
__
B) We assume a "3-digit number" will be in the range 100–999. That is, the leading digit will not be zero. If you allow a leading 0, the answer is different.
With 6 as a middle digit, the numbers 1–5 can be the first digit and the numbers 0–5 can be the last digit. Hence there are 5·6 = 30 numbers of the form low-6-low.
If the form is high-6-high, there are 3 possible first digits and 3 possible last digits, so 3·3 = 9 numbers of the form high-6-high.
There are 39 3-digit snake-like numbers with 6 as the middle digit.
__
C) A 7-digit snake-like number will alternate high-low, with high being the last digit. Hence the last digit must be higher than the previous digit, so cannot be 0.
4-Fui al supermercado y había un descuento del 15% en el total de la compra, si pagaba en efectivo. Gasté $ 2.400. ¿Qué cantidad aboné en realidad?
Answer:
$2.040
Step-by-step explanation:
Para calcular la cantidad que fue abonada en realidad, debes encontrar el valor del descuento calculando el 15% del valor total de la compra y este resultado se debe restar del total:
$2.400*15%= $360
$2.400-$360= $2.040
De acuerdo a esto, la cantidad abonada en realidad es: $2.040.
The table below shows the price, in dollars, for the number of Rose's indicated.
Answer:
1. The relationship is proportional.
2. The cost for 30 roses is 90 dollars.
Step-by-step explanation:
1. The price (y) divided by the number of roses (x) equals 3, no matter what section in the table you try it on; y/x = 3. This means that the relationship is proportional.
Another way to explain this is x * 3 = y. For example, 3 roses * $3 = $9
2. We know that one rose costs $3. So you can multiply:
30 roses * $3 = $90
somebody please HELP I NEED TO PASS THIS
please help with algebra2. Solving for A
Answer:
Step-by-step explanation:
2(1/2 A + N = d)
A + 2N = 2d
A = 2d - 2N
Answer:
A = 2(d - N)
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] A + N = d ( subtract N from both sides )
[tex]\frac{1}{2}[/tex] A = d - N ( multiply both sides by 2 to clear the fraction )
A = 2(d - N)
(10 + 3) - (20 ÷ 10) 2 )
I believe the answer is 9.
how to write 0.75 repeating (75) as a fraction in simplest form?
Answer:
75/99
Step-by-step explanation:
Do you mean
0.757575... = 0.75 = ?
If so, consider this:
x = 0.757575...
100x = 75.757575...
100x - x = 75
99x = 75
x = 75/99
6. Solve for "X" in the following equation. X - 12 = 36
A x = 58
B x = 14
CX = 48
D X = 24
Answer:
Option C
Step-by-step explanation:
[tex]x-12=36\\\\x-12+12=36+12\\\\\boxed{x=48}[/tex]
Hope this helps.
Solve equations
12 + b = 42
M - 12 = - 16
-224= 4 x
-3= b over 12
V over 4 = 12
2( n+ 3)=- 12
-3+ x over 5 =-8
-2= x+2 over 6
2(n+6)=-8
-3 x-20= -155
Answer:
I wasn't sure on the last two but I got the rest.
A fairly recent alternative to algebraic modeling is spreadsheet modeling, which, instead of relating various quantities with algebraic equations and inequalities, relates them in a spreadsheet with cell formulas.a) trueb) false
Answer:
True
Step-by-step explanation:
With the advent and proliferation of the use of computers, data can now be analyzed with the aid of spreadsheets. These spreadsheets such as the one found in Microsoft Excel are arranged in grids whereby, the rows are numbered and the columns are identified with alphabets. The data entered in the spreadsheet are guided by formulas which can be found on the formula tool bar.
The formula gives an insight into the calculation performed for the list of items provided in the grid. There are several mathematical functions that aid in the calculations, such as the SUM and DIV functions.
help me please!!!!!
What is the value for X??? WILL GIVE BRAINLIEST!!!
Answer:
x = 1.5
Step-by-step explanation:
First, we distribute (get rid of parentheses):
6x - 3 - 3x = 5 - x - 2
Then, we simplify:
3x - 3 = 3 - x
Then, we combine like terms:
3x + x = 3 + 3
Then, we simplify again:
4x + 6
Finally, we divide 4 on both sides:
We got x = 1.5
Hope this helps!
Answer:
X = 1.5
duhhhhhhhhhhhhh
Maria is trying to meet her friends at the pool but construction is blocking her path from the parking lot directly to the pool. Because of this, she has to walk 20 ft north, 35 ft east, and then 20 ft south to get to the pool. Find her distance and displacement
Answer:
The distance Maria walked is 75 ft.
Total displacement from her starting point is 35 ft east.
Step-by-step explanation:
Consider the sketch below.
The distance travelled can be obtained by adding all the distances walked in different directions.
This is 20ft +35 ft +20ft = 75ft
The distance Maria walked is 75 ft.
The displacement of an object refers to the distance travelled in a specified direction.
We noticed that maria moved 20ft north, then 35 ft east, only to come back 20 ft south again.
This means her total displacement from her starting point is 35 ft east. this is because her north and south movements cancelled out each other.
What is the standard form of (-1, 1) and (1, 4) ?
Answer:
The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number). On a calculator, you usually enter a number in standard form as follows: Type in the first number (the one between 1 and 10).
Step-by-step explanation:
The slant height is 8 inches and the diameter is 8 inches, what
is the total surface area of the right cone?
Answer:
150.85inches
Step-by-step explanation:
TSA of cone= πr(r+l)
= 22/7×4(4+8)
= 150.85inches
4n - 9 = 2(5 + 2n).
Answer:
no solution
Step-by-step explanation:
start by
distributing the 2 on the right side of the equation
you should get 4n-9=10+4n
then you should try to combine like terms, start by subtracting the 4n on the left side from the one on the right
both of those should cancel out
leaving you with -9=10, which is obviously false, meaning there is no solution
I think it’s no solution.
I DON'T NEED HELP ANY MORE THX FOR ALL THE NON EXISTENT ANSWERS REALLY APPRECIATE IT
yeah no problem wish I cudve helped u
look at the picture that is attached
help me plz
Answer:
x² = 30 - (y-5)²
x² = 30 - [y² - 10x + 25]
x² = 30 - y² + 10x - 25
x² = -y² + 10x + 5
B
Question 10
Is it possible to construct any type of triangle with the given lengths?
9, 12, 19
no
yes
Answer:
yes
Step-by-step explanation:
When forming a triangle, the sum of 2 of the sides must be greater than the third. In this case 12+9=21 which is greater than the third side (21>19)
What is the value of y?
V
y =
Find the following angle measures.
mZJKM =
o
o
mZMKL =
V
Answer:
y=10
m<JKM=106
m<MKL=74
Step-by-step explanation:
A point represents a location but has no area.
Answer:
true
Step-by-step explanation:
what is the answer for -6 - d= -2d
Answer:
d = 6
Step-by-step explanation:
[tex]-6-d=-2d\\\\-6+6-d=-2d+6\\\\-d=-2d+6\\\\-d+2d=-2d+2d+6\\\\\boxed{d=6}[/tex]
Hope this helps.
One week, Morgan earned $283.90 at her job when she worked for 17 hours. If she is
paid the same hourly wage, how much would she make the next week if she worked
20 hours?
1. AB = 11 and BC = 5. Find AC 2. AC = 16, BC = x + 4, AB = x + 14. Find x