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3 years ago

Please help with this problems :) and explain because i don't really get it and having trouble in this lesson

Mathematics

1 answer:

Liula [17]3 years ago

3 0

1. 9^4
2. 6^9
3. n^10
4. (a^3)^8

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Find 3 ordered pairs which are Solutions to the equation 2x - 3y = 12

KonstantinChe [14]

2x-3(0)=12
2x=12
x=6
(6,0)

2(0)-3y=12
-3y=12
y=-4
(0,-4)

2x-3(2)=12
2x-6=12
2x=18
x=9
(9,2)

ANSWERS: (6,0) (0,-4) (9,2)

7 0

3 years ago

Write the equation of a line that is perpendicular to x=3x=3x, equals, 3 and that passes through the point (0,-4)(0,−4)left pare

leva [86]

Answer: $x+3y=12$

Step-by-step explanation:

Slope of two lines that are perpendicular to each other is 1.

If one line is $y=3x$ , then its slope = 3 [by comparing to the linear equation y= mx+c, here m=3]

Let n be the slope of the required line, then

$n\times3=-1\\\\\rightarrow\ n=\dfrac{-1}{3}$

Equation of line with slope n and passers through (a,b) is

$(y-b)=n(x-a)$

Equation of line with slope n= $\dfrac{-1}{3}$ and passes through point ( 0,-4) :

$(y-(-4))=\dfrac{-1}{3}(x-0)\\\\\Rightarrow\ y+4=\dfrac{-1}{3}x\\\\\Rightarrow\ -3(y+4)=x\\\\\Rightarrow-3y-12=x\\\\\Rightarrow x+3y=12$

Hence, Required equation : $x+3y=12$

8 0

3 years ago

clark made a model of his house. his house is 30 1/2 feet long. the dimensions of the model were 1/25 the dimensions of clarks a

balandron [24]

Answer:

1.22 feet, or 1 11/50 ft

Step-by-step explanation:

Find 1/25 th of 30 1/2 feet:

1 61 ft

----- * ---------- = 1.22 feet, or 1 11/50 ft

25 2

The length of the model is 1.22 feet, or 1 11/50 ft

7 0

3 years ago

What is the volume of a right circular cylinder with a radius of 3in and a height of 10in

WARRIOR [948]

Answer:

282.6 inches cubed

Step-by-step explanation:

The volume of the cylinder with radius 3 in and height 10 in is

$V=\pi (3^2)(10)= \pi (9)(10)= 90\pi = 90(3.14) = 282.6 in^3$

7 0

3 years ago

Drag the expression that is the most reasonable measurement for each object.

Luba_88 [7]

Answer:

the firs box goes in the elephant one

Step-by-step explanation:

7 0

2 years ago