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3 years ago

Determine the image of the point (-5, 2) under a rotation of 90° about the origin.

Mathematics

1 answer:

8_murik_8 [283]3 years ago

5 0

Answer:

(2, 5)

Step-by-step explanation:

Rotation clockwise 90° can be accomplished by the transformation ...

(x, y) ⇒ (y, -x)

(-5, 2) ⇒ (2, 5)

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Please help me I will choose brailiest

koban [17]

Answer:

similar; RYL by SAS similarity

Step-by-step explanation:

Side RL Is congruent to side RH and side RY is congruent to side RA by a scale factor of 3.5. and we know thank angles LRY and HRA are congruent by the reflexive property. So the two triangles are congruent by Side-Angle-Side similarity.

5 0

2 years ago

What is 10 to the negative 6th power?

Ivanshal [37]

Answer:

0.000001

Step-by-step explanation:

It is because 10 is represented as just like 10 and then in a certain place. And then the negative means it is to the right of the decimal. 6th power means the 6th place. So, basically it means, 10 in the 6th to the right place which is 0.0000010. You do not need the last zero because there is no value after that, so 0.000001.

Sorry if I am wrong! Can I be brainlieest? TYSM

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3 years ago

(0,-4),(1,0),(2,2) find a quadratic function in standard form for each set of points.

Sphinxa [80]

We are given the points
(0,-4),(1,0),(2,2)
The standard form a quadratic function (in terms of x) is
y = Ax2 + Bx + C
Subsitute the points
-4 = 0 + 0 + C
C = -4

0 = A + B - 4

2 = 4A + 2B - 4

Solve for A and B
A = -1
B = 5

The function is
y = -x2 + 5x - 4

4 0

3 years ago

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different

Bas_tet [7]

Answer:

360 combinations

Step-by-step explanation:

To calculate the number of different combinations of 2 different flavors, 1 topping, and 1 cone, we are going to use the rule of multiplication as:

6 * 5 * 4 * 3 = 360

1st flavor 2nd flavor topping cone

Because first, we have 6 possible options for the flavor, then we only have 5 possible options for the 2nd flavor. Then, we have 4 options for the topping and finally, we have 3 options for the cone.

It means that there are 360 different combinations of two different flavors, one topping, and one cone are possible

6 0

3 years ago