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Sophie [7]
3 years ago
13

Look at the graph shown:

Mathematics
2 answers:
lidiya [134]3 years ago
5 0

Answer:

y = 3x - 1

Step-by-step explanation:

Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.

The y-intercept is (-1) and the function passes through the point ( 1, 2 ).

Only the function y = 3x -1 matches these conditions.

We can observe the points in the attached graph.

xxMikexx [17]3 years ago
3 0

Answer:

y = 3x − 1

Step-by-step explanation:

I got the answer right on the test

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If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?​
Oduvanchick [21]

\large\underline{\sf{Solution-}}

<u>Given:</u>

\rm \longmapsto x = a \sin \alpha  \cos \beta

\rm \longmapsto y = b \sin \alpha  \sin \beta

\rm \longmapsto z = c\cos \alpha

Therefore:

\rm \longmapsto \dfrac{x}{a}  = \sin \alpha  \cos \beta

\rm \longmapsto \dfrac{y}{b}  = \sin \alpha  \sin \beta

\rm \longmapsto \dfrac{z}{c} = \cos \alpha

Now:

\rm =  \dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }

\rm =  { \sin}^{2} \alpha  \cos^{2}  \beta   +  { \sin}^{2} \alpha  \sin^{2} \beta  +  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha  (\cos^{2}  \beta   +  \sin^{2} \beta  )+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha \cdot1+  { \cos}^{2} \alpha

\rm =  { \sin}^{2} \alpha + { \cos}^{2} \alpha

\rm = 1

<u>Therefore:</u>

\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} +  \dfrac{ {y}^{2} }{ {b}^{2} } +  \dfrac{ {z}^{2} }{ {c}^{2} }  = 1

5 0
3 years ago
.Write a division equation so that it has a solution of -2
Irina18 [472]
Let’s take a random number such as 10, for example as the divisor of the equation.
Let’s take the dividend, or numerator of the fraction be x.
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x/10 = -2
Or, x= -2 x 10
Or, x= -20

Therefore, -20/10 = -2
Ans: The division equation would be -20/10 = -2.
4 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
andre [41]

Answer:

Option A is correct.

Step-by-step explanation:

If Δ YES ∼ Δ NOT, then it means that ΔYES and ΔNOT are similar triangles.

The similar triangles means that all the corresponding angles of the two triangles are same i.e. ∠ Y = ∠ N, ∠ E = ∠ O and ∠ S = ∠ T

Therefore, according to the property of similar triangles we can write that

\frac{NO}{YE} = \frac{OT}{ES}  = \frac{NT}{YS}.

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