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4 years ago

Suppose Rm (3,-4)=(1,1) and Rn (1,1)=(-5,16) Is m || n? Explain.

1 answer:

4 0

To determine if the given pair of lines are parallel, we are to calculate first for their slopes through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Rm (3, -4) and (1,1)
m = (1 --4) / (1 - 3) = -5/2
Rn (1,1) and (-5,16)
m = (16 - 1) / (-5 -1) = -5/2
Since the lines have the same slope, then they are parallel. The answer is true.

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What is the simplest form of

ASHA 777 [7]

Step-by-step explanation:

step 1. the cube root is also to the 1/3 power

step 2. (27a^3b^7)^(1/3) = (3*3*3*a*a*a*b*b*b*b*b*b*b)^(1/3)

step 3. a third root: 3 factors in the root comes "out" of the root as 1

step 4. 3ab*b(b)^(1/3) = 3ab^2(b)^(1/3).

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3 years ago

High grade steel consists of 85% iron and 15% magnese. Low grade steel consists of 67% iron and 33% mag ese. NASA orders 500 ton

Mamont248 [21]

Answer:

$361\dfrac{1}{9}$ tons of high steel and $138\dfrac{8}{9}$ tons of low steel

Step-by-step explanation:

Let x be the number of tons of high grade steel and y be the number of tons ow low grade steel needed.

In x tons of high grade steel there are

$0.85x$ tons of iron

$0.15x$ tons of magnese

In y tons of low grade steel there are

$0.67y$ tons of iron

$0.33y$ tons of magnese

NASA orders 500 tons of steel, so

$x+y=500$

and specifies that it must be in the proportion 80% iron and 20% magnese, so

$0.85x+0.67y=500\cdot 0.8\\ \\0.85x+0.67y=400$

From the first equation,

$x=500-y$

Substitute it into the second equation:

$0.85(500-y)+0.67y=400\\ \\425-0.85y+0.67y=400\\ \\-0.18y=-25\\ \\y=\dfrac{2,500}{18}=138\dfrac{8}{9}\ tons\\ \\x=361\dfrac{1}{9}\ tons$

7 0

4 years ago

Which expression could be used to determine the area of the square? A square has side lengths of 10.75 meters. (2)(10.75) (4)(10

kolezko [41]

Answer:

Step-by-step explanation:

area of square=10.75² m²

or A=(10.75)(10.75) m²

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3 years ago

Joey went to a toy show at the local community center. He bought action figures and trading cards. He spent a total amount of $3

GuDViN [60]

$34.04 - $4.22 = $29.82
$29.82 ÷ 6 = A

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3 years ago

Supervisor a earns a flat rate of $25 per hour, while supervisor b earns $20 per hour for the first 30 hours and then 50% more f

mixas84 [53]

Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.

5 0

4 years ago