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3 years ago

2. Find the surface area of the triangular pyramid. The base is an equilateral triangle.

Mathematics

1 answer:

Archy [21]3 years ago

3 0

Answer:

19.2

Step-by-step explanation:

you just need to add them then you will be just

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Janie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

UkoKoshka [18]

Answer:

Option (D) is correct.

No, They will not intersect.

Step-by-step explanation:

Given Points for g(x), (1,2) , (2,4) and (3,6)

Since g is a linear function then it must be in form of g(x) = mx +c where, c is constant and m is slope.

We first calculate the slope using,

$m=\frac{y_2-y_1}{x_2-x_1}$

Here, consider $x_1=1 , x_2=2 , y_1=2, y_2=4$

Substitute above, we get slope as,

$m=\frac{4-2}{2-1}=2$

Thus, equation becomes g(x) = 2x + c ...(1)

For c plug the values in (1),

(1,2) ⇒ 2= 2 + c ⇒ c = 0

Thus, Equation of G(x) is 2x.

When we plot it it do not intersect f(x).

Thus, Option (D) is correct.

No, They will not intersect.

3 0

3 years ago

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PLS HELP ILL MARK BRAINLIST!!

hammer [34]

Answer:

the range will decrease

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3 years ago

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

Step-by-step explanation:

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

Step-by-step explanation:

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$