IS IT 45 degrees?????

Determine the slope of the line passing through the points (5,6) and (-5,-1)m=____

EleoNora [17]

GIVEN:

We are given two points on a line and these are;

$A=(5,6),\text{ }B=(-5,-1)$

Required;

We are required to determine the slope of the line passing through these points.

Step-by-step solution;

The slope of a line is given by the formula;

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

The variables are;

$\begin{gathered} (x_1,y_1)=(5,6) \\ \\ (x_2,y_2)=(-5,-1) \end{gathered}$

We can now substitute these into the formula and then simplify;

$\begin{gathered} m=\frac{-1-6}{-5-5} \\ \\ m=\frac{-7}{-10} \\ \\ m=\frac{7}{10} \end{gathered}$

ANSWER:

The slope of the line passing through the given points is;

$m=\frac{7}{10}$

6 0

9 months ago

The fence around anne's garden forms a right triangle. the length of one leg is 5 meters, and the hypotenuse is 13 meters. what

Roman55 [17]

The length of the other section is 12

5 0

3 years ago

Read 2 more answers

A pair of jeans was 30% off the original price. The sale resulted in a $24 discount.

Natalija [7]

Answer:

Step-by-step explanation:

We must consider the price of the Jeans as whole since it represents the full price of the jeans. The discount might be a limited only offer and does not represent the fullest price of the jeans.

To find the original price of the jeans we have two methods that in the end are going to lead to the same conclusion. The long method is to represent mathematically the information presented. Conceptually, we could interpret the statement saying that the original price minus 30% of the original price is equal to the original price minus the discount. Let us say the Original Price (OP)=x. then, mathematically we represent the statement as:

$x -0,3*x = x -24$

What we need to do now is to isolate x on one side of the equation. We have x as a common factor, so:

$x*(1-0,3)=x-24 \rightarrow 24+x*0,7=x$

$24=x-0,7*x \rightarrow 24 = x*(1-0,7)$

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

This one is the original price of the jeans: $80. There is a shortcut to this method, though. We know two things that are fundamental: the discount sale is $24 and the jeans are 30% off. These statements provide the same information; thus we can match them and say that:

$24 = 0,3*x \rightarrow 24/0,3 =x \rightarrow x=80$

And we find ourselves on the same conclusion.

Have a wonderful day :D

8 0

3 years ago

If a 5 foot post casts an 8 foot shadow at the same time that a nearby tree casts a 48 foot shadow how tall is the tree

andriy [413]

The first thing we are going to assume for this case is that the tree and the post are located in the same place.
From that place, both cast a shadow in the same direction.
We then have two similar triangles.
Therefore, we have the following relationship:
$\frac{x}{48} = \frac{5}{8}$
From here, we clear the value of x.
We have then:
$x = \frac{5}{8} *48$
Rewriting:
$x=30$
Answer:
the tree is 30 feet tall

3 0

2 years ago

boyakko [2]

Answer:

Example: these two triangles are similar: If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°. So AA could also be called AAA (because when two angles are equal, all three angles must be equal)

5 0

3 years ago