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4 years ago

How do you do this problem?i

Mathematics

1 answer:

Mkey [24]4 years ago

5 0

I'll solve B, and then challenge you to do A and C on your own!

If the line passes through (-3,4) and (5, -4), then the slope is the change in y over the change in x, which is (4-(-4))/(-3-5)=8/-8=-1 in this scenario, meaning that in the equation y=mx+b (with m as the slope), we have y=-x+b so far.Note that we only have to find b, as y and x can stay as variables. Plugging (-3,4) in for y and x (to find B), we get 4=-(-3)+b=3+b. Subtracting 3 from both sides, we get b=1 and the equation being y=-x+1

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Which graph represents the piecewise-defined function?

soldier1979 [14.2K]

Answer:

it can be a pain when nobody helps... ur top right is correct

Step-by-step explanation:

heres a screenshot ..

7 0

4 years ago

Read 2 more answers

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mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

This table shows values that represent an exponential function.

Sati [7]

Answer:

y=21

Step-by-step explanation:

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3 years ago

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

Leona [35]

Expression of y from second equation:
3x + y = -17
y = -17 - 3x (1)

Now we substitute this y in first equation:
2x - 7(-17 - 3x) = 4
2x + 119 + 21x = 4
23x = -115
x = -5

now we express value of x in equation (1)
y = -17 - 3*(-5) = -2

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3 years ago

What is a rational number

Hoochie [10]

A rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator

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4 years ago