Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.
Given:
Point O is on line segment NP.
OP=10, NP=2x, and NO=x+7.
To find:
The numerical length of NO.
Solution:
If point O is on line segment NP, then by segment addition property, we get
[tex]NP=NO+OP[/tex]
[tex]2x=(x+7)+10[/tex]
[tex]2x=x+17[/tex]
Subtract both sides by x.
[tex]2x-x=17[/tex]
[tex]x=17[/tex]
The value of x is 17.
Now,
[tex]NO=x+7[/tex]
[tex]NO=17+7[/tex]
[tex]NO=24[/tex]
Therefore, the numerical length of NO is 24units.
Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
!!!!!!!!Pls hurry I need help to solve this !!!!!!!
(3m^2 – 5m + 2)^2
Answer: 9m^4- 30m^3 +37m^2 - 20m + 4
Step-by-step explanation:
(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)
Now apply the distributive property 3 times to solve.
3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2
-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m
2(3m^2 -5m +2) = 6m^2 - 10m + 4
Now add the solutions
(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =
9m^4- 30m^3 +37m^2 - 20m + 4
The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph
Answer:
56mph
Step-by-step explanation:
If d=rt,
then s=d/t,
so if d=67.2 and t=1.2,
then 67.2/1.2=56
What is 78,652 divided by 8 long division
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
A scale factor of 3 was applied to this figure. What would be the new length of the height and width of the triangle?
Answer:
height: 9 units
width: 9 units
Step-by-step explanation:
If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one represented in the table? х,у 5,11 10,22 15,33
Answer
I think first 3
Step-by-step explanation:
A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the function that the table represents is 2.2.
Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Learn more about Slope of Line:
https://brainly.com/question/14511992
#SPJ2
I not sure how to find the value of the letters
Answer:
a = 31°
b = 66°
Step-by-step explanation:
Reason for the answer to a:
It is an alternate angle. So, a = 31°.
Reason for the answer to b:
It is also an alternate angle. So, b = 35° + 31° = 66°.
is negative 31 an integer
Answer:
yes
Step-by-step explanation:
all numbers are integers
Please help me to solve the question!
Answer: (x - 3)² + (y + 0.5)² = 3.25 → [tex](x-3)^2+\bigg(y+\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
Step-by-step explanation:
Concentric means they have the same center but different radii.
The equation of a circle is: (x - h)² + (y - k)² = r² where
(h, k) is the center of the circler is the radius of the circleComplete the square to find the center of the circle
x² - 6x + _____ + y² + y + _____ = 1 + ____ + ____
↓ ↓
-6/2 = -3 1/2 = 1/2
Equation: (x - 3)² + (y + 1/2)² = r²
Since the circle passes through point (x, y) = (4, -2), input that into the equation to find r².
(x - 3)² + (y + 1/2)² = r²
(4 - 3)² + (-2 + 1/2)² = r²
(1)² + (-3/2)² = r²
1 + 9/4 = r²
13/4 = r²
Equation: (x - 3)² + (y + 1/2)² = 13/4 → [tex](x-3)^2+\bigg(y-\dfrac{1}{2}\bigg)^2=\dfrac{13}{4}[/tex]
In decimal form: (x - 3)² + (y + 0.5)² = 3.25
Find the square root of 784 using prime factorization.
Answer:
first check the smallest number that divide 784
i.e 2
784/2 = 392/2= 196/2 =98/2 =49/7=7
we get
748= 2*2*2*2*7*7
for square root take one out of 2 same number
square root of 784= 2*2*7 = 28
Answer:
28
Step-by-step explanation:
784=2×2×2×2×7×7⇒784 =2×2×7=28
Pls help I am so confused
16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!
Answer:
The answer is -2.066 rounded up from the thousandths
Step-by-step explanation:
It is a bit difficult to divide by such an exact value, but I hope this helps!
What is the answer to X(x+7)
Answer:
[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x(x + 7)}[/tex]
Distribute x through the parentheses
[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]
Hope I helped!
Best regards! :D
Which statement describes the inverse of m(x) = x2 – 17x?
Answer:
The correct option is;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]
Which can be simplified as follows;
[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]
And further simplified as follows;
[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.
Answer:
b
Step-by-step explanation:
edge 2021
Solve for x in simplest form. 7=8/5 (3x+5)
Answer:
7=8/5 (3x+5)
or (7*5)= 24x + 40
or 24x = -5
x = -5/24
Step-by-step explanation:
FOLLOW MY TIKT0K booonkbm PLEASE THANKS AND SHARE MY VIDIOS
Archbridge Bus Company have a very small road on the exit of their bus garage. This means they need to be aware of when this road will be used by multiple buses. The 157 bus leaves every 33 minutes. The 183 bus leaves every 6 minutes. All buses start service at 9:00. Apart from when the buses leave at 9:00, at what time will both be leaving the garage at the same time?
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer: Rate of water flow is 12/5 gallon per minute
Step-by-step explanation:
Given the following :
Volume of faucet pot = 2 gallon
Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.
Rate of water flow:
Volume of faucet pot / time taken
= 2 gallon ÷ (5/6) minute
= 2 gallon × (6/5) minutes
= (12 /5) gallon / minute
= 2 2/5 gallon / minute
Hence rate of water flow is 12/5 gallon per minute.
Answer:
2 2/5
Step-by-step explanation:
2 2/5
4. A mistake was made when solving the problem below.
Line 1: 2022+6
Line 2: 204 + 6
Line 3: 80 + 6
Line 4: 86
The mistake was made in Line
Answer:
Wdym
Step-by-step explanation:
wdym
someone.. anyone ? and tell me if the answer is 7: 13 because I'm guessing it is either 7:13 or 7:20
Answer:
The ratio is 7:13
Step-by-step explanation:
Simplify the expression. 40 – 2 • 3²
Find the length of side CB in the following right triangle
Round your answer to the nearest tenth.
Answer:
6cm
Step-by-step explanation:
a2 + b2 = c
(1.4)2 + (2)2 = c
1.96 + 4 = 5.96
=5.96cm (round it)
final answer = 6cm
Answer:
CB = 1.4 cm
Step-by-step explanation:
Given is a right angled triangle.
[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]
CB = 1.4 cm
What is 115.376 rounded to the nearest hundredths
Answer:115.38
Step-by-step explanation:
115.378
=115.38
The hundredth digit is seven
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
!!50 POINTS!!
What are the measures of
Step-by-step explanation:
It A because Acute is smaller then Obtuse that what I look at
Answer:
It A
Step-by-step explanation:
Can I please get brainliest?
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
MATH please answer
please answer
Answer:
you can fit 1000 hairs in 10 cm
Step-by-step explanation:
[tex]10^2= .01[/tex]
[tex].01*1000 = 10[/tex]
scientist measured water pressures of different depths she measured the table showing her findings the X values represents the deepest death matters the Y value represents the pressure in atmospheres
Answer:10,2
Step-by-step explanation:
Answer:
the answer you are looking for is A
Step-by-step explanation: