All categories

3 years ago

Simplify 12√5 - 7√5 + 8√5 and state whether the simplified form is rational or irrational.

Mathematics

2 answers:

dlinn [17]3 years ago

7 0

Answer:

12 radical 5 - 7radical +8 radical 5

the contents of the radical are the same as each other

12-7+8 radical 5

13 radical 5

I am Lyosha [343]3 years ago

4 0

Answer:

Step-by-step explanation:

12 radical 5 - 7 radical +8 radical 5

the contents of the radical are the same as each other

12-7+8 radical 5

13 radical 5

Hope this helped

You might be interested in

Three consecutive even numbers have a sum where one half of the sum is between 84 and 96

mamaluj [8]

86 *2 = 172

172/3 = 57.33

54 + 56 +58 =168

168/2 =84

56 + 58 +60 = 174

174/2 =87

58 +60 +62 = 180

180/2 = 90

60 +62 +64 = 186

186/2 = 93

62 +64+66 = 192

192/2 = 96

there are 3 sets of numbers that fall between 84 & 96

1 set equals 84 and 1 set equals 96

so if you are counting those there are 5 sets

6 0

3 years ago

Which is the equation in slope-intercept form for the line that passes through (3, 7)

quester [9]

Answer:

$y = - \frac{5}{3} x + 12$

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

$y = \frac{3}{5} x - \frac{8}{5}$

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= $- \frac{5}{3}$

$y = - \frac{5}{3} x + c$

To find the value of c, substitute a coordinate.

When x=3, y=7,

$7 = - \frac{5}{3} (3) + c$

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is $y = - \frac{5}{3} x + 12$ .

6 0

3 years ago

What does W = too please help

dedylja [7]

$-7w+3(w+6)=30\\\\-7w+3w+18=30\\\\-4w+18=30\ \ \ \ \ |subrtact\ 18\ from\ both\ sides\\\\-4w=12\ \ \ \ \ \ |divide\ both\ sides\ by\ (-4)\\\\\boxed{w=-3}$

3 0

3 years ago

Read 2 more answers

If four pounds of potatoes cost $6.00, how much would 10 pounds of potatoes cost.

alexira [117]

Answer:

10 pounds of potatoes would cost $15.

Step-by-step explanation:

Set up proportion.

4/6=10/x

simplify 4/6 into 2/3,

2/3=10/x

cross product,

2*x=3*10

2x=30

x=30/2

x=15

3 0

3 years ago

Read 2 more answers

Please help. I’ll mark you as brainliest if correct!

erica [24]

Step-by-step explanation:

Nicole starts with the budget:

$395

Now, she only expects to pay half the deposit;

$72 ÷ 2 = $36

Subtract this from the budget:

$395 - $36 = $359

Divide by cost per hour:

$359 ÷ $60 = 5.983333... (3 repeating)

This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be

$x \leqslant 5$

5 0

3 years ago