Answer:
One solution.
Step-by-step explanation:
This question has different coefficients so it has one solution.
HELP PLEASE
find the area of the polygon with the given vertices P(1,1), Q(-2,1), R(-1,-4)
Answer:
Area = 7.5
Step-by-step explanation:
The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
There are many types of triangles such that right-angle triangles, equilateral triangles, and much more.
Given the triangle with vertices P(1,1), Q(-2,1), R(-1,-4)
Length between two coordinates (x₁,y₁) and (x₂,y₂) is given by
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
By using this formula
PQ = 3 , QR = 5.099 and PR = 5.385
Now,
The area of a triangle with all three sides is given by
A = [tex]\sqrt{S(S - A)(S - B)(S - C)}[/tex] where A,B and c are sides and s = (A + B + C)/2
So,
S = (3 + 5.099 + 5.385)/2 = 6.742
Now,
A = [tex]\sqrt{6.742(6.742- 3)(6.742 - 5.099)(6.742 - 5.385)}[/tex]
A = 7.499 ≈ 7.5
Hence "The area of the triangle bounded by vertices P(1,1), Q(-2,1), and R(-1,-4) will be 7.5 unit square".
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An invested sum of $600000 to generate simple interest $3.9000 at 3 (whole number) 1/4% per annum if you don't know please don't answer
Answer:
20 years
Step-by-step explanation:
We can find the time it took to invest
Using the formula for calculating simple interest as shown
SI = PRT/100
Given
Principal P = $600,000
SI = $39,000
Rate R = 3 1/4%
Required
Time
Substitute
39,000 = 600,000*13/400 * T
39,000 * 400 = 600,000*13 * T
15,600,000 = 7,800,000T
T = 15,600,000/7,800,000
T = 20
Hence it took 20years for the sum invested to generate the interest
I need to know where to place the dot
Answer:
in your but
Step-by-step explanation:
nah jk its 3,-3
footpath is to be constructed in a park in the shape of a parallelogram. When a coordinate plane is laid over a map of the park, the vertices of the footpath are (−4, 2), (8, 2), (11, 7), and (−1, 7).
Answer:
35.7Step-by-step explanation:
Step one
Given the coordinates
ABCD with vertices A(−4, 2), B(8,2), C(11, 7), and D(-1, 7).
AB=(−4, 2), (8,2)
BC=(8,2), (11, 7)
CD=(11, 7),(-1, 7)
DA=(-1, 7),(-4,2)
The distance between points AB=
[tex]AB= \sqrt (x_2-x_1)^2+(y_2-y_1)^2[/tex]
[tex]AB= \sqrt (8+4)^2+(2-2)^2\\\\AB= \sqrt 12^2+(0)^2\\\\AB= \sqrt144\\\\AB=12[/tex]
The distance between points BC=
[tex]BC= \sqrt (11-8)^2+(7-2)^2\\\\BC= \sqrt 3^2+(5)^2\\\\BC= \sqrt34\\\\BC=5.8[/tex]
The distance between points CD
[tex]CD= \sqrt (-1-11)^2+(7-7)^2\\\\CD= \sqrt -12^2+(0)^2\\\\CD= \sqrt144\\\\CD=12[/tex]
The distance between points DA
[tex]DA= \sqrt (-4+1)^2+(2-7)^2\\\\DA= \sqrt -3^2+(-5)^2\\\\DA= \sqrt34\\\\DA=5.8[/tex]
Hence the perimeter of the footpath= 12+5.8+12+5.8
=35.7
Which of the following describes a rate?
1. A volleyball team won 8 out of 12 games.
2. Anisa gets paid $12 per hour
3. Bradley's class has 8 boys and 14 girls.
4. A restaurant has 5 waiters for every 10 tables.
Answer:
2. Anisa gets paid $12 per hour describes a rate.
Step-by-step explanation:
A rate is something that says (something) per (something.) For example, the cheetah ran 240 miles per minute is considered a rate.
Rates usually end with one, since they say that (something) every 1 (minute, hour, etc.) whether it's a place or thing.
Hope this helps! :)
4 • 7 – 6 2 ÷ 3 also show your work
Answer:
7 1/3
Step-by-step explanation:
Lets do this in steps ok? K!
Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!
Step 1-- 4 x 7=28
Step 2-- 62 divided by 3 = 20 2/3
Step 3-- 28- 20 2/3
Step 4-- 27 3/3 - 20 2/3= 7 1/3
Hope this helps ∞<3
Answer:
[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]
[tex]4\cdot7[/tex] = [tex]28[/tex]
[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]
[tex]28-62[/tex] = [tex]-34[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]
[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?
