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3 years ago

What shape is this

Mathematics

1 answer:

suter [353]3 years ago

4 0

Step-by-step explanation:

blank I don't see a shape

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The gradient of the line segment between the points (2,-3) and (4,-7).

skad [1K]

To find the gradient of a line you use this equation: Rise / Run

I am assuming this is a graph where both the x and y-axis increase in value by one.

So first of all, you should draw out this graph.

Second, draw a point at each of the given coordinates.

Now, join these points by drawing a right angle triangle. Put simply, draw a line from the point (4, -7) down until it is on the same level as the point (2, -3), then draw a line across.

Finally, measure the length of both these sides and use them in the equation above.

Let's assume the rise (vertical line) and the run (horizontal line) are 5 and 8 respectively. We can do 5/8 to get a gradient which is 0.625.

3 0

2 years ago

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Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

likoan [24]

Answer:

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

Step-by-step explanation:

Consider, the given Quadratic equation, $x^2+4=6x$

This can be written as , $x^2-6x+4=0$

We have to solve using quadratic formula,

For a given quadratic equation $ax^2+bx+c=0$ we can find roots using,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ ...........(1)

Where, $\sqrt{b^2-4ac}$ is the discriminant.

Here, a = 1 , b = -6 , c = 4

Substitute in (1) , we get,

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$\Rightarrow x=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot 1 \cdot (4)}}{2 \cdot 1}$

$\Rightarrow x=\frac{6\pm\sqrt{20}}{2}$

$\Rightarrow x=\frac{6\pm 2\sqrt{5}}{2}$

$\Rightarrow x={3\pm \sqrt{5}}$

$\Rightarrow x_1={3+\sqrt{5}}$ and $\Rightarrow x_2={3-\sqrt{5}}$

We know $\sqrt{5}=2.23607$ (approx)

Substitute, we get,

$\Rightarrow x_1={3+2.23607}$ (approx) and $\Rightarrow x_2={3-2.23607}$ (approx)

$\Rightarrow x_1={5.23607}$ (approx) and $\Rightarrow x_2=0.76393}$ (approx)

Thus, the two root of the given quadratic equation $x^2+4=6x$ is 5.24 and 0.76 .

7 0

2 years ago

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The ratio of the ages of two children is 2:3. If the younger child is 4 years old, how old is the other child?

vladimir1956 [14]

So if the ratio is 2:3, then the younger child would represent the 2. so it would be 2:3 is 4:x. Thereby, the answer would be 6, because of proportions. To check, simplify 4:6, and you would get 2:3.

4 0

3 years ago

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How many solutions does this equation have?<br> (15x + 21) / 3<br> = 5x + 7

Lesechka [4]

Answer:

3*(5*x-7)-(15*x-21)=0

Step-by-step explanation:

3 • (5x - 7) - (15x - 21) = 0

Step 2 :

Equation at the end of step 2 :

0 = 0

Step 3 :

Equations which are always true :

7 0

3 years ago

You are given three white balls, one red ball, and two identical boxes. You are asked to distribute the balls in the boxes in

Colt1911 [192]

Put all the white balls in one box and the red ball in the other so you have a 50% chance of winning if you put 1 red ball and a white now you have a 25% chance cause you have a 50% chance in choosing the right box then you have to chose the right ball which would be 50%

5 0

3 years ago

What shape is this ​

What shape is this