Jack bought 4 umbrellas each costing $17 he bought 6 hats each costing $8 how much did jack spend in all

The area of a triangle is 6.75m2. If the base of the triangle is 3 m, what is the height of the triangle?

mixas84 [53]

Answer is given above

5 0

2 years ago

Write the equation for the line in slope-intercept form.

Elan Coil [88]

Answer:

y = 4x + 3

Step-by-step explanation:

We are given the line shown in your question.

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept

As we are given the graph of the line, we can pick any 2 points to help us find the equation; in this case, let's take (0,3) and (-1, -1).

First, we need to find the slope of the line

The slope (m) can be found using the equation $\frac{y_2-y_1}{x_2-x_1}$ , where $(x_1, y_1)$ and $(x_2, y_2)$ are points

Let's label the values of the points to avoid confusion and mistakes before calculating.

$x_1= 0\\y_1=3\\x_2=-1\\y_2=-1$

Now substitute these values into the equation for the slope

m= $\frac{y_2-y_1}{x_2-x_1}$

m= $\frac{-1-3}{-1-0}$

Subtract

m= $\frac{-4}{-1}$

Divide

m = 4

The slope of the line is 4

Here is the equation of the line so far:

y = 4x + b

Now we need to find b

As stated above, b is the value of y at the y intercept; the y intercept is the point where the line intersects with the y axis. The value of x at this point is 0

One of the points we used to calculate the slope was actually the y intercept point; this point is (0, 3). The value of y at this point is 3, so the value of b is 3

Substitute 3 as b in our equation

y = 4x + 3

Topic: finding the equation of the line

6 0

2 years ago

Points and linr determine thr slope line <br> (1,2) and (2,1)

kotegsom [21]

Slope is (y2-y1)/(x2-x1)

(2-2)/(1-1)

slope is 0 which means it is a horizontal line.

4 0

2 years ago

Write the expression 2a+b in the form of a fraction with the given denominator. Check if the domain of the expression changed. I

Ymorist [56]

Answer:

See below

Step-by-step explanation:

I will assume the given denominator is 3a as there is nothing attached to the statement.

Lets first look at the domain of 2a+b. As it is a polynomial with unknowns a and b, we know it has its domain in all real numbers for both a and b as every polynomial does. For verifying it replace a and b by any real number you can think of.

Domain = a, b belonging to R

Now, if we divide 2a+b by 3a we will have:

(2a+b)/3a

As know we don not have a polynomial we cant state that the domain will still be all the real numbers for sure. We need to go further.

We have a fraction and as every fraction the denominator CAN'T be equal to 0, so 3a MUST be different to 0. This means that a MUST be different to 0. So, now our domain changes:

domain' = a, b belonging to R and a different to 0.

6 0

3 years ago

What is 41 divided by 4

geniusboy [140]

Answer:

10 with a remainder of 1

Step-by-step explanation:

and also, you should use a program like cymath for that. Only use brainly for problems that cant be answered by a website like that.

Good luck!

3 0

2 years ago