Answer:
18 units
Step-by-step explanation:
Using the midpoint theorem, the perimeter of the triangle formed by joining the midpoints of the original triangle is exactly half the size in perimeter
What we mean in this case is that the perimeter of BAC IS two times the perimeter of EDF
perimeter of EDF is the sum of all the sides = 2 + 4 + 3 = 9
So the perimeter of BAC is 2 * 9 = 18
What is the equation of a line that passes through the points (–3, 4) and (2, 8)?
Answer:
=5
Step-by-step explanation:
4-9= -5
2-3 = -1
=5
.....
Answer:
y = \frac{4}{5}x + \frac{32}{5}
Step-by-step explanation:
(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]
m = 4/5 ;
Equation of the line: y - y₁ = m(x - x₁)
[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]
A bag of flour contains 24 cups. Each sponge cake that Gilda makes uses 3 cups of
flour. How many cakes can she make with one bag of flour?
8
3
24
1
Answer:
8
Step-by-step explanation:
This is the answer because:
1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:
24 ÷ 3 = 8
Therefore, the answer is 8.
Hope this helps! :D
Find the value of : 0.678 multiplied by 9.01/0.0234
Answer:
261.06 (Approx)
Step-by-step explanation:
Given:
Two number = 0.678,9.01/0.0234
Find:
Multiply
Computation:
⇒ 0.678,9.01/0.0234
⇒ 0.678 x [9.01/0.0234]
⇒ 6.10878 / 0.0234
⇒ 261.058874
261.06 (Approx)
Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14
9514 1404 393
Answer:
see below
Step-by-step explanation:
I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.
The sale price is 100% - 35% = 65% = 0.65 times the regular price.
__
Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.
regular, sale
3.09, 2.01
3.29, 2.14
3.77, 2.45
4.19, 2.72
If f(x) = 2x − 1 and g(x) = f(x + 1), how does the graph of g compare with the graph of f?
Do the bois got me? Please bois
Answer:
the 2
second one
Step-by-step explanation:
Answer:
DFA BFC
Step-by-step explanation:
Help Me! ASAP! Determine whether each equation has no solution, one solution or infinitely many solutions. Choose No Solution, One solution, or Infinitley Many Solutions for each equation.
Answer:
Step-by-step explanation:
(1). One solution
(2). Infinitely Many Solutions
(3). One solution
(4). No Solution
Answer:
1. 1 solution, 2. Infinite solutions, 3. 1 solution, 4. No solution
Step-by-step explanation:
What is the equation in slope-intercept form of a line that passes through the point (4, 5) and has a slope of 1/2?
Answer:
1/2x + 5
Step-by-step explanation:
The y intercept is 5 & the slope is already given!
Which is the input value produces the same output value for the two functions on the graph ?
Answer:
X = - 2
Hope it's help you.... ^_^
Which of these is not an equation?
A
3b = 5
B
43(4x + 7y)
C
78 = 3p - 37
D
a - 17 = 1,825,026
Option B is not an equation since it doesn't have the "=" sign. [It's an expression]
Hope it helps!
Third time posting. Explain it too
Answer:
D. x-5 / x+4
Step-by-step explanation:
(-3x³ +9x² +30x) / (-3x³ -18x² - 24x)
=-3x (x²-3x-10) / -3x(x²+6x+8)
=-3x(x+2)(x-5) / -3x(x+2)(x+4)
=x-5 / x+4
Answer:
oooooooof
Step-by-step explanation:
N = {X:X
is an odd number, 21<x<3
XEN]
Write the equation of a line
that passes through: (0, 2) and (-1, 1)
Answer:
y = x + 2
Step-by-step explanation:
slope = Δy / Δx = (1-2) / (-1 - 0) = 1
pass (0,2): y intercept = 2 b=2
y = mx + b
equation: y = x + 2
• A trapezoid is one or two ____
and a _____
combined!
Use the formula ______
where:
. b1 is the ____
. b2 is the ____
and
• h is the ___
of the trapezoid.
P L E A S E H E L L P P P P P P P P !! WILL MARK BRAINLIEST
Answer:
D or the last one
Step-by-step explanation:
Answer: its the last one
Step-by-step explanation:
its the last one
i hope i helped
if i did pls mark BRAINLIEST!!
k
What Is the solution to the system of equations? Y=-3x-2
5x+2y=15
Answer:
x,y=-19,55
Step-by-step explanation:
plug in y.
5x+2(-3x-2)=15
5x-6x-4=15
-x=19
x=-19.
Plug in.
y=-3(-19)-2
y=55
correct is B.
Hope this helps :D
Find the equation of the line specified.
The line passes through the points (-2, 3) and (-4,7)
a. y = -2x-1
y = -4x-1
b. y = -2x +3
d. y = -2x + 7
C.
Please select the best answer from the choices provided
Answer:
A……
Step-by-step explanation:
Guys please help me with this question
Answer:
Colin will have to wait for 2 hours for the pond to completely empty
Step-by-step explanation:
Volume of a Prism
The volume of a prism of base area Ab and height H is computed with the formula:
V=Ab.H
We are given a pond in the shape of a prism with a trapezoidal base (front view).
The area of a trapezoid of bases b1 and b2, and height a, is given by:
[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]
The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:
[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]
[tex]A_b=2\ m^2[/tex]
The height of the prism is H=1m, thus the volume of the pond is:
[tex]V=2\ m^2*1\ m[/tex]
[tex]V=2\ m^3[/tex]
It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:
[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]
The pond still has this volume of water:
[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]
The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in
[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]
Thus, Colin will have to wait for 2 hours for the pond to completely empty
PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!
