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1 year ago

find the slope of the line containing the points (-1,6) and (3,5) put final.answer in slope-intercept form

Mathematics

1 answer:

Ugo [173]1 year ago

3 0

Given the points (-1,6) and (3,5).

The formula to find the slope is

$m=\frac{y_2-y_1_{}}{x_2-x_1}$

Take

$x_1=-1,y_1=6,x_2=3,y_2=5$

Plug the values into the formula and find the slope.

$\begin{gathered} m=\frac{5-6}{3-(-1)} \\ =\frac{-1}{4} \end{gathered}$

The slope-intercept form is y = mx+b.

Plug the value of m.

$y=-\frac{1}{4}x+b$

ThusConsider the point (-1,6). Substitute -1 for x and for y into the equation.

$\begin{gathered} 6=-\frac{1}{4}(-1)+b \\ =\frac{1}{4}+b \\ b=6-\frac{1}{4} \\ =\frac{23}{4} \end{gathered}$

Thus, the equation of the line in slope intercept form is

$y=-\frac{1}{4}x+\frac{23}{4}$

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What is the perimeter of the figure

Elanso [62]

Answer:

Perimeter of the figure $=230.66feet$

Step-by-step explanation:

Perimeter of a figure is the sum of all of its sides.

The given figure has all its sides in mixed fraction:

Making the sides in proper fraction:

$60\frac{5}{6} feet$ $=\frac{(60*6)+5}{6}=\frac{365}{6} feet$ = $60.83feet$

$59\frac{1}{3} feet$ $=\frac{(59*3)+1}{3}feet$ $=\frac{178}{3} feet$ $=59.33feet$

$56\frac{1}{6}feet$ $=\frac{(56*6)+1}{6}= \frac{337}{6}feet$ $=56.17feet\\$

$54\frac{1}{3} feet$ $=\frac{(54*3)+1}{3}=\frac{163}{3} feet$ $=54.33feet$

Adding all the Sides to find the perimeter:

$=60.83+59.33+56.17+54.33\\\\=230.66feet$

The perimeter of the figure $=230.66feet$

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3 years ago

The height of a triangle is 8 yd longer than the base x. The area is 192 yd?

sineoko [7]

Answer:

192 = (x^2 + 8x)/2

Step-by-step explanation:

we know the base is x and the height is x+8.

Area of the triangle is 1/2 bh.

we know h and x

if we take area to be 192, we can write the area to be;

1/2 x(x+8) =A

$192 =\frac{x^{2}+8x }{2}\\$

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3 years ago

Read 2 more answers

The legth of a rectangle is 15 inches less then twice its width, w. If the perimeter of the rectangle is 96 inches what is the l

KATRIN_1 [288]

Answer:

length of the rectangle=27"

Step-by-step explanation:

length be = l; width be = b

2b-15= l

perimeter= 2(l+b)

=2(2b-15+b)=96

=2(3b-15) =96

3b-15 .=48

3b=48+15=63

b=21. Therefore l = (2 x 21) - 15=42-15 =27"

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3 years ago

40 POINTS TO WHO EVER CAN ANSWER THIS!!!!!

ollegr [7]

Answer:

y = 2.5(x + 2)^2 - 3

The answer is A

Step-by-step explanation:

The general equation for the vertex is

y = a (x + b)^2 + c

a we are not certain about

b = 2

c = - 3

y = a(x + 2)^2 - 3 Now we have to solve for a.

a is found by using the one point we know (0,7) It means when x = 0 y = 7 so just put those two numbers in.

7 = a(0 - 2)^2 - 3

7 = a (- 2)^2 - 3 Add 3 to both sides.

7 + 3 = a(4) Combine 7 and 3

10 = 4a Divide by 4

10/4 = a Do the actual division

2.5 = a

Answer: See above

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3 years ago

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A flowerbed is to be 3m longer than its width.the flowerbed will have an area of 70m²

melomori [17]

ANSWER
Yes, it is a quadratic equation which is x² + 3x - 70 = 0

SOLUTION

Area = Length × Width
Let x be the Length, L = x
Length is 3 cm longer than its width, thus, W = x + 3
The Area is equal to 70m², thus, A = 70m²

In Mathematical representation,
A = L × W
70 = (x)(x + 3)
70 = x(x) + x(3)
70 = x² + 3x
0 = x² + 3x - 70

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3 years ago