Step-by-step explanation:
The coordinates of Point S(1,2)
The coordinates of point T(7,5)
length of ST=√(7-1)²+(5-2)²
|ST|=√36+9
|ST|=√45=3√5
Answer:
a) S(1,2) T(7,5)
b)3√5 = 6.7 ( approximately)
Step-by-step explanation:
Look at the picture below.
Hope you find this helpful
At 9am you have run 2 miles. At 9:24 you have run 5 miles. What is your running rate in minutes per mile?
Answer:
8minutes per mile
Step-by-step explanation:
You ran 3 miles since 9am divide 24 by 3 to get 8 minutes
What are the roots of the polynomial equation: 4k - 144 = 0 Show all of your work!
Answer:
k = ±6
Step-by-step explanation:
guess your question is 4k²–144 = 0??
4k² = 144
k² = 36
k²–36 = 0
(k+6)(k–6) = 0
k+6 = 0 | k–6 = 0
k = –6, k = 6.
Alternatively; k = ±6.
What is the value of x?
Answer:
35+35=70.....180-70=110....x=110
| n-3 |=2 solve and show work please
Answer:
n = 5 ; n = -1
Step-by-step explanation:
n - 3 = 2
When you transfer (-3) to the other side of the equation, it turns into (+3).
n = 2 + 3
Evaluate.
n = 5
n + 3 = 2
When you transfer (+3) to the other side of the equation, it turns into (-3).
n = 2 - 3
Evaluate.
n = -1
Answer:
x=5
x=1
Step-by-step explanation:
|x-3|=2
x-3=2
x-3=-2
x=5
x=1
Let x = 4. Evaluate the expression. x−3
Answer:
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Put 4 in place of x
x - 3 = 4 - 3 = 1
A cuboid with a volume of 924cm^3 has dimensions 4cm, (x+1)cm and (x+11). Show clearly that x^2+12x-220=0 solve the equation by factorisation, making sure you show the factorisation. Finally, find the dimensions of the cuboid,
Answer:
[tex]x^2+12x-220=0[/tex] -- Proved
[tex]x = 10\ \ \ x = -22[/tex]
Step-by-step explanation:
Given
[tex]Volume = 924cm^3[/tex]
[tex]Dimension: 4cm; (x+1)cm; (x+11)cm[/tex]
Required
Show that [tex]x^2+12x-220=0[/tex]
The volume is calculated as:
[tex]4 * (x + 1) * (x + 11) = 924[/tex]
Open the brackets
[tex](4x + 4) * (x + 11) = 924[/tex]
[tex]4x^2 + 44x + 4x + 44 = 924[/tex]
[tex]4x^2 + 48x+ 44 = 924[/tex]
Collect Like Terms
[tex]4x^2 + 48x+ 44 - 924=0[/tex]
[tex]4x^2 + 48x -880=0[/tex]
Divide through by 4
[tex]\frac{4x^2}{4} + \frac{48x}{4} -\frac{880}{4}=0[/tex]
[tex]x^2+12x-220=0[/tex]
Solving further:
Expand the expression
[tex]x^2 + 22x - 10x - 220 = 0[/tex]
Factorize:
[tex]x(x + 22) - 10(x + 22) = 0[/tex]
[tex](x - 10)(x + 22) = 0[/tex]
Split:
[tex]x - 10 = 0;\ \ \ x + 22 = 0[/tex]
[tex]x = 10\ \ \ x = -22[/tex]
A number reduced by 15 results is 14.
Which equation models this sentence?
0 m - 14 = 15
0 15 - m = 14
0 14 - m = 15
Om – 15 = 14
Answer:
number 2 [0 15 -m = 14] that should be itthe relationship between time and distance remaining on a 3 mile walk for someone walking at steady rate of 2 miles per hour
2. Tablespoons and liters are some units used to measure volume. What are some
other units used to measure volume?
Answer:
gallons, teaspoon, quart, etc!
Step-by-step explanation:
A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?
pls help I'm being timed
Answer:
It would cost $ 408.04 to travel 2727 miles
Divide total miles by miles per gallon:
2,727 / 27 = 101 gallons.
