Two functions are given below: f(x) and h(x). State the axis of symmetry for each function and explain how to find it.

Magda saw a triangular sign with a base of 4 feet and a height of 2.8 feet. She reasoned that if she first divided each dimensio

motikmotik

Answer: She is not correct, because she must multiply the base and the height of the triangle and then divide by 2.

Step-by-step explanation:

1. The formula for calculate the area of a triangle is shown below:

$A=\frac{b*h}{2}$

Where $b$ is the base and $h$ is the height.

2. Then, if she applied the method she reasoned, she'd obtain the following area:

$b=\frac{4ft}{2}=2ft\\h=\frac{2.8ft}{2}=1.4ft\\A=2ft*1.4ft\\A=2.8ft^{2}$

3. But actually, Magda should multiply the base and the height of the triangle and then divide by 2. Then, the correct area is:

$A=\frac{4ft*2.8ft}{2}=5.6ft^{2}$

8 0

4 years ago

Read 2 more answers

Giving brainiest+points need explanation on this one my answer is 25 is it right?

Sergio [31]

Yes, the answer of 25 is correct.

4 0

4 years ago

Sam bought 15 pies and 7 slices of cake for $55.25. If each pie cost 2/5 as much as a slice of cake, what was the total cost of

romanna [79]

Answer: $10.20

Step-by-step explanation:

Let's first collect the information from the word problem.

Bought 15 pies and 7 cake slices

Total cost was $55.22.
Pies cost $\frac{2}{5}$ as much as a slice of cake

<h3><em>We need to solve for:</em></h3>

Total cost of 1 pie and 2 cake slices

1. Create an equation/expression:

To solve the problem, we need to find the price of a pie and cake slice.

Using the information gathered, the equation is:

$55.25 = 7x+15(\frac{2}{5} x)$

<em>x = the cost of the slice of cake.</em>

<em />

2. Simplify/Solve

$55.25 = 7x+15(\frac{2}{5}x)\\55.25 = 7x+15*\frac{2}{5}*x\\55.25 = 7x+6x\\55.25 = 13x\\4.25 = x$

Great! we have the price of a slice of cake. ($4.25)

Remember that the pie is $\frac{2}{5}$ of a slice of cake, so now find the price of the pies.

Pie = $\frac{2}{5} 4.25$

Pie = $1.70

Awesome! We know a slice of cake costs $4.25 and a slice of pie costs $1.70.

3. Check your work!

<em>Check to make sure the math is done correctly!</em>

$55.25=7(4.25)+15(1.70) \\55.25=29.75+25.50\\55.25=55.25$

Good! It is verified that our calculations are correct.

4. Solve!

1 pie and 2 cakes cost: $1.70+2(4.25)$

$10.20 is our final answer!

Hope this helped!~~ -Astro

7 0

4 years ago

-1=5+x/6 step by step

Gnesinka [82]

Answer:

-1=(30+x)÷6

-6=30+x

-6-30=x

x=-36

3 0

3 years ago

Shobo's mother's present age is six times Shobo's present age. Shobo's age five

il63 [147K]

Answer:

Step-by-step explanation:

Shobo's age = x years

His mother's age = 6 times of

Shobo's age

= 6x years

Five years from now

________________

Shobo's age = ( x + 5 ) years

According to the problem given,

x + 5 = one by third of his mother's

present age

x + 5 = 6x / 3

x + 5 = 2x

5 = 2x - x

5 = x

Therefore ,

Shobo's present age = x = 5 years

His mother's age = 6x

= 6 × 5

= 30 years

4 0

3 years ago