Answer:
[tex] \rm b = \dfrac{2A }{h} [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: b: \\ \rm \longrightarrow A = \dfrac{1}{2} bh \\ \\ \rm A = \dfrac{bh}{2} \: is \: equivalen t \: to \: \dfrac{bh}{2} = A: \\ \rm \longrightarrow \dfrac{bh}{2} = A \\ \\ \rm Divide \: both \: sides \: by \: \dfrac{h}{2} : \\
\rm \longrightarrow \dfrac{bh}{2} \div \dfrac{h}{2} = A \div \dfrac{h}{2} \\ \\ \rm \longrightarrow \dfrac{bh}{2} \times \dfrac{2}{h} = A \times \frac{2}{h} \\ \\ \rm \dfrac{bh}{2} \times \dfrac{2}{h} = b : \\ \rm \longrightarrow b = \dfrac{2A }{h}[/tex]
Answer:
b in terms of A and h will be:
[tex] \boxed{ \rm{b = \frac{2A}{h} }}[/tex]
Step-by-step explanation:
This is basically the formula for finding the area(A) of the triangle in terms of b and h. We have to solve for b in terms of A and h.
[tex] \rm{A = \dfrac{1}{2} bh}[/tex]
Multiplying 2 in the LHS. This is shift because inverse of division is multiplication.
[tex] \rm{2A = bh}[/tex]
Dividing h from both sides,
[tex] \rm{b = \dfrac{2A}{h} }[/tex]
And we are done! :D
Mr Goldstein is driving from Houston. The equation y = -45x + 270 represents the numbers of miles that he still has to travel after driving for x hours. Find and intercept the slope and y-intercept of the line that represents this situation.
Step-by-step explanation:
The y-intercept formula is y=mx+b
(m) is the slope
(b) is the y intercept
So in the given formula -45 would be the slope and 270 is the y intercept.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:900
Step-by-step explanation:
what Is thee error and the solution
Answer:
X=5
Step-by-step explanation:
Multiply by 3 first
Please help! Thank you :) Will give brainlist
answer please below!!!
Answer:
False because of the way your trionomial is setup
given 2 variables and you only have one
Step-by-step explanation:
what is the multiple of 9 but is also a factor of 9
Answer:
the answer i believe is 3
Last Sunday 1,675 people visited the amusement park. 56% of the visitors were adults, 16% were teenagers, and 28% were children ages 12 and under. Find the number of adults, teenagers, and children that visited the park. *
Answer:
56
Step-by-step explanation:
56Step-by-step explanation 3x12=36 36+20=56
X-3y=9 into a slope intercept form
Answer:
y=1/3x-3
Step-by-step explanation:
Slope intercept form is: y=mx+b
so you need to leave y on one side and the others on the other side:
First, you need to move the x to the other side by subtracting x on both sides:
x-x-3y=-x+9
Simplify:
-3y=-x+9
Now you divide -3 on both sides to eliminate the -3 on -3y:
y=1/3x-3
Hope this helps!
write an expression in simplest form that represents the cost for shampooing and cutting w women's hair and m men's hair.
Cut for women: $15
Cut for men: $7
Shampoo for women: $5
Shampoo for men: $2
Answer:
the cost of the women's haircut is $15 and to shampoo the woman's hair is $5
and the cost of the mens hair cut is $7 and to shampoo the mens hair is $2
15+5=$20 is how much it cost for the women.
7+2=$9 is how much it cost for the men.
Step-by-step explanation:
grabriella volunteers at the hospital every 4th day.she volunteers at the food pantry every 6th day.she volunteered at the hospital and the food pantry both on march 31.On what date will she next volunteer at both?
Answer:
April 12th
Step-by-step explanation:
3x=9+9x what does x equal?
Answer:
Exact Form:
X= - 3/2
Decimal Form:
X= -1.5
Mixed Number Form:
X= - 1 1/2
Step-by-step explanation:
what is the simplified form of x+6/x+4 +x-3/3
Answer:
3x+2
Step-by-step explanation:
x+6/x+4+x-3/3
3x+6/4-3/3
3x+6/1/3
3x+6/3
3x+2
A submarine is at a depth of 30m. It descends another 20m and then rises
40m. What is its final depth?
the answer is 10m deep after rising
f(x) = 5x^3 + 2x^2 – 7x + 4
g(x) = 3x – 7
Find (f +g)(x)
Answer:
d
Step-by-step explanation:
I am pretty sure that is the answer
A function assigns the values. The value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3. The correct option is D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the two functions such as,
f(x) = 5x³ + 2x² – 7x + 4
g(x) = 3x – 7
Now, the value of (f +g)(x) is the value of the function which is produced when the two of the given function are added together, therefore, the value of the added function can be written as,
(f +g)(x) = f(x) + g(x)
(f +g)(x) = (5x³ + 2x² – 7x + 4) + (3x – 7)
= 5x³ + 2x² – 7x + 4 + 3x – 7
= 5x³ + 2x² – 4x – 3
Hence, the value of (f +g)(x) for the two given functions f(x)=5x³+2x²–7x+4 and g(x)=3x–7 is 5x³ + 2x² – 4x – 3.
Learn more about Function:
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help fast it's timed please
Answer:
180 degrees
Step-by-step explanation:
the sum of all the interior angles of a triangle will always be 180 degrees
Answer: 180 degrees
Step-by-step explanation: just search it up and yes it is 180 degrees
If we dilate a triangle with a scale factor of 3 how can we calculate the side lengths of the new triangles
Answer:
Option 2
Step-by-step explanation:
If the point (0, 20) is the y-intercept of the parabola with the vertex is (8, -12), What is the equation for this parabola.
