BD = 2x-4
But it's also BE - CE + CD
BE is 3x-1
CE is 2x-3
CD is 2
so
BD = 3x-1 -(2x-3) +2
simplified
BD = 1x +4
since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal
2x -4 = 1x +4
let's solve for x and that put it into either of the 2 equations.
2x -4 = 1x +4
subtract 1x on both sides
x -4 = 4
add 4 on both sides
x = 8
substitute x for its value in 2x -4 = 1x +4
(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).
2*8 -4 = 1*8 +4
12 = 12
seems true
BD is safely 12
There are 2144 chickens and ducks in a farm. The total number or chickens and cows are 1456. The are 5 times as many ducks as cows. The farmer sells each chicken for 12 dollars. How much will he earn by selling all his chickens?
Answer should be 21
=
189
9
=
21
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 22/7 for π.
Answer:
0.167π
Step-by-step explanation:
r = 0.5
[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 0.5^{3} = 0.167\pi[/tex]
A Triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to w
rule?
• (X,Y) (x+4,y-8)
• (X,Y) → (X-4, y-8)
• (X,Y)(-8, y+4)
• (x,y) → (x+8, y-4)
Answer:
C (x, y) - (x - 8, y + 4)
Step-by-step explanation:
In circle F with mEHG = 42, find the mEFG.
Answer:
∠EFG=2×∠EHG
∠EFG=2×42
∠EFG=84°
so,m∠EFG=84°
------------------------
hope it helps...
have a nice day!!
What is the length of DF?
Answer:
Step-by-step explanation:
Because this is an isosceles trapezoid, the diagonals are congruent. That means that DF is the same length as EG which is 11.
What the measurements for b ? * just different problems*
!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
which expression represents how much money Bennett had left after x months.
Answer:
Y=6000-400x
Step-by-step explanation:
Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.
Describe fully the transformation that maps shape a and b
Answer:
Rotate 90' clockwise Centre (-2, -2)
if you mean A onto B
Leticia places a 10 foot ladder against a wall at a 70° with the
ground. Determine how far the base of the ladder is from the
wall.
O 3.42 feet
0 27.47 feet
O 9.4 feet
29.24 feet
none of these
Answer:
To solve this problem you must apply the procedure shown below:
1. You have that ladder measures 10 foot and forms and angle of 70 degrees with the ground.
2. Therefore, you have:
Sinα=opposite/hypotenuse
α=70°
opposite=x
hypotenuse=10
3. When you substitute the values, you obtain:
Sin(70°)=x/10
4. Now, solve for x, as following:
x=(10)(Sin(70°)
x=9.39 feet
Therefore, the answer is: 9.39 feet.
Step-by-step explanation:
please help me solve
please show how you got the answer
Answer:
Step-by-step explanation:
New questions in Mathematics
In a 30-30-90 triangle, the hypotenuse is 38, what is the length of the shortest side
Pls help this is due at 8 !!!!!!
6. CDs can be manufactured for $0.19 each. The development cost is $210,000. The first 500 discs are samples and will not be sold a. Write function f…
somebody help me out
Which rational functions have an oblique asymptote? Check all that apply
what is the estimate product of 345 and 34? [tex] \\ [/tex]
what is the estimate product of 345 and 34?
ucas y Fernando deciden remontar, cada uno, un barrilete y cuentan con 60m de hilo cada uno. El barrilete de Lucas forma un ángulo de 45º con la hori…
somebody help me out
How many parallelograms are in an octagonal prism?
Tn=2n-5 write down four term in a sequence
somebody help me out !
Find the value of angle n
PLEASE I NEED HELP IM GOING TO CRY I HAVE A TOPIC TEST TOMORROW PLEASE REPLY ASAP.!!!!
Find the value of angle y
What is the midpoint of AB? A G H NT -9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 0000 4 5 6 7 8 9 point F O point G O point H pointi
Point A is reflected across line y=x and the n dilated by a factor of 3 using the origin as the center of dilation.
Given that a=3, b=-2 and c= -4, evaluate the following expression. 2c-a/3c+b - 5a+4c/c-a
Please help me asap!
what is lcm of 15 and 143
151°
116°
135°
139°
101°
136° 164°
What is the value of x? PLEASE HELP
find the first derivative of the following:
f(x)=e^{x³}
[tex]answer = 3 {x}^{2} {e}^{ {x}^{3} } [/tex]
Answer:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
Step-by-step explanation:
we would like to figure out the first derivative of the following:
[tex] \displaystyle f(x) = {e}^{x ^{3} } [/tex]
to do so take derivative In both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{x ^{3} } [/tex]
to differentiate the above we can consider composite function derivation given by
[tex] \rm\displaystyle \frac{d}{dx} f(g(x)) = \frac{d}{dx} f'(g(x)) \times \frac{d}{dx} g'(x)[/tex]
let
g(x)=u
so we obtain:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{u} \times \frac{d}{dx} u[/tex]
substitute back:
[tex] \displaystyle f'(x) = \frac{d}{dx} {e}^{ {x}^{3} } \times \frac{d}{dx} {x}^{3} [/tex]
by using derivation rule we acquire:
[tex] \displaystyle f'(x) = 3x^2 {e}^{ {x}^{3} } [/tex]
and we are done!
Does the equation 2(x + 3) + x = 3(x + 2) have one, infinite, or no solutions? Explain how you got your answer.
Simplify -5^2 + 8|-1| + (-3).
30
-36
-20
14
Answer:
-20
lmk if u need a step-by-step explaination id be glad to help you <3
Answer:
-20
Step-by-step explanation:
-5 ^ 2 is -25
|-1| is the same as 1
so this will be
-25 + 8 - 3
- 20
What is the product?
