HELP!!

Answer ASAP PLZZZ!!!!!!!!!!!!!!!!!!

Akimi4 [234]

It’s the 3rd or 4th one but I positive it’s 4th one

4 0

3 years ago

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PLEASE HELP! 43 POINTS

patriot [66]

Answer:

Brenda's mom needs to buy 96 gallons of punch or 48 quarts

Step-by-step explanation:

5 0

3 years ago

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Two shapes are shown below, one isosceles triangle and one rectangle. The dimensions can be represented by algebraic expressions

liberstina [14]

Answer:

Perimeter of Isosceles Triangle = 16 units

Step-by-step explanation:

Area of rectangle is given by the formula;

Area = 1/2 × base × height

From the diagram, base = 6x - 6 and height = 6x - 8

Thus,Area = 1/2 × (6x - 6) × (6x - 8)

Area = (3x - 3)(6x - 8) = 18x² - 42x + 24

Secondly, area of rectangle is given by;

Area = length x breadth

So, area of rectangle in question = (6x - 9)(3x - 2) = 18x² - 39x + 18

We are told both the area of the triangle and the rectangle are the same, so let's equate both areas;

18x² - 42x + 24 = 18x² - 39x + 18

18x² will cancel out and rearranging, we have;

24 - 18 = 42x - 39x

6 = 3x

x = 6/3

x = 2

Plugging 2 for x for the height and base of the triangle, we have;

base = 6(2) - 6 and height = 6(2) - 8

Base = 6 and height = 4

So,let's find the slant height of the isosceles triangle.

Dividing the base by 2,we have; 6/2 = 3

So,using Pythagoras theorem, let the slant height be h, so we have;

h² = 3² + 4²

h² = 9 + 16

h² = 25

h = √25

h = 5

2 slant sides of isosceles triangle are the same. So perimeter = 5 + 5 + 6 = 16 units

8 0

3 years ago

Write the explicit formula for the sequence below and use it to find the 16th term:

mario62 [17]

Given:

The sequence is:

$6, -24, 96, -384,...$

To find:

The explicit formula for the given sequence and then find the 16th term.

Solution:

We have,

$6, -24, 96, -384,...$

The ratio between two consecutive terms are:

$\dfrac{-24}{6}=-4$

$\dfrac{96}{-24}=-4$

$\dfrac{-384}{96}=-4$

The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio $-4$ .

The explicit formula of a geometric sequence is:

$a_n=ar^{n-1}$

Where, a is the first term and r is the common ratio.

Putting $a=6, r=-4$ in the above formula, we get

$a_n=6(-4)^{n-1}$

We need to find the 16th term. So, put $n=16$ in the above formula.

$a_n=6(-4)^{16-1}$

$a_n=6(-4)^{15}$

$a_n=6(-1073741824)$

$a_n=-6442450944$

Therefore, the explicit formula for the given sequence is $a_n=6(-4)^{n-1}$ and 16th term of the given sequence is $-6.442450944$ .

3 0

3 years ago

What is an equation of the line that passes through point (-4,-6) and is perpendicular to the line 4x+5y=25

expeople1 [14]

Answer:

y = 5x/4 - 1

Step-by-step explanation:

We are asked to find the equation of a line which is perpendicular to 4x + 5y = 25

Step 1: find the slope

4x + 5y = 25

5y = 25 - 4x

5y = -4x + 25

Divide both sides by 5 , to get the value of y

5y/5 =( -4x + 25)/5

y = ( -4x + 25)/5

Following the equation of a line

y = mx + c

Can we separate it

y = -4x/5 + 25/5

y = -4x/5 + 5

Slope m = -4/5

Step 2:

Note: if two lines are perpendicular to the other, both are negative reciprocal of each other

The slope of the line is 5/4

Using the formula of point slope form

y - y_1 = m( x - x_1)

We are provided with a point

( -4 , -6)

x_1 = -4

y_1 = -6

Insert the values

y - (-6) = m ( x - (-4))

y + 6 = m( x + 4)

m = 5/4

y + 6 = 5/4 ( x + 4)

Make y the subject of the formula

y = 5/4(x + 4) - 6

LCM = 4

y =( 5(x + 4) - 24) / 4

Open the bracket

y =( 5x + 20 - 24)/4

y = (5x - 4)/4

Following the equation of the line

y = mx + c

y = 5x / 4 - 4/4

y = 5x/ 4 - 1

Therefore, the equation of the line is

y = 5x/4 - 1

6 0

4 years ago