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galina1969 [7]
3 years ago
11

Simplify 3√ ̅10 + 7 √ ̅15 - 6 √ ̅10 - 4 √ ̅15

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
7 0

Answer:

-3√ ̅10+3 √ ̅15

Step-by-step explanation:

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HELP ME ON THIS PLEASE!!!! SHOW WORK!!!!
Mumz [18]

Answer:

<h2>1. x = 4</h2><h2>2. x = 20</h2>

Step-by-step explanation:

1.

ΔABC and ΔAJK are similar (AA). Therefore the sides are in proportion:

\dfrac{AC}{AJ}=\dfrac{AB}{AK}

We have:

AC = 1 + 4 = 5

AJ = 1

AB = 1 + x

AK = 1

Substitute:

\dfrac{5}{1}=\dfrac{1+x}{1}

5=1+x           <em>subtract 1 from both sides</em>

4=x\to x=4

2.

ΔVUT and ΔVMN are similar (AA). Therefore the sides are in proportion:

\dfrac{VU}{VM}=\dfrac{VT}{VN}

We hve:

VU = x + 8

VM = x

VT = 49

VN = 49 - 14 = 35

Substitute:

\dfrac{x+8}{x}=\dfrac{49}{35}              <em>cross multiply</em>

35(x+8)=49x          <em>use the distributive property a(c + b) = ab + ac</em>

35x+280=49x              <em>subtract 35x from both sides</em>

280=14x         <em>divide both sides by 14</em>

20=x\to x=20

3 0
3 years ago
2(x + 1 ) - 3(x + 5) ≥ 0 please solve!!
djverab [1.8K]

Answer:

Step-by-step explanation:

2x + 2 -3x -15 > 0

-x-13 > 0

-x > 13

Answer: x < -13

8 0
3 years ago
Read 2 more answers
Consider the image of EFGH for the translation (x, y) → (x – 3, y + 1). What is the ordered pair of F′?
omeli [17]

Answer:

F'(-1,3)

Step-by-step explanation:

The rule for the translation is given as

(x,y)\rightarrow (x-3,y+1)

The coordinates of F are (2,2).

We substitute these coordinates into the translation rule to find the coordinates of F'.

F(2,2)\rightarrow F'(2-3,2+1)

F(2,2)\rightarrow F'(-1,3)

3 0
3 years ago
What is the slope of this equation please help me
galina1969 [7]
The slope is always change in y value over change in x value so if you pick any 2 points on the line you’ll see that the slope is 30/40 and that simplified is 3/4 so the slop is 3/4
4 0
3 years ago
What the y-intercept of (8,0) and (3,7)
Anettt [7]

Answer:

\sf \bf y - intercept = \dfrac{56}{5}

Step-by-step explanation:

Y-intercept:

   (8,0)  ; x₁ = 8 & y₁ = 0

   (3,7)   ; x₂= 3  & y₂ = 7

  • First find the slope of the line.

      \sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}

                  \sf = \dfrac{7 - 0}{3 - 8}\\\\ =\dfrac{7}{-5}\\\\=\dfrac{-7}{5}

 slope y-intercept form of the line:  y = mx + b

Substitute the slope and x and y in the above equation. We can choose anyone of the given points.

     0 = \dfrac{-7}{5}*8 + b\\\\0=\dfrac{-56}{5}+b\\\\\dfrac{56}{5}=b\\\\ \boxed{\bf b = \dfrac{56}{5}}

3 0
2 years ago
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