Answer:
15000
Step-by-step explanation:
YZ ∥ VX . Find WX. 34 16 8 Y Z W X V WX =
Answer:
this really doesnt make sense sorrry
Step-by-step explanation:
Please answer quickly, thanks. :)
Answer:
11 cars/day
Step-by-step explanation:
What we know:
After two days, Car-Mart has 43 cars left. After 3 days, it is 32. After five, 10 cars.
Saying that, subtract 32 from 43 to get your rate of 11 cars sold a day.
I can further deduce they started with 76 cars. On day 1 they had 65 cars. On day 4 they had 21 cars. They will have sold all of their cars after day 6.
Suppose it takes John 45 minutes to run 4 miles. How long would it take him to run 4 kilometers? Round your answer to the nearest minute
Answer:
28 minutes
Step-by-step explanation:
4 miles = 45 minutes
4 kilometers = (m) minutes
45 ÷ 4= 11.25
4 kilos= 2.48548 miles
2.48548 x 11.25= 27.96165
m = 28 minutes
- I hope this helps have a great day
John will covers 4 km distance in 28 minutes.
What is Rate of change?
A rate is anything that can be measured over time. Common rates include velocity (which is the rate of distance traveled), power (rate of work being done), etc. All these have one thing in common which is that they are all divided by the amount of time it took to obtain a certain measurement.
Here, it is given that John takes 45 minutes to run 4 miles and is known that :
1 mile ≈ 1.61 km
that is for,
4 mile ≈ 6.44 km
John covers 6.44 km in 45 minutes, John will cover 4 km in :
6.44 km ⇒ 45 minutes
1 km ⇒ 45/6.44 minutes
4 km ⇒ 4 x (45/6.44) minutes ≈ 28 minutes
Therefore, John will covers 4 km distance in 28 minutes.
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Sam calls a friend to get help with his math homework. Which instructions would best help Sam solve the inequality shown below? 15 3/4 < -2 + x
F. Add 15 3/4 to both sides of the inequality.
G. Subtract 2 from both sides of the inequality.
H. Add 2 to both sides of the inequality.
J. Subtract 15 3/4 from both sides of the inequality.
in each one section there are 27 student and there are 17 section how many students are in total
Answer:
459 students.
Explanation:
Since you are given the number of how many students are in each section, simply multiply to find the total answer.
27 x 17 = 459
There are 459 students.
Answer:
459 students
Step-by-step explanation:
Since there are 27 students, and 17 sections, multiply the two numbers:
27 × 17 = 459
please help me, this isn't a test or quiz I just need some help.
the right is answer is B) alternate exterior
PLS HELP ILL MARK AS BRAINLESS
Answer: Area is 2250 and the peremiter is 210
Step-by-step explanation:
Answer:
Area :2250
Perimeter: 210
Step-by-step explanation:
For area just multiply the two side lengths and for perimeter just add them all together-75,75,30,30.
Will give crown will post more
Answer:
2, 7, 27, 42
Step-by-step explanation:
y = 5*1 -3 =2
y = 5*2 -3 =7
y = 5*6 -3 = 27
y = 5*9 -3 = 42
Answer:
See below
Step-by-step explanation:
[tex]y = 5x - 3 \\ \\ \begin{vmatrix}x &\: \: \: y \\ \\ 1&\: \: \: \boxed{\red {\bold 2} } \\ \\ 2&\: \: \: \boxed{\purple {\bold 7} }\\ \\ 6&\: \: \: \boxed{ \orange {\bold {27} } } \\ \\ 9&\: \: \: \boxed{\pink{\bold {42} } } \end{vmatrix}[/tex]
Am not sure what this answer is
Answer:
100 pieces
Step-by-step explanation:
11/220 = 5/x
1100=11x
x=100
A store has a video game rewards program. The fee to join the program is $10 plus $3 per week. Which equation can be used to find y, the total cost that Mark will spend to join the rewards program after x weeks?
a
y = 10x + 3
b
y = 3x + 10
c
y = 3x +12
d
y = 12x + 10
What is the m=
And what is the equation
Please help me asap its almost due
Answer:
m = 1[tex]\frac{1}{7}[/tex], y = 1[tex]\frac{1}{7}[/tex]x + 10
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope and c is the y-intercept. I will be calculating the slope using the points (7, 2) and (0, 10)
m = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{2-10}{7-0}[/tex]
= [tex]\frac{8}{7}[/tex]
= 1[tex]\frac{1}{7}[/tex]
Based on the graph, the y-intercept is 10. Thus, the equation of the line is 1[tex]\frac{1}{7}[/tex]x + 10.
