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3 years ago

Which is the equation of the line? Mid-Unit Test A. 3x + y = 9 B. x – y = 9 C. 3x – y = 9 D. x + 3y = 9

Mathematics

1 answer:

nirvana33 [79]3 years ago

3 0

I think the answer would be D

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Find side x , give your answer 1 decimal place

Vladimir [108]

Given:

Let A denote the angle of the given triangle which measures ∠A = 81°

Let B denote the angle which measures ∠B = 40°

The length of the side a = x.

The length of the side b = 7 cm.

We need to determine the value of x.

Value of x:

The value of x can be determined using the law of sine formula.

Applying the law of sine, we have;

$\frac{sin \ A}{a}=\frac{sin \ B}{b}$

Substituting the values, we have;

$\frac{sin \ 81^{\circ}}{x}=\frac{sin \ 40^{\circ}}{7}$

Simplifying, we get;

$\frac{0.988}{x}=\frac{0.643}{7}$

Cross multiplying, we have;

$0.988 \times 7=0.643 x$

$6.916=0.643x$

$10.8=x$

Thus, the length of the side x is 10.8 cm.

4 0

2 years ago

2 angles of a triangle are the same size. the 3rd is 3 times as large as the 1st

myrzilka [38]

Answer:

36°, 36° and 108°

Step-by-step explanation:

let the equal angles be x then the third angle = 3x

The sum of the 3 angles in a triangle = 180°, thus

x + x + 3x = 180, that is

5x = 180 ( divide both sides by 5 )

x = 36

and 3x = 3 × 36 = 108

The 3 angles are 36°, 36° and 108°

4 0

3 years ago

: Find the slope between the two points given. Then, use the slope and point ONE to write the equation of the line in Point-Slop

Ierofanga [76]

Answer:

slope: $\bold{m=3}$

equation: $\bold{y-2=3(x-1)}$

Step-by-step explanation:

$m=\dfrac{y_2-y_1}{x_2-x_1}\\\\(1,\,2)\ \implies\ x_1=1\,,\ y_1=2\\(0,\,-1)\ \implies\ x_2=0\,,\ y_2=-1\\\\m=\dfrac{-1-2}{0-1}=\dfrac{-3}{-1}=3$

$y-y_1=m(x-x_1)$ - point-slope form of Equation of the Line

$x_1=1\,,\ y_1=2\,,\ m=3\\\\equation:\\{}\qquad\qquad y-2=3(x-1)$

8 0

3 years ago

A Spanish teacher informed her class that she would be giving 4 quizzes each month. Write an equation that shows the relationshi

Free_Kalibri [48]

Answer:

y = 4x

Step-by-step explanation:

Since there are going to be four quizzes a month (x), we know that we will multiply the number of months (x) by the number of quizzes (4). However, because we don't know how many months there are, we can define the months as (x), and instead put the total (y) is equal to the number of quizzes per month (4), multiplied by the number of months (x). Out final result is

(y = 4x)

6 0

2 years ago

Mario is walking away from a motion detector at a rate of 1.5 feet per second. He started recording his distance from the motion

kipiarov [429]

Answer:

6 seconds

Step-by-step explanation:

Initial distance of Mario from motion detector = 2 ft

Speed of Mario = 1.5 ft/sec

Total distance of Mario from motion detector = 11 ft

Total distance moved by Mario while walking at the rate of 1.5 ft/sec = 11 - 2 = 9 ft

Given that:

Distance = 9 ft

Speed = 1.5 ft/sec

Formula:

$Distance = Speed \times Time$

$\Rightarrow 9 =1.5 \times Time\\\Rightarrow Time = \dfrac{9}{1.5}\\\Rightarrow Time = \bold{6\ sec}$

So, at 6 seconds, Mario will be 11 ft from the motion detector.

6 0

3 years ago