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3 years ago

A triangle has an area of 48 square units. Its height is 8 units.

Mathematics

2 answers:

SpyIntel [72]3 years ago

6 0

The base is 12 because 48=b(8)1/2 8•1/2=4 and 4•12=48

Sloan [31]3 years ago

5 0

Area of triangle= 1/2(bh)
So u do the reverse to find the base
48 x 2 which equals 96
Then u divide
96 divided by 8 = 12
Length of base equals 12

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A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte

SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

6 0

3 years ago

What kind of problem do we need to use “indefinite integral” to solve? Use a real life example to explain.

anastassius [24]

Answer:

Indefinite integration acts as a tool to solve many physical problems.

There are many type of problems that require an indefinite integral to solve.

Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.

As an example consider the following example:

Suppose that we need to calculate the total force on a object placed in a non- uniform field.

As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

$E(x)=\frac{E_{o}}{e^{kx}}$

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.

But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

$dF=E(x)\times qdx\\\\dF=\frac{qE_{o}}{e^{kx}}dx$

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

$\int dF=\int \frac{qE_{o}}{e^{kx}}dx$

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.

4 0

3 years ago

3x-9x+6=20-3x+4x Please answer.

fomenos

I gotchu.
<span>3x-9x+6=20-3x+4x
Combine like terms.
-6x+6=20+x
Bring x over to the left side.
-x -x
-7x+6=20
bring 6 to the right side.
-6 -6
-7x=14
Divide -7 on both sides to isolate x.
x= -2

CHECK
</span><span>3x-9x+6=20-3x+4x
-6(-2)+6=20+(-2)
18=18
ANSWER: x= -2</span>

6 0

3 years ago

HURRY PLEASE When 5 and 6 are multiplied by the same factor, how do the ratios compare to the ratio 5:6? The ratios are equivale

erma4kov [3.2K]

Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply both 5 and 6, the ratio stays the same.

5:6 = 10:12 = 15:18 = 20:24 etc.

You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.

24/20 = 1.2

15/18 = 1.2

10/12 = 1.2

6/5 = 1.2

6 0

3 years ago

Rick and Betty are going to Virginia. It is an 8 hour trip. Rick gets. 50 mile head start and drives at a rate of 55 mph. Betty

maw [93]

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Step-by-step explanation:

Given,

Head start of Rick = 50 miles

Speed of Rick = 55 mph

Let,

x be the number of hours

y be the total miles

Distance covered by Rick in x hours = Speed * Time + Head start

y = 55x + 50

Speed of Betty = 65 mph

Total miles = Speed*Time

y=65x

The equations y=55x+50 and y=65x represents Rick's and Betty's trip.

Keywords: variable, addition

Learn more about variables at:

#LearnwithBrainly

7 0

3 years ago