Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon

Which coordinate divides the directed line segment from −10 at J to 23 at K in the ratio of 2 to 1?

oksano4ka [1.4K]

Answer:

12

Step-by-step explanation:

The difference of the two coordinates is ...

23 -(-10) = 33

The desired coordinate is 2/3 of that length from J, so is ...

J + (2/3)·33 = J +22 = -10 +22 = 12

The desired coordinate is 12.

3 0

4 years ago

What is the answer to a+5a

deff fn [24]

Answer: 6a

Step-by-step explanation:

A + 5A just equals 6A. Let me know if I answered incorrectly or if you want me to clarify.

4 0

4 years ago

Read 2 more answers

Write as an expression and simplify

Alexus [3.1K]

Answer:

Part a) $(2m+7n)(2m-7n)$

Part b) $x^2-16xy+64y^2$

Part c) $216a^3b^6$

Part d) $(a^2-b^2)$

Step-by-step explanation:

Part a) The difference of the squares of 2m and 7n.

we know that

The difference of the squares formula is equal to

$(a^2-b^2)=(a+b)(a-b)$

substitute

$(2m)^2-(7n)^2=(2m+7n)(2m-7n)$

Part b) The square of the difference of x and 8y

The formula of the square of the difference between two numbers is equal to

$(a-b)^2=a^2-2ab+b^2$

substitute

$(x-8y)^2=x^2-2(x)(8y)+(8y)^2=x^2-16xy+64y^2$

Part c) The tripled product of 6a and b^2

we have

$(6ab^{2})(6ab^{2})(6ab^{2})=(6ab^{2})^3=(6^3)(a^3)(b^{2})^3=216a^3b^6$

Part d) The product of the sum of a and b and their difference

The expression is equal to

$(a+b)(a-b)$

The expression represent the difference of the squares between a and b

so

$(a+b)(a-b)=(a^2-b^2)$

7 0

3 years ago

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate

miskamm [114]

There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

90° + 90° = 180°

Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant.

180° + 25° = 205°

The measure of the angle is 205°

3 0

3 years ago

Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at

damaskus [11]

The question is incomplete. Here is the complete question:

Val rented a bicycle while she was on vacation. She paid a flat rental fee of f dollars, plus $8.50 each day. The total cost at the end of her vacation was t dollars. Let d represent the number of days Val rented the bicycle. Write an equation representing the total cost at the end of her vacation.

Answer:

$t=f+8.5d$