Answer:
f(x) = ¹/₂(x - 8)² - 12Step-by-step explanation:
f(x) = a(x - h)² + k - vertex form of the equation of the parabola with vertex (h, k)
so the equation of parabola with the vertex (8, -12) is
f(x) = a(x - 8)² - 12
The point (0, 20) is the y-intercept means if x=0 then f(x)=20
20 = a(0 - 8)² - 12
20 +12 = 64a - 12 +12
32 = 64a
a = ³²/₆₄ = ¹/₂
Therefore the equation (in vertex form) of parabla is:
f(x) = ¹/₂(x - 8)² - 12
Question 1:
Solve for k :
Answer:
Step-by-step explanation:
Equation:
-3k = 108
We need to separate -3 from k. So we must do the inverse operation.
Divide both sides by -3
k = -36
Hope this helps :)
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solve 8p = 40 using mental math
A 32 B6 C 5 D 4
Answer:
B
Step-by-step explanation:
Answer:
c. 5
Step-by-step explanation:
8 times 5 is = to 40
En tu trabajo de ciencias te toco realizar un experimento de cultivó de hongos en una pieza de pan de harina de trigo y una tortilla de maiz. La secuencia de revisión para la toma de datos será, en el primer caso, cada 15 dias; y en el otro, cada 20 por tres meses. ¿A los cuantos días te tocaría revisar ambos cultivos?
Responder:
60 días
Explicación paso a paso:
Primer caso = cada 15 días
Segundo caso = cada 20 días
El número de días en los que habrá que comprobar ambos cultivos se puede obtener encontrando el mínimo común múltiplo de 15 y 20
Múltiplo de:
15:15, 30, 45, 60, 75, 90, 105
20:20, 40, 60, 80, 100, 120
El mínimo común múltiplo de 20 y 15 es 60
El día en el que habrá que controlar ambos cultivos es de 60 días
Which inequality contains (0,0)
Answer:
D
Step-by-step explanation:
D
What is the final sales price of a telescope that originally cost $400 but was marked up 32?
Answer:
$528
Step-by-step explanation:
I'm assuming you mean up 32%?
1. The ratio of boys to girls in the sixth grade is 2 : 3.
a. If there are 24 boys, how many girls are there?
b. If there are 80 students, how many are girls?
c. If there are 75 students, how many more girls are there than
boys?
Answer:
a. 36 girls
b. 48 girls
c. 15 more girls than boys
Step-by-step explanation:
a. if the ratio for the question is 2:3 with a refernce ratio of 24:X, with cross multiplication we find out the x=36
b. now we must separate 80 into the 2:3 ratio making 32:48 with 48 girls
c. the same thing will be done with 75, making its 2:3 ratio 30:45, to find the difference of the two numbers you must subtract, this shows that the difference is 15 more girls.
why did trump get any votes. he is a terrible person
Answer:
terrible people vote terrible representatives
Step-by-step explanation:
Anyone can find this?
Answer:
a=34 °
b=76°
c=70°
d=70°
Step-by-step explanation:
The angles 76° , 34°, and c make up a triangle. A triangle has a sum of 180°.
180° = 76° + 34° +c
c=70°
The parallel lines create 2 congruent triangles so we can use the same angles from the first triangle for the second one.
Winston needs at least 80 signatures from students in his school before he can run for class president. He has 23 signatures already. He and two of his friends plan to get the remaining signatures during lunch. If each person gets the same number of signatures, which inequality can Winston use to determine the minimum number of signatures each person should get so he can run for class president?Solve the inequality algebraically.
Answer:
At least 19 signatures.
Step-by-step explanation:
Winston already has 23 signatures, so he has 57 left to go (80 - 23).
There are 3 people collecting signatures, so the equation will be as following:
3x ≥ 57
To break down this equation, 3x because each person is collecting x number of signatures, and 57, because if you add those signatures upp, then it will have to be at least 57, therefore the operator should be ≥ .
If you solve 3x ≤ 57, then you will find that x ≥ 19, so they each have to have at least 19 signatures.
I hope that you found this helpful!
The college student who is looking for a data plan for her cell phone found a third option,
which also offers a 2 gigabyte monthly allowance for data.
The monthly cost of this option can be represented by function C defined by:
C(x) = 30x + 5, where x is the gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation,
Answer:
C(0.7) = 26
Step-by-step explanation:
Given:
C(x) = 30x + 5
where,
x = gigabytes of data used over the monthly allowance.
1. Find C(0.7) and explain what it means in this situation
C(0.7) means he used 0.7 gigabytes of data over the monthly allowance
Substitute x = 0.7 into the equation to find the monthly cost of the option
C(x) = 30x + 5
C(0.7) = 30(0.7) + 5
= 21 + 5
= 26
C(0.7) = 26
When x = 0.7, his total cost will be 26
is x=2y a proportional relationship??
Answer:
yes
Step-by-step explanation:
yes
x= y*something is proportional
x=sometting /y , will be invers proportional
Expand and Simplify
4( b+3) + 2 (b + 5)
Answer:
4( b+3) + 2 (b + 5)
4b+12+2b+10
6b+22
Step-by-step explanation:
Answer:
6b + 22
Step-by-step explanation:
4b + 12 + 2b + 10
add the like terms so 4b and 2b & 12 and 10
so: 6b + 22
Find the new price for the markdown given. Round to the nearest cent if necessary.
$14.99 marked down 20%
Answer:
$11.99
Step-by-step explanation:
A quadratic function is increasing to the left of x = 2 and decreasing to the right of x =2. Will the vertex be the highest or lowest point on the
graph of the parabola? Explain.
9514 1404 393
Answer:
highest point
Step-by-step explanation:
If the slope goes from positive to negative as x increases, the slope of the slope is negative. That means the curve opens downward. A parabola that opens downward has a vertex that is the highest point on the graph.