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3 years ago

YALL HELP PLEASE THANK U

Mathematics

2 answers:

Alenkinab [10]3 years ago

8 0

Step-by-step explanation:

Given Vertex (5,4) and focus (8,4)

It can be easily noticed that focus and vertex lie on the same horizontal line y = 4

Obviously, the axis of symmetry is a horizontal line ( a line perpendicular to y-axis). Also, the focus lies to the right of the vertex so the parabola will open up rightward.

(y−k)^2=4a(x−h)

a=8-5=3 as y coordinates are the same.

Since the focus lies to the left of vertex, a = 3

(y−4)^2=4⋅3⋅(x−5)

(y−4)^2=12(x−5)

is the equation of the parabola.

Ede4ka [16]3 years ago

4 0

Answer:

I am not getting this question

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The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)

svet-max [94.6K]

Answer:

The smallest integer is -27 and the integers are -27, -26, and -25

Step-by-step explanation:

We can represent this with:

x + x - 1 + x - 2 = -78

Simplify.

3x - 3 = -78

Add 3 to both sides.

3x = -75

Divide both sides by 3.

x = -25

So, the first integer is -25.

Subtract two to get the smallest integer.

-25 - 2 = - 27

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Valentin [98]

Answer:

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Step-by-step explanation:

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3 years ago

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The length of a rectangle is five times it’s width if the area of the rectangle is 320m^2 find its perimeter

BlackZzzverrR [31]

Answer:

Perimeter of the rectangle = 96 meters.

Step-by-step explanation:

Let the width of the rectangle = K

So, the length of the rectangle = 5K

Area = 320 sq meters

Now, Area of a Rectangle = Length x Width

⇒ 320 = K x 5K

or, $5K^{2} = 320\\or, K^{2} = \frac{320}{5} = 64$

So, the vlue of K = 8 or, K = -8

But as K represents a length hence, K ≠ -8

So, the <u>width of the rectangle = 8 meters</u>

and the<u> length of the rectangle = 8 x 5 = 40 meters</u>

Now, Perimeter = 2(length + width)

= 2(8 + 40) = 96 meters.

So, the perimeter of the rectangle = 96 meters.

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3 years ago

#1) Line j contains points (-3,5) and (6,-1). If line p is PERPENDICULAR to linej,

tia_tia [17]

First find slope of line j
(-1-5)/(6+3) = -6/9 = -2/3
Perpendicular = opposite sign and reciprocal slope

Solution: 3/2

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3 years ago

So I have these two assignments and their due in today and 12:00 so if anybody can please give me the answers real quick it woul

LUCKY_DIMON [66]

Answer:

77°, 103°

Step-by-step explanation:

x=103°

z=x=103°
y=180°-x=180°-103°=77°

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∠5= 42°

∠3= 180°-42°=138°

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3 years ago