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weqwewe [10]
3 years ago
8

What is the image of (2,3)(2,3) after a reflection over the line y=-xy=−x?

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Answer:

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

Step-by-step explanation:

When a given point is reflected over a line the point only changes place but the distance between the point and the line remains same.

Let (x,y) be a point on the plane

and

y = -x be a line on the plane

When a point is reflected over a line y = -x , the coordinates of the point are exchanged which means x becomes y and y becomes x and both are negated

So (x,y) will become (-y,-x)

Given point is:

(2,3)

After the reflection over the line  y = -x, the image of the point is: (-3,-2)

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0 A maker of a certain brand of low-fat cereal bars claims that the average saturated fat content is 0.5 gram. In a random sampl
balandron [24]

Answer:

<em>The first step is to determine the average </em>

x= \frac{0,6+0,7+ 0,7+0,3+0,4+ 0,5+ 0,4 +0,2}{8}\\\ x= 0,475

<em>The exercise says it’s a normal distribution: (n=8)</em>

s^{2}= \frac{1}{n-1} ((0,6.x)^2+2(0,7-x)^2+(0.3-x)^2+2(0.4-x)^2+(0.5-x)^2+(0.2-x)^2)\\\ \frac{1}{7}*0,235 = 0,0336 \\\\ s= 0183

<em>According to the exercise, the mean is equal to 0,5 then the value of t of the distribution can be obtained </em>

<em />

t= \frac{x-u}{\frac{s}{\sqrt{n} }}\\\ t= \frac{0,475 - 0,5}{0,183}\\\  t= -0,3860

<em>The variable t has 7 grade to liberty, we calculate the p-value as: </em>

2* P(t < - 0,3860)= \\\ 2* 0,3554 = 0,7108

This value is very high, therefore the hypothesis is not rejected

7 0
3 years ago
the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min
il63 [147K]

Answer:

The quotient of the rational function is 3 -\frac{1}{x+2}.

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) \frac{3\cdot x + 5}{x+2} Given

2) \frac{(3\cdot x + 5) + 0}{x + 2} Modulative property

3) \frac{(3\cdot x +5) + [1+(-1)]}{x+2} Existence of additive inverse/Associative property

4) \frac{(3\cdot x + 6)+(-1)}{x+2} Definition of addition/Commutative and associative properties

5) \frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)   \frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}/ \frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}/Distributive property

6) 3 -\frac{1}{x+2} Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is 3 -\frac{1}{x+2}.

5 0
3 years ago
What is the answer to -1.716 but in a fraction or mixed number form
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Answer:

-1 179/250

Step-by-step explanation:

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Step-by-step explanation:

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