Answer:
See explanartions below
Step-by-step explanation:
Given the coordinates A(-6,3) B(0,5) C(2,-1)
We first need to get the slope of AB, BC and AC
For AB;
A(-6,3) B(0,5)
Mab = 5-3/0-(-6)
Mab = 2/6
Mab = 1/3
For BC;
B(0,5) C(2,-1)
Mbc = -1-5/2-0
Mbc = -6/2
Mc = -3
For AC:
A(-6,3) C(2,-1)
Mac = -1-3/2-(-6)
MAc = -4/8
Mac = -1/2
Taking the product of Mab and Mbc
Mab * Mbc = 1/3 + -3
Mab * Mbc = -1
Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees
Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What’s the volume of a cord of wood in cubic feet? A. 128 cu. ft b. 3,456 cu. ft c. 4.74 cu. ft D. 64 cu. ft.
Answer:
128 cu. ft
Step-by-step explanation:
4 x 4 x 8 = 16 x 8 = 128
Here is a linear equation in two variables: 2x+4y−31=123. Solve the equation, first for x and then for y.
Answer:
[tex]x = 77 - 2y[/tex]
[tex]y = \frac{77 - x}{2}[/tex]
Step-by-step explanation:
Given
[tex]2x + 4y - 31 = 123[/tex]
Required
Solve for x and for y
[tex]2x + 4y - 31 = 123[/tex]
Add 31 to both sides
[tex]2x + 4y - 31+31 = 123+31[/tex]
[tex]2x + 4y = 154[/tex]
Solving for x
Subtract 4y from both sides
[tex]2x + 4y - 4y = 154 - 4y[/tex]
[tex]2x = 154 - 4y[/tex]
Divide by 2
[tex]x = 77 - 2y[/tex]
Solving for y
[tex]2x + 4y = 154[/tex]
Subtract 2x from both sides
[tex]2x - 2x + 4y = 154 - 2x[/tex]
[tex]4y = 154 - 2x[/tex]
Divide by 4
[tex]y = \frac{154 - 2x}{4}[/tex]
Split
[tex]y = \frac{77 - x}{2}[/tex]
I bought 8 chairs costing x dollars each, and a table for y dollars. How much more did I pay for the chairs than for the table?
Answer:
8x- y
Step-by-step explanation:
Help Me, Now! B. What is the value of each funtion at x = 1?
Answer:
Step-by-step explanation:
In a certain triangle, two of the sides have measures of 8 and 10. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 18
B. 2
C. 20
D. 8
Answer:
C. 20 could be the third side of the isosceles triangle
What are the coordinates of A' if it is reflected over the line x= -3?
Please please help help me please please!!!
The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.
According to the given number line,
The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.
Thus, Point B is at -5 on the number line, whereas Point A is at -8 on the number line. Point E is the number line's reflection of point A.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ2
Plllsss help!!!
What is the value of x?
Answer:
X = 149
Step-by-step explanation:
A full circle is 360 degrees
Add 160+51=211
360-211=149
Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle is half the difference of the intercepted arcs , then
[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
is it a acute, obtuse, or Right
Answer:
Right triangle
Step-by-step explanation:
it has one 90 degree angle
Answer:
Right Triangle
Step-by-step explanation:
solve the inequality -24< x - 3 - 8x
Answer:
x = 3
Step-by-step explanation:
-24 < x - 3 - 8x
-24 < -7x - 3
-24 + 3 = -21
-7x - 3 + 3 = -7x
-21 = -7x
-21 / -7 = 3
-7x / -7 = x
3 = x
An object travels along a horizontal straight path at a constant rate. The object travels 1/20 of the length of
the path in 3/4 second. At that rate, how many seconds does it take the object to .travel the entire length of the
path?
A. 15
B. 15 3/4
C. 20
D. 20 3/4
Mary sells $26,012 worth of sports equipment. Her rate of commission is 4.8%. What is her commission on that sale? Round to the nearest hundredth
Answer:
8,000 ordinary income and $1,000 Section 1231 gain
Step-by-step explanation:
Solve the system of equations
2x+3y= 6
x+y=4
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
Answer:
Step-by-step explanation:
2x+3y= 6 ========================>>> 2x + 3y = 6
x+y=4 ===== times both sides by 2 =====>>> 2x + 2y = 8
==== subtract these two equations ==>> (2x - 2x) + (3y - 2y) = 6 - 8
0x + y = -2
y = -2 so if x + y = 4 plug in -2 where y was
x + (-2) = 4 add 2 to both sides
x = 6
(6,-2)
(-2,6)
(-3, 4)
(0, 2)
T-3.7=1.2? What is the T? Plz help
Answer:
T = 4.9
Step-by-step explanation:
Just add 3.7 and 1.2 to get 4.9
hii please help i’ll give brainliest
What is the value of the exponential expression below?
