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3 years ago

Can anyone please help me solve!!!!!

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

30 square units

Step-by-step explanation:

We know that the area of a triangle is equal to half of the product between the base and the height.

In this case, we can see that one of the sides of the triangle is parallel to the x-axis, then we can define:

Base = difference between the two extreme x-values

In this case, the extremes (the point at the left and the point and the right) are:

(-5, 3) and (7, 3)

The difference between the x-values is:

D = (7 - (-5)) = 7 + 5 = 12

Then the base is 12 units long.

For the height, we can find the difference in the y-value between the lowest point and the highest one.

In this case, we have two points at the same height (both with y-value = 3)

and the top point is (4, 8)

The difference in the y-value is:

D = (8 - 3) = 5

Then the height is 5 units.

Now that we know the height and the base of the triangle, the area is:

A = (5 units)*(12 units)/2 = 30 square units.

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S_A_V [24]

The Solution:

The correct answer is [option B]

Given:

Required:

To determine the inequality represented by the given number line.

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1 year ago

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!!<br> WHAT IS M∠1?

TEA [102]

Answer:

angle 1= $135$ °

Step-by-step explanation:

to find the angle of 1 you should know angle 2, what is angle 2?

angle $45$ ° and angle $1$ are symetrical so they have the same value.

now that we know that angle 2 is equal to $45$ °

then what is angle 1

if the whole line has an angle of $180$ ° and angle $45$ °.

so the equation will be :

$45+x=180$

flip the equation to find $x$ :

$180-45=x$

$180-45=x\\135=x\\x=$ the angle 1 which we found in the given equation is 135

check if my answer is correct is :

$135+45=180\\180=180$

my equation is correct

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3 years ago

Read 2 more answers

Use the substitution method to solve the system of equations.

grandymaker [24]

Insert 3x - 7 for y in 15x - 5y = 14
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3 years ago

Angeline bought s yards of satin fabric priced at $8. 09 per yard, and c yards of cotton fabric priced at $3. 79 per yard. Use a

kow [346]

Let represents the total cost. We know for our problem that each yard of satin fabric costs $8.09, so yards will cost . similarly, each yard of cotton fabric costs $3.79, so yards will cost . We can also infer that the total cost, , will be the sum of the yards of satin fabric and the yards of cotton fabric, so:

Now, to determine the amount that Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, we just need to replace and in our expression:

We can conclude that if Angeline would spend in all if she bought 5 yards of satin fabric and 8 yards of cotton fabric, she would spend $70.77

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2 years ago

What composition forms the equation p(x) when given the functions for h(x), f(x), k(x), and g(x)? PLEASE HELP!!!!! thank you!!!!

Flura [38]

Answer: Choice B. k(h(g(f(x))))

For choice B, the functions are k, h, g, f going from left to right.

===========================================================

Explanation:

We have 4x involved, so we'll need f(x)

This 4x term is inside a cubic, so we'll need g(x) as well.

So far we have

g(x) = x^3

g( f(x) ) = ( f(x) )^3

g( f(x) ) = ( 4x )^3

Then note how we are dividing that result by 2. That's the same as applying the h(x) function

$h(x) = \frac{x}{2}\\\\h(g(f(x))) = \frac{g(f(x))}{2}\\\\h(g(f(x))) = \frac{(4x)^3}{2}\\\\$

And finally, we subtract 1 from this, but that's the same as using k(x)

$k(x) = x-1\\\\k(h(g(f(x)))) = h(g(f(x)))-1\\\\k(h(g(f(x)))) = \frac{(4x)^3}{2}-1\\\\$

This leads to the answer choice B.

To be honest, this notation is a mess considering how many function compositions are going on. It's very easy to get lost. I recommend carefully stepping through the problem and building it up in the way I've done above, or in a similar fashion. The idea is to start from the inside and work your way out. Keep in mind that PEMDAS plays a role.

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3 years ago