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3 years ago

7

Can I have some help? I need to get done. Thank you! =)

1 answer:

Setler [38]3 years ago

6 0

1 crawdad/shrimp i believe

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The base of a triangle is twelvetwelve more than twice its height. if the area of the triangle is 4545 square centimeters, find

mr Goodwill [35]

In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.

In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90

Simplify by dividing the two out.

h^2 + 6h - 45 = 0.

Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.

After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.

In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68

Hope this helps :)

6 0

4 years ago

A line passes through the points (2,-4) and (6,10). What is the equation of the line?

deff fn [24]

Answer:

y = $\frac{7}{2}$ x - 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (6, 10)

m = $\frac{10+4}{6-2}$ = $\frac{14}{4}$ = $\frac{7}{2}$ , thus

y = $\frac{7}{2}$ x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 4) , then

- 4 = 7 + c ⇒ c = - 4 - 7 = - 11

y = $\frac{7}{2}$ x - 11 ← equation of line

7 0

3 years ago

If f(x) = 2x - 2 and g(x) = x}, what is (gºf)(4)?

Bad White [126]

Answer:

We conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

Step-by-step explanation:

Given

$f(x) = 2x - 2$

$g(x) = x$

We have to determine (gºf)(4).

(gºf)(4) = g(f(4))

f(4) = 2(4)-2

= 8 - 2

= 6

Thus,

(gºf)(4) = g(f(4)) = g(6) = 6

Therefore, we conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

4 0

3 years ago

Select the correct answer.

Serhud [2]

Answer:

Dude

Step-by-step explanation:

There's nothing here

7 0

2 years ago

Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)

cluponka [151]

Answer:

B

Step-by-step explanation:

y = $\frac{1}{4}$ is the equation of a horizontal line parallel to the x- axis.

A line perpendicular to it will be a vertical line parallel to the y- axis with equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 6, - 9 ) with equation

x = - 6 → B

5 0

3 years ago