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lisabon 2012 [21]

2 years ago

8

To measure the height of a tree, Alma walked 125 ft from the tree and

1 answer:

Anastasy [175]2 years ago

6 0

Answer:

78.11 ft

Step-by-step explanation:

$=125 tan 32\\=78.11 ft$

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Numberline shows n is less than -2

musickatia [10]

Question:

What? I need more info

5 0

3 years ago

Read 2 more answers

The parabola y = x2is shifted down by 6 units and to the right by 5 units.

omeli [17]

The equation of the new parabola is y = (x - 5)² - 6

Step-by-step explanation:

Let us revise the translation of a function

If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k

∵ The equation of the parabola is y = x²

∵ The parabola is shifted down by 6 units

- That means new y = y - k and k = 6

∴ The new y = x² - 6

∵ The parabola is shifted 5 units to the right

- That means the new y = (x - h)² and h = 5

∴ The new y = (x - 5)²

∴ The new equation is y = (x - 5)² - 6

The equation of the new parabola is y = (x - 5)² - 6

Learn more

You can learn more about transformation in brainly.com/question/9381523

#LearnwithBrainly

3 0

4 years ago

Factor the expression. 16j2 + 24j + 9

rjkz [21]

Option C: $(4 j+3)^{2}$ is the correct answer.

Explanation:

The given expression is $16 j^{2}+24 j+9$

We need to factor the expression.

Let us rewrite the expression as

$(4j)^{2}+24 j+(3)^2$

Also, we can rewrite the term $24j$ as $2(4)(3)j$

Thus, we have,

$(4j)^{2}+2(4j)(3)+(3)^2$

Hence, the equation is of the form,

$(a+b)^{2}=a^{2}+2 a b+b^{2}$

where $a=4 j$ and $b=3$

Hence, the factor of the expression can be written as $(4 j+3)^{2}$

Thus, the factored expression is $(4 j+3)^{2}$

Therefore, Option C is the correct answer.

6 0

4 years ago

It is stated that a quantity varies directly as another if the two quantities always change in the same ratio. So, what would ha

lys-0071 [83]

Answer:

2k

Step-by-step explanation:

Let k is the ratio between two variables or y = kx

when x double, means: y = k (2x) = 2kx quantity y will change with a ratio 2k

5 0

3 years ago

Define the value of the expression 3^2 x 3^{-5}

Tanya [424]

Answer:

Between 0 and 1

Step-by-step explanation:

The given expresion is

${3}^{2} \times {3}^{ - 5}$

Recall that:

${a}^{m} \times {a}^{n} = {a}^{m + n}$

We apply this property of exponents to get;

${3}^{2} \times {3}^{ - 5} = {3}^{2 + - 5} = {3}^{ - 3}$

We rewrite to obtain a positive index as:

${3}^{2} \times {3}^{ - 5} = \frac{1}{ {3}^{3} } = \frac{1}{27}$

Therefore the value of the expression is between 0 and 1.

8 0

3 years ago