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snow_tiger [21]
2 years ago
12

Simplify as far as possible without a calculator.√2(4√7+3√2)

Mathematics
1 answer:
kvv77 [185]2 years ago
7 0

\sqrt{2} (4 \sqrt{7}  +  3\sqrt{2} )

\sqrt{2} (4 \sqrt{7} ) +  \sqrt{2} (3 \sqrt{2} )

4 \sqrt{14}  + 3(2)

4 \sqrt{14}  + 6

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Which is the equation in the slope-intercept form of the line that contains points E & F ?
sesenic [268]

Answer:

y = 4x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = E(4, 4) and (x₂, y₂ ) = F(2, - 4)

m = \frac{-4-4}{2-4} = \frac{-8}{-2} = 4 , then

y = 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 4), then

4 = 16 + c ⇒ c = 4 - 16 = - 12

y = 4x - 12 ← equation of line

3 0
3 years ago
Read 2 more answers
A shop in the mall is 8 yards by 12 yards. How much would it cost to recarpet the shop with carpet that costs $2.69 per square y
valentinak56 [21]

Answer:

Step-by-step explanation:

You will first have to find the area to find the price of each square yard.

Area is 8*12 = 96. Multiply this by 2.69.

It will cost 258.24 dollars to recarpet the shop.

Let me know if this helped

7 0
2 years ago
Read 2 more answers
A² + b² = 7b and b² + (2b-a)² = 7² find (a - b)².
Mamont248 [21]

Answer:

(a - b)^2 = 49 - 4b^2 +2ab

Step-by-step explanation:

Given: a^2 + b^2 = 7b (assuming A is really “a”)

b^2 + (2b - a)^2 = 7^2

Find; (a - b)^2

Plan: Use Algebraic Manipulation

Start with b^2 + (2b - a)^2 = 7^2 =>

b^2 + 4b^2 - 4ab + a^2 = 49 by expanding the binomial.

a^2 + b^2 + 4b^2 - 4ab = 49 rearranging terms

a^2 + b^2 -2ab - 2ab + 4b^2 = 49 =>

a^2 - 2ab + b^2 = 49 - 4b^2 +2ab rearranging and subtracting 4b^2 and adding 2ab to both sides of the equation and by factoring a^2 - 2ab + b^2

(a - b)^2 = 49 - 4b^2 +2ab

Double Check: recalculated ✅ ✅

(a - b)^2 = 49 - 4b^2 +2ab

4 0
2 years ago
Whats an inequality to express the relationship between -2 and -5.
AnnyKZ [126]

Answer:

-2>-5

Step-by-step explanation:

-2 is a greater number than -5

Have a great day!!

5 0
3 years ago
Two cities are 280 miles apart. how far apart are the cities on the map?
Sladkaya [172]
They should still be 280 miles apart on the map i belive.
3 0
3 years ago
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