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just olya [345]
4 years ago
10

Solve the following system of equations by using the substitution method.

Mathematics
1 answer:
jeka57 [31]4 years ago
8 0

Use the first equation   (y= 6x - 11)   to simplify the second equation (reduce the number of variables there from 2 to 1):


-2x - 3(6x - 11) = -7

-2x - 18x + 33 = -7.  Combining like terms, -20x = -40, or x = 2.

If x = 2, use the first equation to determine y:  y = 6(2) - 11 = 1

The solution is (2,1).

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Which statement is true?
goldfiish [28.3K]

Answer:

pretty sure its c

Step-by-step explanation:

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3 years ago
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Savannah plans to conduct a study that involves cosmetics. She wanted to know the preference of cosmetic use among adolescents,
liberstina [14]

Answer:

Descriptive research design

Step-by-step explanation:

Descriptive research design is a type of quantitative research design that tends to describe/depict the current status (condition) of a particular variable or phenomenon. In the case above, the research is quantitative because it deals with quantifiable data, which is the preference(quantity) of cosmetics. Savannah wanted to describe the preference of cosmetic use among adolescents, young adult, middle adult and the late adult women, which makes it a descriptive research design. It does not involve conducting experiment, or generating correlations etc.

Therefore, it is a Descriptive research design

6 0
3 years ago
Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet
zmey [24]

Answer:

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

hypotenuse^2=perpendicular^2+base^2

hypotenuse^2=(5)^2+(12)^2

hypotenuse^2=25+144

hypotenuse^2=169

Taking square root on both sides.

hypotenuse=13

In a right angled triangle

\sin \theta = \dfrac{opposite}{hypotenuse}

\sin \theta = \dfrac{5}{13}

\sec \theta = \dfrac{hypotenuse}{adjacent}

\sec \theta = \dfrac{13}{12}

In second quadrant only sine and cosecant are positive.

\sin \theta = \dfrac{5}{13} and \sec \theta = -\dfrac{13}{12}

6 0
4 years ago
I don't understand how to answer this​
IgorLugansk [536]

Answer:

\large\boxe{D)\ \dfrac{1}{2}\pi\ feet}

Step-by-step explanation:

Step 1:

Calculate the circumference of both circles.

The formula of a circumference:of a circle with radius r:

C=2\pi r

The circle R:

C_R=2\pi\left(\dfrac{2}{3}\right)=\dfrac{4\pi}{3}\ ft

The circle S:

C_S=2\pi\left(\dfrac{3}{4}\right)=\dfrac{3\pi}{2}\ ft

The length of the intercepted arc for circle R is

l=\dfrac{4\pi}{9}\ ft

Step 2:

Calculate what the part of the circumference of the circle R is the intercepted arc:

\dfrac{4\pi}{9}:\dfrac{4\pi}{3}=\dfrac{4\pi}{9}\cdot\dfrac{3}{4\pi}=\dfrac{1}{3}

The same length of the circumference of the circle S is searched for the length of the intercepted arc for circle S.

Step 3:

Calculate the length of the intercepted arc for circle S:

\dfrac{1}{3}\cdot\dfrac{3\pi}{2}=\dfrac{1}{2}\pi\ ft

4 0
3 years ago
Given a 10 foot length of the tree trunk with a radius of 3 feet what is the tree trunk section if it was a density of 45 lb/ft
mezya [45]

Answer:

0.6

Step-by-step explanation:

7 0
3 years ago
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