Answer:
1. domain (-3,5] range (3,4]
2. domain [-2,4] range [5,4]
3. domain (1,4) range (-1,-4)
Step-by-step explanation:
im in algebra two so you can trust my answer. happy holidays and stay safe!
Step-by-step explanation:
1).domain [-3,5)
range( -4,3]
2)domain[-2,4)
range:[-2,5)
3) domain[1,4]
range [-4,-1]
How can I divide 18/15 without any leftovers
Answer:
You can turn the leftovers into a decimal. the answer you would get would be 1.2.
Step-by-step explanation:
Hope this helps and have a nice day!
Answer:
Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:
18 / 15 = 1.2000 = 1
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
18 - (15 x 1) = 3
Keep the original denominator and use the answers from Step 1 and Step 2 to get this:
1 3/15
Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:
1 1/5
Which would also equal to 1.2000.
Hope this kinda helped and made some sense.
(☞゚ヮ゚)☞BRAINIEST☜(゚ヮ゚☜)
Step-by-step explanation:
Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?
Answer:
$207.20
I hope this can help in any way!
A rectangular block of metal is 25cm long, 11cm wide and 9cm high. The metal block is melted down and all of the metal is used to make a cube. Work out the length of each side of the new cube formed
Answer:
29.03 cm
Step-by-step explanation:
Step one:
given
A rectangular block of metal is
25cm long
11cm wide and
9cm high.
The volume of the block is
= 25*11*9
= 2475cm^3
Required
The dimension of an equivalent cube
we know that volume of cube
v=l^3
24475=l^3
cube root both sides
l= ∛24475
l= 29.03 cm
Answer:
13.5cm
Step-by-step explanation:
Tried the other answer and got it wrong and saw the right one.
Please please please help
Part A: Marguerite rented a truck at $125 for 2 days. If she rents the same truck for 5 days, she has to pay a total rent of $275. Write an equation in the standard form to represent the total rent (y) that Marguerite has to pay for renting the truck for x days. (4 points) Part B: Write the equation obtained in Part A using function notation. (2 points) Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
Part B: Write the equation obtained in Part A using function notation. (2 points)
Part C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals. (4 points)
(10 points)
Answer:
:)
Step-by-step explanation:
Part A: To get an equation into standard form to represent the total amount rented (y) that Marguerite has to pay for renting the truck for x amount of days, we use the formula for the equation of a straight line.
Remember that the equation of a straight line passing through points is ( x_{1} , y_{1} ) and the points ( x_{2} , y_{2} ) is given by
y - y_{1} / x - x_{1} = y - y_{2} / x - x_{2}
Knowing that Marguerite rented a truck at $125 for 2 days, we know if she rents the exact same truck for 5 days, she has to pay a total of $275 for the rent.
This means that the line modeling this situation crosses points at (2, 125) and (5, 275).
The equation modeling the total rent (y) that Marguerite has to pay for renting the truck for x days is given by
y - 125 / x - 2 = 275 - 125 / 5 - 2 = 150 / 3 = 50
But if you are writing the equation in standard form it would be
50x - y = -25
Part B:
When writing the function using function notation it means you are making y the subject of the formula and then replacing the y with f(x).
If you remember that from part A, we have that the equation for the total rent which is y that Marguerite has to pay for renting the truck for x amount of days is given by
y = 50x + 25.
Writing the equation using the function notation would give us this
f(x) = 50x + 25
Part C:
To graph the function, we name the x-axis the number of days and name the y-axis total rent. The x-axis is numbered using the intervals of 1 while the y-axis is numbered using the intervals of 50.
The points of (2,125) and of (5,275) are marked on the coordinate axis and a straight line is drawn to pass through these two points.
what is 2.23607 as a fraction
Answer:
559/250
Step-by-step explanation:
Answer:
223607/100000
Step-by-step explanation:
I'm not sure if this is what you wanted, but 2.23607 is 223607/100000 as a fraction because the decimal is in the 100,000th place. It can't be simplified any more, but if you were to round it would be 559/250. Hope this helps you!
What are the zeros of this function? Circle them on the graph.
Given:
The graph of a function.
To find:
The zeros of this function on the graph.
Solution:
We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.
From the given graph it is clear that, the graph intersect the x-axis at two points.
Therefore, the marked points on the below graph are the zeros of the function.
Help please it’s urgent!
Please help me. Solve for x state the properties used. 5(x - 2) - 6 = 24
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
5(x - 2) - 6 = 24
Step 2: Solve for x
Add 6 to both sides: 5(x - 2) = 30Divide 5 on both sides: x - 2 = 6Add 2 to both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 5(8 - 2) - 6 = 24Subtract: 5(6) - 6 = 24Multiply: 30 - 6 = 24Subtract: 24 = 24Here we see that 24 does indeed equal 24.
∴ x = 8 is the solution to the equation.
Which represents z = 3 (cosine (StartFraction 7 pi Over 6 EndFraction) + I sine (StartFraction 7 pi Over 6 EndFraction) )?
Answer:
The first one
Step-by-step explanation:
Answer:
A on edge
Step-by-step explanation:
1. At a water park, you can rent a raft for $2 per
hour.
Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?