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3 years ago

What is the slope of the line through (1, -1)and (5,-7) Choose 1 answer:

Mathematics

2 answers:

Rina8888 [55]3 years ago

8 0

Answer:

Step-by-step explanation:

Subtract the "Y" values from the ordered pairs -1 - (-7)= 6

Subtract the "X" values from the ordered pairs 1-5 = -4

Remember slope is rise over run or y over x so the answer is -6/4 or -3/2 reduced

I always bring my negative to the top after I finish solving

Since you didn't provide the choices your answer is either going to be 3/-2 or -3/2 depending if your teacher makes you bring the negative to the top

nalin [4]3 years ago

3 0

Answer:

-3/2

Step-by-step explanation:

the formula for slope is y1-y2/x1-x2

where

y1 is the first point's y coordinate

x1 is the first point's x coordinate

y2 is the second point's y coordinate

x2 is the second point's y coordinate

so now we can plug our points in

-1-(-7)/1-5

6/-4

simplify

-3/2

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Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 220 feet of f

MrRa [10]

Answer:

6050 square feet

Step-by-step explanation:

Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet

$Y + 2X = 220$

$Y = 220 - 2X$

Area of a rectangle is determined by multiplying the length of perpendicular sides:

$Area = X*Y$

$Area = X(220 - 2X)$

$Area = 220X - 2X^{2}$

The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.

A simple variable can be differentiated using below concept:

$f(a) = a^{b}$

$f'(a) = ba^{b-1}$

Using the above concepts to differentiate Area and calculate X will give:

$Area = 220X - 2X^{2}$

$Area' = 220 - 4X = 0$

$X = 55$

Calculating Y:

$Y = 220 - 2X$

$Y = 220 - 2(55)$

$Y = 110$

Calculating Area:

$Area = X*Y$

$Area = 55*110$

$Area = 6050\sqfeet$

8 0

2 years ago

HELP!! PLEASE A carpenter is framing a window with wood trim where the length of the window is 9 and 1/3 feet. If the width of t

ohaa [14]

We need the perimeter of the window for framing

The window is in the shape of a rectangle with the height of $9 \frac{1}{3}$ feet and width of $6 \frac{3}{4}$ . The diagram of the shape is shown below

The perimeter of a shape is obtained by adding up the length of all the sides that form the shape.

The perimeter of the window is $9 \frac{1}{3}+9 \frac{1}{3}+6 \frac{3}{4}+6 \frac{3}{4}$ = $18 \frac{2}{3}+12 \frac{6}{4}$

We have two whole numbers 18 and 12 and two fractions $\frac{2}{3}$ and $\frac{6}{4}$

Adding the two fractions that have different denominator
$\frac{2}{3}+ \frac{6}{4} = \frac{8}{12}+ \frac{18}{12}= \frac{26}{12}$ , which is an improper fraction which we can change into a mixed number $2 \frac{1}{6}$

So the perimeter of the window is
$18+12+2 \frac{1}{6} =32 \frac{1}{6}$

and the length of wood needed for the frame is $32 \frac{1}{6}$ feet