Answer:
Step-by-step explanation:
You can do this in two steps.
4s * (5s^2 + 10s + 3) Remove the brackets
20s^3 + 40s^2 + 12 s
2(5s^2 + 10s + 3)
10s^2 + 20s + 6
Now add them
20s^3 + 40s^2 + 12s + 10s^2 + 20s + 6
Rearrange them so the like terms are together.
20s^3 + 40s^2 + 10s^2 +12s + 20s + 6
20s^3 + 50s^2 + 32s + 6
Determine the surface area of the shape below.
Try this option:
1. the required surface area consists of: A=A₁+A₂+A₃, where
2. A₁=pi*r*l - the surface of the cone:
pi=3.14; r=4/2=2 cm; l=sqrt(6²+2²)=2√10≈6.33 (cm);
A₁=3.14*2*6.33=39.74 (cm²).
3. A₂=a²-pi*r² - the surface of the top plane:
A₂=36-3.14*4=23.43 (cm²).
4. A₃=5*a² - the surface of the five planes of the given cube:
A₃=5*6²=180 (cm²).
5. the required area:
A=39.74+23.43+180=243.17 (cm²).
Answer: 243.17
Round to the nearest tenths place30.06858282
Answer:
30.1
Step-by-step explanation:
Have a great summer :)
can someone help please
Answer:
isn't it b i remember doing something almost the same as this
Answer:
24
Step-by-step explanation:
f(4) means you plug the 4 into the equation so 4 x 4= 16
then 3(4)= 12
16+12-4=24
The mean number of pairs of shoes sold daily by a shoe store is 36 with a standard deviation of 3. On what percent of days would you expect the store to sell from 33 to 42 pairs of shoes?
Answer:
81.9%
Step-by-step explanation:
z-score is is z = (x-μ)/σ,
where x is the raw score
μ is the population mean = 36
σ is the population standard deviation = 3
For x = 33
z = 33 - 36/3
= -1
Probability value from Z-Table:
P(x = 33) = 0.15866
For x = 42
z = 42 - 36/3
= 2
Probability value from Z-Table:
P(x = 42) = 0.97725
The probability of days would you expect the store to sell from 33 to 42 pairs of shoes is
P(x = 42) - P(x = 33)
= 0.97725 - 0.15866
= 0.81859
Therefore, the percent of days would you expect the store to sell from 33 to 42 pairs of shoes is calculated as
0.81859 × 100
= 81.859%
Approximately = 81.9%
Pat bought 6 shirts that were all the same price. He used a traveler's
check for $25, and then paid the difference of $86. What was the
price of each shirt?
Answer:
Each shirt costs $18.50
Step-by-step explanation:
Questions such as these usually involve quite simple calculations, but they are important in being able to convert a scenario described in words into math calculations.
First, read the information carefully and then summarize what you are given in short sentences. Pat bought 6 shirts. He paid using a check and cash.
The total amount paid was $ 25 + $ 86 = $ 111
The shirts all cost the same price.
The cost of each shirt was: 111 ÷ 6 = $ 18.50
Answer:
Each shirt was 18.50
Step-by-step explanation:
The total cost of the 6 shirts was 25+86 = 111
Divide the total by 6 to find the cost of each shirt
111/6 =18.5
Each shirt was 18.50
Pls help if you only know the correct answer! Thanks! :)
Answer:
A. -3/5 B. 1/5. C. 0.8.
Step-by-step explanation:
Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.
The equation of a line is 5x + 10y = 15
Answer:
c
Step-by-step explanation:
I don't think I understand this one try graphs n diagram
What is the domain of the function y=3sqrtx-1?
-infinity
-1
0 less than or equal to x
1 less than of equal to x
Answer:
Step-by-step explanation:
A 2 kg hammer is used to nail a 0.002 kg nail with a force of 10 N. How much force is applied to the hammer?
Answer:
19.62N
Step-by-step explanation:
Given data
Mass =2kg
Force =10N
The applied force is
F=mg
F=2*9.81
F=19.62N
Hence the applied force is 19.62N
What is the y-coordinate of the ordered pair that satisfies the system of linear equations?
6x+4y= -14
-x - 5y=11
A. 2
B. 1
C. -1
D. -2
Answer:
D
Step-by-step explanation:
Reduce £20 by 15%
:
:
:
:
:
:
Answer:
the new value is 17 and the absolute change is -3
Step-by-step explanation:
take 20 and subtract your percentage increase
20 - (15% × 20) =
20 - 15% × 20 =
(1 - 15%) × 20 =
(100% - 15%) × 20 =
85% × 20 =
85 ÷ 100 × 20 =
85 × 20 ÷ 100 =
1,700 ÷ 100 =
evaluate 999^3 by using suitable identity
The answer is:
999^3 = 997002999
what’s the area of 4cm
2cm
4cm
Rcm
11 cm
2 cm
Answer:
If the area of a square = 4cm^2
then the side length of = √4 = 2 cm
Please Help ASAP!! Due today!!
Answer:
-4 equals p=2 and a and R are at point Y downwards.
Find the slope of the line that contains the points named. G(3, -2), H(7, -2)
A. 0
B. -1
C. Undefined
A. 0
Answer:
Solution given
(x1,y1)=G(3, -2),
(x2,y2)=H(7, -2)
now
slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0
Answer:
0
Step-by-step explanation:
To find the slope
m= ( y2-y1)/(x2-x1)
= ( -2 - -2)/ ( 7-3)
= (-2+2)/(7-3)
= 0/4