PLEASE HELP ILL GIVE BRAINLIEST I JUST NEED THE ANSWER
Answer:
WHATT IS THIS MATH IT LOOKS SO HARD:0
PLEASE I WILL GIVE BRAINLIEST
Write the SLOPE INTERCEPT form of a line that passes through point A at (4,-3) and point B at (2,1)
Answer:
y = -2x + 5
Step-by-step explanation:
A(4, -3) ; B(2, 1)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]= \frac{1-[-3]}{2-4}\\\\= \frac{1+3}{2-4}\\\\= \frac{4}{-2}\\\\= -2[/tex]
m = -2 ; A(4,-3)
[tex]y - y_{1}=m(x-x_{1})\\\\y -[-3] = (-2)(x - 4)\\\\y + 3 = -2*x -4 *(-2)\\\\y + 3 = -2x + 8\\\\ y = -2x + 8 - 3 \\\\ y = -2x + 5[/tex]
BRAINLIEST! Write an equation that is true when x is equal to -5, 4, or 0 and for no other values of x , and where one side of the equation is a 4th degree polynomial. (Look at graph for more info)
Answer:
y = x^3 + x^2 − 20x
Step-by-step explanation:
Find the factors from the roots, then multiply the factors together.
f(x) = x³ + x² − 20x that is equation when x is equal to -5, 4, or 0 and for no other values of x.
What is polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Given that
f(x) = (x + 5)(x - 4)(x)
Multiply the factors together.
f(x) = (x + 5)(x² - 4x)
we have to open the brackets above
f(x) = x³ - 4x² + 5x² - 20x
Rearrange the likewise terms and apply the arithmetic operations,
f(x) = x³ + x² − 20x
This equation is true when x is equal to -5, 4, or 0 and for no other values of x.
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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.
?:(
Answer:
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
Step-by-step explanation:
According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:
[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)
Where:
[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
In addition, the slope of the line is defined by:
[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:
[tex]x_{B} = 1.25\cdot (14)[/tex]
[tex]x_{B} = 17.5[/tex]
[tex]y_{B} = 0.75\cdot (21)[/tex]
[tex]y_{B} = 15.75[/tex]
From (2):
[tex]m = \frac{15.75-21}{17.5-14}[/tex]
[tex]m = -\frac{3}{2}[/tex]
By (1):
[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]
The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].
simplify the expression -3/8(-4y+z)
Answer:
3/2y-3/8z
Step-by-step explanation:
-3/8(-4y)-3/8z
This is the John Hancock Building. What shape do you think surrounds the diagonal braces? List several ways to test your conjecture.
Answer:
ha you said C O C K
Step-by-step explanation:
Write the equation of the table shown below.
Х
0
2
5
9
12
у
4
6
9
13
16
Answer:
sorry... but the image is all black
I cant see anything
Marco scored 20 points at the basketball game . If this is 40% of the total score, what was the total score for the basketball game ?
The total score for the basketball game was 50 points.
What is percentage?Percentage is a part of the whole number. It is denoted by % sign.
1 %= 1/100.
Given that,
Points scored by Marco in basketball game = 20
Also, points scored by Marco is 40% of the total score,
Implies that,
40% = 20
1 % = 20 / 40
To determine total score, find value of 100%,
100 % = (20 / 40) x 100
= 50
The total score for the basketball game was 50.
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A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight in water and ate half its weight in food. Which equation can be used to find t, the combined weight of the water and the food, in ounces, that the hummingbird had on this day?
need this asap
Answer:
t = 8 1/2wStep-by-step explanation:
The hummingbird drank 8 times its weight in water:
8wThe hummingbird ate half its weight in food
1/2wRequired equation:
t = 8w + 1/2w ⇒ t = 8 1/2wAnswer:
t= 8w + 1/2w
Step-by-step explanation:
What is the slope of the line graphed on the coordinate plane?
Answer:
3/4 slope
Step-by-step explanation:
Mark me brainleist please ;c
don’t make me cry ;c
Step-by-step explanation:
When the line moves up 3 blocks, it also moves across 4 blocks.
Therefore the slope of the line is 3/4.
Garret paid 20$ for five movie tickets find the cost per ticket
Megan paid 22$ for 7 books determine the cost per book
Answer:
Step-by-step explanation:
Cost of a ticket = Total cost ÷ number of tickets
= 20 ÷ 5
= $ 4
2) Cost of 7 books = $ 22
Cost of a book = 22 ÷ 7
= $ 3.11
Answer:
4 dollars each for 1st question and 3.1 dollars for second question