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4vir4ik [10]
4 years ago
15

Assessment items Two triangles, both different shades of blue, labeled Figure 1 and Figure 2. One triangle overlaps the other. A

graph with two triangles on it. One triangle is formed between points A begin ordered pair negative 4 comma 1 end ordered pair, B begin ordered pair negative 6 comma 5 end ordered pair, and C begin ordered pair negative 1 comma 2 end ordered pair. The other triangle is formed between points D begin ordered pair negative 3 comma negative 3 end ordered pair, E begin ordered pair negative 5 comma negative 6 end ordered pair, and F begin ordered pair 0 comma negative 3 end ordered pair. A graph with two triangles on it. One triangle, A, is formed between coordinates begin ordered pair -2, 0 end ordered pair, begin ordered pair -5, 2 end ordered pair, and begin ordered pair -2, 3 end ordered pair. The other triangle, A1, is formed between coordinates begin ordered pair 2, 0 end ordered pair, begin ordered pair 5, 2 end ordered pair, and begin ordered pair 2, 3 end ordered pair. A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair Three line segments. Segment PQ is two centimeters, segment AB is one point five centimeters, and segment MN is three centimeters. A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) . Select the phrase from the drop-down menu to correctly describe the translation. The square was translated Choose...2 units down 10 units down 10 units to the left 2 units to the left.
Mathematics
1 answer:
AURORKA [14]4 years ago
3 0
The square was translated 2 units down.

_____
Information related to triangles and line segments appears to have no relevance to any question asked here.
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Samantha conjectures that for x < -1, it is true that x5 - 2 > x. Is her conjecture correct? Why or why not?
Ronch [10]

Answer:

  The conjecture cannot work for any negative numbers, It works for x > 1.3.

Step-by-step explanation:

An odd power preserves the sign. For |x| > 1, the power increases the magnitude. For x < 0, adding -2 only increases the magnitude more. A negative number of larger magnitude will not be "greater than" the reference. It will be "less than."

It only takes a counterexample to show the conjecture is incorrect.

  x^5 -2 ?? x

  (-2)^5 -2 ?? (-2)

  -32 -2 ?? -2

  -34 < -2 . . . . . . not greater than

4 0
4 years ago
Leon is using an area model to multiply 38×14. First, he makes a rectangle that is 38 units long and 14 units tall. Then, he bre
Mekhanik [1.2K]

Answer:

300, 120, 80 and 32 respectively.

Step-by-step explanation:

To break it down for easy multiplication, write

38 as 30 + 8

14 as 10 + 4

Now let's multiply

(30 + 8)(10 + 4) = 300 + 120 + 80 + 32

So the areas of each part would be

300, 120, 80 and 32 respectively.

8 0
3 years ago
You plan to rent a car from XYZ Car Rental Company for a flat rate of $35 a
vagabundo [1.1K]

Answer:

The piece-wise function is;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

Step-by-step explanation:

The flat rate for renting the car = $35 per day

The amount charged as insurance fee per day for renting the car for 3 days or less = $10

The insurance fee charged per day when the car is rented for more than 3 days = $5

Let the number of days = x

Therefore, we have;

For x ≤ 3, f(x) = 35 × x + 10 × x = x × (35+10) = 45·x

For x > 3, f(x) = 35 × x + 5 × x = x × (35+5) = 40·x

Therefore;

The charge rate for renting the car for less than or equal to 3 days = 45·x

The charge rate for renting the car for more than 3 days = 40·x

The piece-wise function can be presented as follows;

f\left (x  \right ) = \begin{cases} \$ 45 \times  x & \text{ if } x \leq 3  \ days \\ \$40 \times x & \text{ if } x > 3 \ days\end{cases}

3 0
3 years ago
your sister can get $30 per day for selling clothes at the market. but she has to $60 at first for renting a stand. you can get
ella [17]
Day Sis you
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8 0
3 years ago
Read 2 more answers
Through: (-2, -1), slope = 3
DanielleElmas [232]

Answer:

y =3x + 5

Step-by-step explanation:

The slope intercept form of an equation is expressed as;

y = mx+c

m is the slope

c is the intercept

Get the intercept

Substitute m = 3 and (-2,-1) into y = mx+c

-1 = 3(-2)+c

-1 = -6 + c

c = -1+6

c = 5

Get the equation.

Recall that y = mx+c

y =3x + 5

This gives the required equation

3 0
3 years ago
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