Marta has a bag of 10 orange blocks and 10 purple blocks she selects a block without looking

The point P(6, –1) is translated according to the rule (x, y) → (x – 5, y – 2).

monitta

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

<h3>How to determined a resulting point by translation</h3>

In this question we need to determine the new location of a point by using a translation formula. Translations are rigid transformations in which a point is translated on a Cartesian plane. We have the following formula:

P'(x, y) = P(x, y) + (- 5, - 2) (1)

Where:

P(x, y) - Original point
P'(x, y) - Resulting point

If we know that P(x, y) = (6, - 1), then the resulting point is:

P'(x, y) = (6, - 1) + (- 5, - 2)

P'(x, y) = (1, - 3)

The resulting point by considering that P(x, y) = (6, - 1) and P'(x, y) = P(x, y) + (- 5, - 2) is equal to the coordinates P'(x, y) = (1, - 3). (Right choice: C)

To learn more on translations: brainly.com/question/17152175

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6 0

1 year ago

A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it

umka21 [38]

Answer: $y=-40x+300$

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call $x$ the time in hours and $y$ the traveled distance in miles:

Point 1: $(x_{1},y_{1})=(0,300)$

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: $(x_{2},y_{2})=(3,180)$

Since we are told the car's final position is 180 miles after 3h

Let's find the Slope $m$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=-40$ This is the slope of the line

Now, the equation of the line is:

$y=mx+b$

We already know the slope, now we have to find the intersection point with the y-axis ( $b$ ) with any of the given points. Let's choose Point 1: $(x_{1},y_{1})=(0,300)$

$300=-40(0)+b$

Isolating $b$ :

$b=-300$

Then, the equation of the line is:

$y=-40 x+300$

7 0

3 years ago

Read 2 more answers

Find the first 4 terms in the expansion of ( 1 + x 2 ) 8. Use your answer to find the value of ( 1.01 ) 8

anyanavicka [17]

(1+x^2)^8

=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)

=1+8x^2+28x^4+56x^6+70x^8+....)

For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.

1.01=(1+0.1^2) => x=0.1 in the above expansion

(1.01)^8

=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]

=1+0.08+0.0028+0.000056 (+0.00000070)

=1.082856 (approximately)

7 0

3 years ago

What do you multiply to get 600 as perfect cube

Alla [95]

Answer:

6 is the smallest number by which 600 should be multiplied to make it as a perfect square.

4 0

2 years ago

Read 2 more answers

There is a triangular parking lot at the local mall. The second angle of the triangular parking lot is six more than twice as la

Travka [436]

Answer:

The measure of the three angles are;

The first angle is 62°

The second angle is 28°

The third angle is 90°

Step-by-step explanation:

The given information are;

The shape of the parking lot = Triangular

Let the angles of the triangle be given as follows

First angle = A

Second angle = B

Third angle = C

The given triangle interior angle dimensions are;

A = 6 + 2× B

C = A + B

However, we have;

A + B + C = 180° (Angle sum property for a triangle)

Therefore;

A + B + C = 180° gives;

C + C = 180° (Transitive property)

2·C = 180°

C = 180°/2 = 90°

C = 90°

However, C = A + B therefore;

90° = A + B and, A = 6 + 2 × B, we get;

A + B = 90° (Symmetric property)

6 + 2× B + B = 90° (Substitution property)

6 + 3·B = 90°

3·B = 90° - 6° = 84°

B = 84°/3 = 28°

B = 28°

From, A = 6 + 2 × B, we have;

A = 6 + 2 × 28° = 62°

A = 62°

First angle = A = 62°

Second angle = B = 28°

Third angle = C = 90°

The measure of the three angles are;

First angle is 62°

Second angle is 28°

Third angle is 90°.

8 0

2 years ago