Multiply total gallons by price per gallon:
101 x 4.04 = $408.04 Round as needed.
What is the exponential function
that best models the number of
gnats the scientists have gathered
after the number of hours listed?
a)use demos to determine the exponential equation that best fits the data in the table. What is the equation?
b)
How many hours will it take
for 200 gnats to gather?
Hours~ 0,1,2,3,4
Number of gnats~ 12,20,35,60,80
Answer:
Number Sense 3. ... Activity #2 - Solving Exponential Equations (self-checking) 5. ... #2: Used four of the star station C's problems in the Exponential Math Workshop. ... Please feel free to email me with any questions or join our office hour ... There are a variety of activities, most of which allow you to check your answers. 3.
Step-by-step explanation:
A cube has sides of length 5 cm.
Find the total surface area of the cube.
Please explain as well, as I struggle with surface area.
Answer:
150 cm^2
Step-by-step explanation:
Keep in mind that the dimensions of the cube are identical in 6 directions. This means that the surface area of the bottom is 5 cm by 5 cm, yielding the area 25 cm^2. The top has the same area, so considering top and bottom we get a total surface area of 50 cm^2.
Likewise, the total surface area of the sides together is 50 cm^2. The total surface area of the front and back together is 50 cm^2.
Thus, the total surface area of the entirre cube is 3(50 cm^2), or 150 cm^2
Find x and y. Please help!!
Step-by-step explanation:
3y+48=90
3y=90-48
3y=42
y=14 degree
12+2x+3x+90=180
5x+102=180
5x=180-102
5x=78
x=15.6 degree
Can some one explain what an arithmetic sequence is...?
Answer:
An arithmetic sequence is an infinately long set of numbers that increase by a certain amount(this amount is called the common difference) every number. for example, 1,2,3,4,5... is an arithmetic sequence with a common difference of one.
Find the perimeter and the area of a rectangle with the sides of 3 3/10 meters and 6 2/3 meters. what is the area of the rectangle in meters
Answer:
area=22 peremeter=19 14/15
Step-by-step explanation:
Answer:
22 and 19 14/15
Step-by-step explanation:
How to use graph of equation
Answer:
Locate the y-intercept on the graph and plot the point.
From this point, use the slope to find a second point and plot it.
Draw the line that connects the two points.
Step-by-step explanation:
Find the y intercept on the graph
Then from the points where the y intercept passes find the second point and graph it
Then draw the line where they connect
Solve this question.
Answer:
Q||R
(11x-28) +(7x-8) = 180 ( co. interior.angle)11x -28+7x-8 =18011x-7x-28-8=1804x-36=1804x=180+364x = 216x = 216/4 x = 54Answer:
Q||R
(11x-28) +(7x-8) = 180
x = 54
Step-by-step explanation:
Identify the domain of the graph.
Answer:
Domain is 0 to 50.
Step-by-step explanation:
[tex]0 \leq x \leq 50[/tex]
What is the y-intercept of y = 1/7x - 10?
Answer:
-10
Step-by-step explanation:
the equation is in y=mx + b form so the b is the y-intercept so therefore it is -10
Mrs smith has 3/5 pounds of beans he used 1/4 pounds of beans each week at this rate how many full weeks will his beans last
Answer:
2 weeks
Step-by-step explanation:
3/5 = .6 and 1/4 = .25. 0.25 can only be subtracted from .6 two times.
given STU and DEF , what is m < U ?
can i get help i posted this twice now.
Answer:
u=47
Step-by-step explanation:
...................
The measure of angle U is 74 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
to determine the measure of angle U:
From the question, we have the following parameters that can be used in our computation:
△PQR ≅ △STU
If m ∠P = 62 degrees and m ∠Q = 45 degrees
The above parameters mean that
P = S Q = T and R = U
So, we have
U = R = 180 - P - Q -- by the angles in a triangle theorem
So, we have
U = 180 - 61 - 45
= 74
Evaluate
U = 74
Hence, the value of m ∠U is 74 degrees
Read more about angles at
brainly.com/question/7620723
#SPJ5
A teachers monthly gross pay is $5,321. The federal government withholds 15% of the teachers monthly gross pay from income taxes. How much does the teacher pay in income tax every month??
