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3 years ago

Whats 30 divided by 6/7

Mathematics

2 answers:

Andre45 [30]3 years ago

6 0

$30:\frac{6}{7}=30\cdot\frac{7}{6}=5\cdot7=35$

Ivenika [448]3 years ago

3 0

$\boxed{\frac{30}{\frac{6}{7}}=30*\frac{7}{6}=\frac{210}{6}=35}$

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What is an equation for the linear function whose graph contains the points (−1, −2) and (3, 10) ? Enter your answers in the box

RideAnS [48]

There are two ways to equate a straight line. We first have y=mx+b. Then, we have (y-y₁)=m(x-x₁). Both work fine and have similar variables, but the numbers are mixed around a bit. Your equation clearly shows the second form of equation. As our equation has x-x₁ on the right, we can notice that x+1 must mimic that, so x+1=(x-x₁). As x-(-1)=x+1, we can only assume that x is -1. Looking at the points given to us, y must be -2, so we have y-(-2)=y+2, so 2 fills in the leftmost open box. To find the slope, or m, we must take

$\frac{(y_{1} -y_{2})}{(x_{1} -x_{2})}$ from points (x₁, y₁) and (x₂, y₂). It doesn't matter which point is (x₁, y₁) , but it matters that the y₁ corresponds to the x₁. Thus, we have our slope as $\frac{-2-10}{-1-3} =\frac{-12}{-4} =3$

Feel free to ask further questions, and Happy Halloween!

5 0

3 years ago

Read 2 more answers

Which statement is true about the factorization of 30 ex 2+40 XY +51y2

forsale [732]

The statement that is true about the factorization of 30x2 + 40xy + 50y2 is that <span>The factorization of the polynomial is 10(3x2 + 4xy + 5y2).</span>

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3 years ago

If 70% is £14 what is the full price

Veseljchak [2.6K]

70℅ = 14
100 = X

70X = 1400

X = 1400/70

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3 years ago

Ariel was told the x intercept and the y intercept of a line with a positive slope. Yet, it was impossible for Ariel to find the

alexdok [17]

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y = m x + b

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<span>There is no slope</span>

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3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : $R_{90} (x,y)=(-y,x)$

5. Rotation of 180° : $R_{180} (x,y)=(-x,-y)$ .

6. Rotation of 270° : $R_{180} (x,y)=(y,-x)$ .

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is $R_{90} (x,y)=(-y,x)$ .

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is $R_{180} (x,y)=(-x,-y)$ .

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is $R_{180} (x,y)=(y,-x)$ .

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3 years ago