1
363
A. 3
B. 18
C. 12
O D. 6
Answer:
the answer is D which is 6
Lindas aunt zoe charges her a nominal amount for watching her two children aunt zoe charges $2.50 per day plus $1.75 per hour one day linda paid her aunt $14.75 how many hours did aunt zoe watch the children
Answer:
7 hours
Step-by-step explanation:
the function of the earning of Zoe = 2.50 + 1.75h
2.5 = base fixed amount
1.75 varies based on the hours
h = hours
2.50 + 1.75h = 14.75
to solve for h
subtract 2.5 from both sides and then divide by 1.75
14.75 - 2.5 = 1.75h
12.25 = 1.75h
h = 7
simplify the expression
5 - 8q + -q + -6
The population of rabbits on an island is growing exponentially. In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800. Predict the population of rabbits in the year 2003, to the nearest whole number.
Answer:
3,240
Step-by-step explanation:
The computation of the population of rabbits in the year 2003 is shown below:
Given that
In the year 1995, the population of the rabbits was 1000
And, in 1999 the population of the rabbits grown to 1,800
So there is an increase of
= (1800 - 1000) ÷ 1000
= 80%
So for 2003, the population of the rabbits is
= 1800 + (1800 × 0.80)
= 3,240
Given:
The population of rabbits on an island is growing exponentially.
In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.
To find:
Expected population of rabbits in the year 2003, to the nearest whole number.
Solution:
The exponential growth model is:
[tex]y=ab^t[/tex]
Where, a is the initial value, b is the growth factor, t is the number of years.
Let y be the population of rabbits t years after 1995.
In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).
For (0,1000),
[tex]1000=ab^0[/tex]
[tex]1000=a(1)[/tex]
[tex]1000=a[/tex]
For (4,1800) and a=1000, we get
[tex]1800=1000b^4[/tex]
[tex]\dfrac{1800}{1000}=b^4[/tex]
[tex]1.8=b^4[/tex]
[tex](1.8)^{\frac{1}{4}}=b[/tex]
[tex]b\approx 1.1583[/tex]
The required exponential model is:
[tex]y=1000(1.1583)^t[/tex] ...(i)
in year 2003, the number of years since 1995 is 8.
Putting t=8 in (i), we get
[tex]y=1000(1.1583)^8[/tex]
[tex]y=3240.1748[/tex]
[tex]y\approx 3240[/tex]
Therefore, the population of rabbits in the year 2003 is 3240.
the perimeter of a square is 72cm what is the area of the square
Answer:
the area is 324 cm²
Step-by-step explanation:
Answer:
area = 324 cm²
Step-by-step explanation:
since it's a square, all sides are equal in length.
72/4 = 18
18 x 18 = 324 cm²
Three prime numbers that can be multiplied to get 825
Answer:
Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.
Step-by-step explanation:
Hope this helps!
Answer: 3, 5, and 11
3 * 5 * 5 * 11
Step-by-step explanation:
Make a factor tree for 825
825
/ \
5 165
/ \
5 33
/ \
3 11
Yesenia is painting the front of the figure below in pink paint. The structure is made
of a cube and a triangular prism.
10.3 feet
9.2 feet
12.5 feet
How much paint does Yesenia need to paint the frorlt of the figure?
100 square feet
115 square feet
179 square feet
213 square feet
Answer:
I cant see the link, try reposting...
Step-by-step explanation:
My sisters name is yesenia
What decimal is equal to 1/4?
Answer:
0.25
Step-by-step explanation:
write 1/4 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 1 by 4 what we write down as 1/4 and we get 0.25. And finally we have: 1/4 as a decimal equals 0.25.
Answer:
0.25
Step-by-step explanation:
[tex] \frac{1}{4} \\ = 0.2[/tex]
Leah asks people at a theater how old they are. She finds that 8 out of
75 people are under the age of 12. If there are 2,434 people at the theater, how many people can Leah expect to be under the age of 12 based on the experimental probability?
Answer:
9
Step-by-step explanation:
What is the graph of the equation y + 3 = 2(x + 3)?
Answer:
y + 3 = 2(x + 3)
[point-slope; y – y₁ = m(x – x₁)]
y = 2x + 3 [slope-intercept; y = mx + b]
2x – y = -3 [standard form; ax + by = c]
Ricardo is buying juice boxes for snack packs. Which is the best buy?
What is the domain of the function y=2/x-5
My birthday is tomorrow I'm going out of town:) trying to get these hope I do
Answer:
i hope you do too
Step-by-step explanation:
a fidget spinner? HJBDH
What is the formula for total surface area of
cylinders?
Thanks in advance
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
Step-by-step explanation:
PLS HELP AND EXPLAIN HOW TO DO IT ASWELL ILL MARK YOU BRAINLIEST
Answer:
251.33 = 251
Step-by-step explanation:
V= πr²h = π·2²·20 ≈ 251.32741 = 251.33
Answer:
Step-by-step explanation: