Sam has a rope that is 38 feet long. He cuts the rope into 2 pieces. One piece is 15 feet long.

EastWind [94]

Answer:

Part A: one solution:

Part B: x = 3, y = 4.

Explanation:

1) Part A: how many solutions does the pair of equations for lines A and B have?

The solution of a system of equations in a graph is given by the intersetion of the curves that represent the equations.

In this case, there are two straight lines, which intersect in one and only one point.

Hence, the system has one solution.

2) Part B: what is the solution to the equations of lines A and B?

The solution is the pair of coordinates of the intersection point. It is (3, 4).

Therefore, the solution is x = 3, y = 4.

8 0

3 years ago

Read 2 more answers

1) work out the value of (1.7x10^4)x (8.5x10^-2) give your answer in standard form.

Mashutka [201]

ANSWER TO QUESTION 1

$(1.7\times 10^4)\times(8.5\times 10^{-2})$

We rewrite to obtain;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=(1.7\times 8.5)\times(10^4\times 10^{-2})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{4+-2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{2}$

We need to rewrite this in standard form;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^1\times10^{2}$

We apply the product law again to get

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{1+2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{3}$

ANSWER TO QUESTION 2

$(6.8\times 10^2)\times(1.3\times 10^{-3})$

We rewrite to obtain;

$(6.8\times 10^2)\times(1.3\times 10^-3)=(6.8\times 1.3)\times(10^2\times 10^{-3})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{2+-3}$

This simplifies to

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{-1}$

This is already in standard form.

8 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Zielflug [23.3K]

Answer:

-5, 5

Step-by-step explanation:

The line in this problem can be written in the form

$y=mx+q$ (1)

where:

$m=\frac{2}{3}$ is the slope

q is the y-intercept

We know that the line passes through the point (-2,5), so substituting these values into eq.(1), we find the value of the y-intercept:

$q=y-mx=5-(\frac{2}{3})(-2)=5+\frac{4}{3}=\frac{19}{3}$

So the equation of the line is

$y=\frac{2}{3}x+\frac{19}{3}$ (2)

Now we know that point A has coordinates

A(x,3)

So by substituting into eq.(2), we find the missing x-coordinate:

$3=\frac{2}{3}x+\frac{19}{3}\\9=2x+19\\x=\frac{9-19}{2}=-5$

Similarly, point B has coordinates

B(-2,y)

so substituting into eq(2), we find the missing y-coordinate:

$y=\frac{2}{3}(-2)+\frac{19}{3}=5$

6 0

3 years ago

PLEASE ANSWER ASAP, 25 points if you answer and will get brainliest if you show all work. <br /><br />If you drive a

amm1812

Answer is x{f2}=x^25

6 0

3 years ago

When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must b

Nastasia [14]

Answer:

there are 120 different sundaes with three toppings you can order.

Step-by-step explanation:

If the chosen toppings must be different, then that means it's a Combination where the order doesn't matter (as long as they're all different).

Equation: 10C3

Forming Equation: 10!/(10-3)!*3!=10*9*8*7!/7!*3!=10*9*8/6=720/6=120

Therefore, there are 120 different sundaes with three toppings you can order.

8 0

3 years ago