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3 years ago

11

Point Z on a coordinate grid is at (-1,3). If the point is reflected across the line y=-x, what are the coordinates of its image

?

1 answer:

Neko [114]3 years ago

4 0

(-3,1)

x,y > -y,-x

Therefore (-1,3) is (-3,1)

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Find the area of a triangle with a base length of 3 units and a height of 4 units.

svetlana [45]

Answer:

$6$ square units

Step-by-step explanation:

The area of a triangle can be calculated by multiplying the triangle's base by its height, and then dividing the result by $2$ . As an algebraic expression, this would be $\frac{bh}{2}$ , where $b$ is the triangle's base and $h$ is the triangle's height. In this case, we know that $b=3$ and $h=4$ . Therefore, the area of this triangle is $\frac{3*4}{2} =\frac{12}{2} =6$ square units. Hope this helps!

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2 years ago

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Vilka [71]

Answer:

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Step-by-step explanation:

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3 years ago

Give the equations of 3 lines that are parallel to the line with the equation y=3x+2

ruslelena [56]

Y= 3x + 1
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2 years ago

A media poll of 500 air travelers surveyed in national airports found that 370 favor tighter security procedures in boarding pla

serg [7]

Answer:

92% Confidence interval: (0.7078,0.7722)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

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$\hat{p} = \dfrac{x}{n} = \dfrac{370}{500} = 0.74$

92% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.08} = \pm 1.645$

Putting the values, we get:

$0.74\pm 1.645(\sqrt{\dfrac{0.74(1-0.74)}{500}}) = 0.74\pm 0.0322\\\\=(0.7078,0.7722)$

3 0

3 years ago

vodomira [7]

<h3>Solution:</h3>

Given, side (a) = x+3
We know, surface area of a cube = 6a^2
Therefore, the surface area of the cube

<h3> </h3><h3> $6(x + 3) ^{2} \\ = 6( {x}^{2} + 6x + 9) \\ = 6 {x}^{2} + 36x + 54$ </h3><h3>Answer:</h3>

The answer is

${6x}^{2} + 36x + 54$

<h3>Hope it helps.</h3>

Sorry for delay

3 0

2 years ago