Answer:
$798.15Step-by-step explanation:
Given
Monthly gross pay is $5,321Income tax = 15%Amount of tax paid every month:
$5321*0.15 = $798.15Point A has coordinates (6,4) and point B has coordinates (2,7) write AB as column vector. Plz plz plz
Answer:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
Step-by-step explanation:
Column Vector
Vectors are matrices having only one column or one row. A vector having only one column is called a column vector, and a vector having only one row is called a row vector.
It's required to find the vector AB as a column vector, and we are given the coordinates of A=(6,4) and B=(2,7).
The vector directed from A to B is found by subtracting its corresponding coordinates:
[tex]\overrightarrow{AB }=<2-6,7-4>[/tex]
[tex]\overrightarrow{AB }=<-4,3>[/tex]
Now we express the vector as a one-column matrix as follows:
[tex]\overrightarrow{AB }=\begin{bmatrix}-4\\3 \end{bmatrix}[/tex]
f(x)= −x^2+10x−6
Find f(−5)
Answer:
f(-5) = -81
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = -x² + 10x - 6
f(-5) is x = -5
Step 2: Evaluate
Substitute: f(-5) = -(-5)² + 10(-5) - 6Exponents: f(-5) = -(25) + 10(-5) - 6Multiply: f(-5) = -25 - 50 - 6Subtract: f(-5) = -75 - 6Subtract: f(-5) = -815w-5w= combine like terms to simplify
Answer:
0
Step-by-step explanation:
It may say combine, but it`s subtraction soooo it`s 0.
15 POINTS FOR THE BRIANLEIST! PLEASE SOLVE!!
Answer:
my question is also this thanks
Answer:
y = -y
Step-by-step explanation
So since we know that the answer of this question turns out to be a positive, and 5 is a negative number, that means y is negative. Heres my reason why:
( write this down on your essay)
Since a negative number and another negative number added becomes a positive, y would be a negative number.
Therefore, It is true that y is a negative number
If the population changes by 2.5% per year, what percentage does it change in 5 years
Answer:
12.5%
Step-by-step explanation:
Try finding how many meters they travel in ONE second) Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds.
Answer:
Mai travels 2.5 meters in 1 second
Priya travels 2.2 meters in 1 second
Step-by-step explanation:
Try finding how many meters they travel in ONE second) Mai and Priya were on scooters.
For Mai
Mai traveled 15 meters in 6 seconds.
Hence,
6 seconds = 15 meters
1 second = x meters
Cross Multiply
6x = 15 meters
x = 15/6
x = 2.5 meters
Hence, Mai travels 2.5 meters in 1 second
For Priya
Priya travels 22 meters in 10 seconds.
Hence,
10 seconds = 22 meters
1 second = x meters
Cross Multiply
10x = 22 meters
x = 22/10
x = 2.2 meters
Hence, Priya travels 2.2 meters in 1 second
y=-6x+2
How many solutions does this linear system have?
O one solution: (0, 0)
Oone solution: (1, 4)
O no solution
Oinfinite number of Solutions
-12x– 2y =4
Answer:
The system has of the equation has no solution
Thus,
NO SOLUTION!
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}y=-6x+2\\ -12x-2y=4\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}y+6x=2\\ -2y-12x=4\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}y+6x=2\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+12x=4[/tex]
so
[tex]\begin{bmatrix}2y+12x=4\\ -2y-12x=4\end{bmatrix}[/tex]
adding both equations
[tex]-2y-12x=4[/tex]
[tex]+[/tex]
[tex]\underline{2y+12x=4}[/tex]
[tex]0=8[/tex]
so
[tex]\begin{bmatrix}2y+12x=4\\ 0=8\end{bmatrix}[/tex]
0 = 8 is false, therefore the system has of the equation has no solution
Thus,
NO SOLUTION!
Please also check the attached figure.
The ratio of an object's weight on Earth to its weight on Venus is 8:7. How much would a 160 pound man on Earth weigh on Venus?
Answer:
Weight On Venus: 144.67 lbs
Step-by-step explanation:
Weight on Venus= (Weight on Earth/9.81m/s2) * 8.87m/s2