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3 years ago

2. Given: 2(x– 9) = -10; Prove: X= 4 What are the reasons

Mathematics

1 answer:

Mazyrski [523]3 years ago

7 0

Answer:

true

Step-by-step explanation:

If u put 4 into x's place in the equation it equals 10

2(4-9) =-10

2(-5) = -10

negative times a positive is always a negative

PEMDAS

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Use the figure below to answer the questions.

Archy [21]

Answer:

a. What is the name of the 3D shape?

The name of the 3D shape is Prism

b. What is the formula for total surface area for this shape?

Total surface area:

$S=2A_{b}+P_{b}h$

c. What is the surface area of the figure?

The surface area of the figure is 144 cm²

Step-by-step explanation:

a. What is the name of the 3D shape?

The 3D shape has two congruent and parallel faces (triangles) and the other faces are parallelograms, then the 3D shape is a prism

b. What is the formula for total surface area for this shape?

Total Surface area:

$S=2A_{b}+P_{b}h$

where:

Area of the base of the prism: Ab

Perimeter of the base: Pb

Height of the prism: h

c. What is the surface area of the figure?

The base of the prism is a triangle. Then to calculate the area of the base, we must use the formula to calculate the area of a triangle:

$A_{b}=\frac{bh}{2}\\ A_{b}=\frac{(4 cm)(3 cm)}{2}\\ A_{b}=\frac{12cm^{2} }{2}\\ A_{b}=6cm^{2}$

The perimeter of the base is the perimeter of the triangle, equal to the sum of the sides of the triangle:

$P_{b}=4cm+3cm+5cm\\ P_{b}=12cm$

h: Height of the prism is the distance between the bases of the prism (the triangle), then h=11 cm

Then, replacing in the formula the known values:

$S=2(6 cm^{2})+(12 cm)(11 cm)\\ S=12 cm^{2}+132 cm^{2}\\ S=144 cm^{2}$

8 0

3 years ago

Phil can afford $200 a month for 5 years for a car loan. if the interest rate is 7.5 percent, how much can he afford to borrow t

madreJ [45]

200 per month for 5 years = 12,000
Phil can (at most) pay 12,000 for the car loan.
That would be the payment total.
So, how do we solve for the PRINCIPAL?
Looking at the attached formula, we see the
principal = Total - Total * ((1 +r)^-n) / r * n
where n = # of payments = 5 year * 12 months = 60 and
rate / 1.200 = 7.5/1,200 = .00625

principal = [12,000 - 12,000 * (1.00625)^-60] / .375
principal = [12,000 - 12,000 * 0.6880918239 ] / .375
principal = [12,000 - 8,257.1018863488] / .375
principal = 3,742.90 / .375
principal = 9,981.06

Source:
http://www.1728.org/loanfrm4.htm

6 0

3 years ago

Read 2 more answers

Find the equation of the line that passes through the two points (5,-3) and (-5,2). Write your answer in standard form. Help me

lidiya [134]

Answer:

x + 2y = -1

Step-by-step explanation:

First, we'll find the slope.

Slope = (2 - (-3)) / (-5 - 5) = 5 / -10 = -1/2

Since we know the slope and a point that belongs to the line, we can write this in point-slope form which will be:

y - 2 = -1/2(x - (-5)) *I used (-5, 2) but it doesn't matter which point you use

y = -1/2(x + 5) + 2

y = -1/2x - 1/2

Standard form:

1/2x + y = -1/2

x + 2y = -1

8 0

2 years ago

Classify the real number. <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B15%7D%20" id="TexFormula1" title=" \sqrt{15} " alt="

lilavasa [31]

Answer:

<h2>Irrational </h2>

Step-by-step explanation:

Firstly, 

According to rational and irrational,

$\sqrt{15} \: is \: irrational$

Since,

Natural numbers, Whole Numbers and Integers all come under Rational number.

Hence,

 $\sqrt{15}$ 

Is an irrational number. 

5 0

3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 x – 2 and y = 2x – 2? (–2, 0) and (0, 1) (0, –2) and

Marysya12 [62]

The solution to the system of equation are (0, -2) and (1, 0)

<h3>Solution to system of equations</h3>

System of equations are equations that has unknown and more than 1 equations.

Given the system of equations

y = x^2 + x – 2

y = 2x – 2

Equate both expressions

x^2 + x -2 = 2x - 2
x^2 - x = 0
x(x-1) = 0
x = 0 and x - 1 = 0
x = 0 and 1

If x = 0

y = 0 - 2 = -2

If x = 1

y = 2 - 2 = 0
Hence the solution to the system of equation are (0, -2) and (1, 0)

Learn more on system of equation here: brainly.com/question/13729904

#SPJ4

7 0

2 years ago