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3 years ago

Z varies jointly as x and y. If z=3 when x=3 and y=15, find z when x=6 and y=9

Mathematics

1 answer:

erik [133]3 years ago

8 0

Answer: 6

Step-by-step explanation:

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a triangle has vertices on a coordinate grid at N(2,-6), O(-10,-6), and P(2,7). what's the length in units of NO

kumpel [21]

12 units

|-10| + 2 = 12

4 0

3 years ago

Simplify the expression using trigonometric identities:

Anastaziya [24]

The simplified expression is the one in option B.

<h3>How to simplify the expression?</h3>

Remember that:

$sec(x) = 1/cos(x)\\\\cos(x) = cos(-x)$

With these two, we can rewrite the numerator as:

$sec(x)*sin(-x) + tan(-x)\\\\\frac{1}{cos(x)}*sin(-x) + tan(x)\\\\\frac{1}{cos(-x)}*sin(-x) + tan(-x)\\\\2*tan(-x)$

Replacing that in the given expression, we have:

$\frac{2*tan(-x)}{1 + sec(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}$

Now, if we multiply and divide by cos(-x), we get:

$\frac{2*tan(-x)}{1 + 1/cos(-x)} = \frac{2*tan(-x)}{1 + 1/cos(-x)}*\frac{cos(-x)}{cos(-x)} \\\\= \frac{2*sin(-x)}{1 + cos(-x)}$

Now remember that:

$cos(x) = cos(-x)\\sin(-x) = -sin(x)$

With these two properties:

$\frac{2*sin(-x)}{1 + cos(-x)} = \frac{-2*sin(x)}{1 + cos(x)}$

Then the correct option is B.

If you want to learn more about trigonometric identities:

brainly.com/question/7331447

#SPJ1

3 0

2 years ago

PLEASE HELP! ILL GIVE WHOEVER ANSWERS BRANLIEST!

Ivahew [28]

Answer: 70 I’m almost certain

Step-by-step explanation: 14 out of the 25 kids have a dog now if you were to have 125 kids which if 5 times the first 25 kids it would be 14x5 which is 70

8 0

4 years ago

. Leslie is blowing up one of her favorite photographs to hang on her wall. If the photo's original length and height were 8 inc

Katena32 [7]

Answer:

$L_2 = 2\frac{2}{15}\ ft$

Step-by-step explanation:

Given

Original

$Length(L_1) = 8\ in$

$Height (H_1) = 15\ in$

New

$Height (H_2) = 4\ ft$

Required

Determine the new length (L2)

Since the original photographs was blown up; the original and the new photographs would have the same ratio

i.e.

$Ratio = L_1 : H_1$

and

$Ratio = L_2 : H_2$

Equate both ratios

$L_1 : H_1 = L_2 : H_2$

Rewrite as fraction

$\frac{L_1}{H_1} = \frac{L_2}{H_2}$

Substitute values for L1, H1 and H2

$\frac{8}{15} = \frac{L_2}{4}$

Multiply both sides by 4

$4 * \frac{8}{15} = \frac{L_2}{4} * 4$

$4 * \frac{8}{15} = L_2$

$\frac{4 * 8}{15} = L_2$

$\frac{32}{15} = L_2$

$2\frac{2}{15} = L_2$

$L_2 = 2\frac{2}{15}\ ft$

The new length must be $2\frac{2}{15}\ ft$

7 0

3 years ago

What are the closest integers that the square root of 300 is in between?

cricket20 [7]

They are 17 and 18! The square root of 300 is 17.32 (rounded to the nearest tenth). The integer (or whole number) below that is 17. The whole number above it is 18. Therefore, the square root of 300 is between them.
Hope that helps! :)

6 0

3 years ago