Find integer pairs for -18?

PLEASEE HELPPPP IVE BEEN WAITING FOR HOURS!!!!!

kozerog [31]

Answer:

The perimeter is $32\sqrt{7}$ cm.

Step-by-step explanation:

Perimeter is found by adding all sides of the triangle together. So, this is what we need to find: $8\sqrt{7}+4\sqrt{63}+6\sqrt{28}$

Only like radicals can be added or subtracted from one another. They'll have the same root number (which seems to be true for this question) as well as the radicand, which is the number/expression under the radical.

Look at the number under the radical: 7, 63, and 28. These numbers all share a factor of 7: 7/7 = 1, 63/7 = 9, 28/7 = 4.

Notice how 9 and 4 are perfect squares, so we can simplify the radicals using this common factor of 7.

$8\sqrt{7}$ remains the same; $4\sqrt{63}=4\sqrt{9(7)} =4(3)\sqrt{7}=12\sqrt{7}$ ; and

$6\sqrt{28}=6\sqrt{4(7)}=6(2)\sqrt{7}=12\sqrt{7}$ . Now they are like radicals and can be added!

$8\sqrt{7}+12\sqrt{7}+12\sqrt{7}=32\sqrt{7}$

3 0

2 years ago

(Will l give 25 points!) Solve the system of linear equations by substitution. -8x + y = 5 and 5x - y = 3

Serggg [28]

Answer:

x = -8/3 and y = -49/3

Step-by-step explanation:

(Step 1) To solve using substitution, you first need to isolate a variable in one of these equations. I chose to isolate "y" in the following equation.

-8x + y = 5 <--- Original equation

y = 5 + 8x <--- Add 8x to both sides

(Step 2) Now, substitute (5 + 8x) for "y" in the second equation.

5x - y = 3 <--- Original equation

5x - (5 + 8x) = 3 <--- Substitute 5 + 8x for "y"

5x - 5 - 8x = 3 <--- Distribute (-) in the parentheses

-3x - 5 = 3 <--- Combine terms with "x"

-3x = 8 <--- Add 5 to both sides

x = -8/3 <--- Divide both sides by -3

(Step 3) Since you know the value of "x", plug it into one of the equations to solve for "y".

y = 5 + 8x <--- Original (rearranged) equation

y = 5 + 8(-8/3) <--- Plug (-8/3) for "x"

y = 5 - 64/3 <--- Multiply

y = 15/3 - 64/3 <--- Convert 5 into a fraction

y = -49/3 <--- Subtract

(Step 3.5) You can check your work by plugging "y" into the other equation to see if the answer for "x" is the same.

5x - y = 3 <--- Original equation

5(-8/3) - y = 3 <--- Plug (-8/3) for "x"

-40/3 - y = 3 <--- Multiply

-40/3 - y = 9/3 <--- Convert 3 into a fraction

-49/3 - y = 0 <--- Subtract both sides by 9/3

-49/3 = y <--- Add both sides by "y"

The value of the system of equations is x = -8/3 and y = -49/3.

6 0

2 years ago

Write an equation of the translation of y=x^3 that has been moved 2 units up, 3 units to the right, and stretched by a factor of

Yuki888 [10]

Y=(4x-3)³+2

To shift the graph to the right 3 units, we subtract 3 before the exponent. To shift it up 2 units, we add 2 to the end. To stretch it by 4, we multiply x by 4 before the exponent.

6 0

3 years ago

About 10% of the human population is left-handed. Suppose a researcher speculates that artists are more likely to be left-handed

nevsk [136]

Answer:

Given the information in the question;

a) The parameter of interest is the population of artists who are left-handed and its is 10% = (10/1000 = 0.10

b) The Null hypothesis and alternative hypothesis are;

H₀ : p = 0.10

H₁ : p > 0.10

c) The sample proportion is calculated as:

p = number of left handed artist / sample size

p = 26 / 200

p = 0.13

d) To find the p-value, The researcher should calculate the probability that the sample proportion would be 0.13 or larger for a sample of size 200 if the population proportion is actually 0.10.

4 0

4 years ago

A collection of nickels, dimes and quarters totals $6.00. If there are 52 coins altogether and twice as many dimes as nickels,

VashaNatasha [74]

D=2n: there are twice as many dimes as nickels.

n+d+q=52: a total of 52 coins, using d from above in this gives you:

n+2n+q=52 combine like terms on left side

3n+q=52 subtract 3n from both sides

q=52-3n

Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:

25q+10d+5n=600 divide all terms by 5

5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:

5(52-3n)+2(2n)+n=120 expanding...

260-15n+4n+n=120 combining like terms

260-10n=120 subtract 260 from both sides

-10n=-140 divide both sides by -10

n=14, since q=52-3n and d=2n

q=(52-3(14))=52-42=10

d=2(14)=28

So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:

q=10, d=28, n=14 (the correct answer is d.)

7 0

4 years ago

Find integer pairs for -18?​

Find integer pairs for -18?