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3 years ago

The graph of which of the following will be parallel to the graph of y = 2x - 42

Mathematics

2 answers:

Nana76 [90]3 years ago

3 0

The correct answer will be c. Y=-4x+8

Sveta_85 [38]3 years ago

3 0

The correct answer is C. Hope I helped

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Look at the figure if tan x=3/y and cos x =y/z what is the value of sin x?

castortr0y [4]

Recall:

The tan of the measure of an angle is the ratio of the opposite side to the adjacent side to that angle, that is :

$\displaystyle{ \tan x^{\circ}= \frac{opposite\ side}{adjacent \ side}$ .

Since this ratio is 3/y, we denote the opposite side, and adjacent side respectively by 3 and y.

(Technically we should write 3t and yt, but we try our luck as we see y in the second ratio too!)

Similarly, $\displaystyle{\cos x^{\circ}= \frac{adjacent\ side}{hypothenuse}$ .

The adjacent side is already denoted by y, so we denote the length of the hypotenuse by z.

Now the sides of the right triangle are complete.

$\displaystyle{ \sin x^{\circ}= \frac{opposite\ side}{hypotenuse}= \frac{3}{z}$

Answer: A

5 0

3 years ago

Read 2 more answers

1/2x + 1/3y = 7

pashok25 [27]

let's multiply both sides in each equation by the LCD of all fractions in it, thus doing away with the denominator.

$\begin{cases} \cfrac{1}{2}x+\cfrac{1}{3}y&=7\\\\ \cfrac{1}{4}x+\cfrac{2}{3}y&=6 \end{cases}\implies \begin{cases} \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{6}}{6\left( \cfrac{1}{2}x+\cfrac{1}{3}y \right)=6(7)}\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{1}{4}x+\cfrac{2}{3}y\right)=12(6)} \end{cases}\implies \begin{cases} 3x+2y=42\\ 3x+8y=72 \end{cases} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{using elimination}}{ \begin{array}{llll} 3x+2y=42&\times -1\implies &\begin{matrix} -3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-2y=&-42\\ 3x+8y-72 &&~~\begin{matrix} 3x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+8y=&72\\ \cline{3-4}\\ &&~\hfill 6y=&30 \end{array}} \\\\\\ y=\cfrac{30}{6}\implies \blacktriangleright y=5 \blacktriangleleft \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{substituting \underline{y} on the 1st equation}~\hfill }{3x+2(5)=42\implies 3x+10=42}\implies 3x=32 \\\\\\ x=\cfrac{32}{3}\implies \blacktriangleright x=10\frac{2}{3} \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left(10\frac{2}{3}~~,~~5 \right)~\hfill$

7 0

3 years ago

Grade 12 mathematics (√98-√50)²

allsm [11]

Answer:

Step-by-step explanation:

Two different approaches:

Method 1

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore, (√98 - √50)² = (7√2 - 5√2)²

= (2√2)²

= 4 x 2

= 8

Method 2

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98 and b = √50

So (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

= 98 - 2√98√50 + 50

= 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore, 148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

= 148 - 140

= 8

4 0

2 years ago

Geometry homework help Will give brainliest:)

tekilochka [14]

Answer:

180-37=143 degrees

6 0

2 years ago

Read 2 more answers

A spinner of a board game can land on any one of three regionslabeled: A, B, and C. If the probability the spinner lands on B

Veseljchak [2.6K]

Answer:

The probability of the spinner landing on A is 0.1111.

Step-by-step explanation:

The possible outcomes of a board game is that it can lead on any three of the regions, A, B and C.

The probability of all the outcomes of an event sums up to be 1.

$P(E) = P(E_{1})+P(E_{2})+...+P(E_{n})=1$

According to the provided information:

P (B) = 3 P (A)

P (C) = 5 P (A)

Compute the probability of the spinner landing on A as follows:

$P(A)+P(B)+P(C)=1\\P(A)+3P(A)+5P(A)=1\\9P(A)=1\\P(A)=\frac{1}{9}\\=0.111111\\\approx0.1111$

Thus, the probability of the spinner landing on A is 0.1111.

3 0

2 years ago