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3 years ago

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A rectangle with the vertices (3, -2), (3, -4), (7, -2), (7, -4) is reflected across the x-axis and the rotated 90 degrees count

er clockwise

1 answer:

irga5000 [103]3 years ago

4 0

Answer:

The new vertices are: $(-2,3),(-4,3),(-2,7),(-4,7)$

Step-by-step explanation:

The given vertices are $(3,-2),(3,-4),(7,-2),(7,-4)$

Rule for reflection about x axis is $(x,y)$ → $(x,-y)$ .

So, $(3,-2)$ → $(3,2)$

$(3,-4)$ → $(3,4)$

$(7,-2)$ → $(7,2)$

$(7,-4)$ → $(7,4)$

Now, new vertices after reflection about x axis are $(3,2),(3,4),(7,2),(7,4)$ .

Rule for 90 degree rotation counter-clockwise is $(x,y)$ → $(-y,x)$ .

So, $(3,2)$ → $(-2,3)$

$(3,4)$ → $(-4,3)$

$(7,2)$ → $(-2,7)$

$(7,4)$ → $(-4,7)$

Therefore, the new rectangle after reflection about x axis and rotated 90 degrees counter-clockwise has the following vertices:

$(-2,3),(-4,3),(-2,7),(-4,7)$

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I need help please!

kirill115 [55]

Answer:

0.0466

Step-by-step explanation:

For a random variable X which follows a binomial distribution:

$n = 7\\p = 0.35$

Thus,

$P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466$

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3 years ago

Franco's Pizza is selling their pizzas 35% cheaper than usual if a pizza normally cost $12 how much is it now

avanturin [10]

Answer:

New or current cost = 12 - 4.2 = $7.8

Step-by-step explanation:

Franco's Pizza is selling their pizzas 35% cheaper than usual. This is a discount on the normal cost. To get the amount it costs now, we will find the percentage of the discount on the original cost and subtract what we get from the original cost.

Discount = 35℅

Original cost of pizza is $12 (if a pizza normally cost $12).

So the discount in terms of dollars

= ℅ discount / 100 × normal cost of pizza

= 35 / 100 × 12 =0.35 × 12 = $4.2

New or current cost of pizza would be normal or original cost - the discount in dollars.

New or current cost = 12 - 4.2 = $7.8

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3 years ago

At a basketball game, a team made 53 successful shots. They were a combination of 1- and 2-point

forsale [732]

Answer:

35 two pointers, 18 one pointers

Step-by-step explanation:

equations:

x + y = 53

x + 2y = 88

solving them:

y = 35

x = 18

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3 years ago

the\ function\ h\left(x\right)=\frac{1}{2}\left(x+3\right)^{2}+2.How\ is\ the\ graph\ of\ h\left(x\right)\ t\ r\ a\ nslated\ \ f

Feliz [49]

The function h(x) is vertically stretched by a factor of $\frac{1}{2}$ and is shifted 3 units to the left and shifted 2 units up.

Explanation:

The parent function is $f(x)=x^{2}$

The translated function is $h(x)=\frac{1}{2}(x+3)^{2}+2$

By using the function transformation rules, the translated function h(x) is stretched vertically by a factor of $\frac{1}{2}$

Also, from the function transformation rules, we know that, $f(x+b)$ shifts the function b units to the left.

Thus, the translated function h(x) is shifted 3 units to the left.

By using the function transformation rules, we know that, $f(x)+b$ shifts the function b units upward.

Thus, the translated function h(x) is shifted 2 units upwards.

Thus, the translated function h(x) is vertically stretched by a factor of $\frac{1}{2}$ and is shifted 3 units to the left and shifted 2 units up.

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4 years ago

Y=5(0.25)^x is it exponetial decay

strojnjashka [21]

Answer:

Yes

Step-by-step explanation:

Since the exponent is in front of the DECIMAL instead of the five, it is exponential decay because decimals with exponents make the numbers smaller and smaller

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3 years ago