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Nikitich [7]
3 years ago
5

If a and b are rational numbers and 5 +2 root 3/7+4 root3=a-b root 3;then a and b=

Mathematics
1 answer:
Usimov [2.4K]3 years ago
6 0

Answer:

           \bold{a=5\,,\quad b=-4\frac27}

Step-by-step explanation:

5+\frac{2\sqrt3}7+4\sqrt3=5+\frac27\sqrt3+4\sqrt3=5+4\frac27\sqrt3=5-(-4\frac27)\sqrt3

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Solve 3 x - 9 x + 7 - 3 = -8.
erik [133]

Answer: x=2

3x−9x+7−3=−8

Step 1: Simplify both sides of the equation.

3x−9x+7−3=−8

3x+−9x+7+−3=−8

(3x+−9x)+(7+−3)=−8

−6x+4=−8

−6x+4=−8

−6x+4−4=−8−4

−6x=−12

−6x

−6

=

−12

−6

x=2


3 0
3 years ago
How do you find a vector of length 10 in the direction of vequals=left angle 3 comma negative 2 right angle3,−2​?
Kazeer [188]
First we look for the angle of the vector, which will be given by:
 tan (x) = (- 2/3)
 Clearing x we have:
 x = ATAN (-2/3) = - 33.69 degrees.
 Which means that the angle is 33.69 degrees measured clockwise from the x axis.
 Equivalently the angle is
 360-33.69 = 326.31 degrees
 326.31 degrees measured counterclockwise from the x axis.
 The vector is then:
 v = 10 (cos (326.31) i + sin (326.31) j)
 answer
 v = 10 (cos (326.31) i + sin (326.31) j)
4 0
2 years ago
A local aquarium purchased a new turtle tank for their giant turtle exhibit. What is the volume of the turtle tank. 15 yd, 12yd,
slavikrds [6]

Answer:

1440 yd³

1200 yd³

Step-by-step explanation:

A local aquarium purchased a new turtle tank for their giant turtle exhibit  for their giant turtle exhibit.

By using the dimensions 15yd by 12yd by 8yd and the shape of the tank is cubooid

We can determine volume by using the formula i.e

V = (Length) × (Width) × (Height),

then the volume of the tank will be

V = 15 × 12 × 8 =

V=1440 yd³.

Now , by using dimensions 15 yd by 8 yd by 10 yd

The volume will be,

V = 15 × 8 × 10 = 1200yd³

6 0
3 years ago
You buy tomatoes at
Anna71 [15]

Answer:

Expression:

1.20p + 3.99p

Now subsitutute p with the number of pounds given for both tomato and pepper.

1.20(5) + 3.99(2) = $13.98

6 0
2 years ago
What is the slope of the line through (-4.2) and (3,-3)?​
Dennis_Churaev [7]

Finding the slope using the two points:

The formula for slope is

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

In this case...

y_{2} =-3\\y_{1} =2\\x_{2} =3\\x_{1} =-4

^^^Plug these numbers into the formula for slope...

\frac{-3-2}{3 - (-4)}

\frac{-5}{7}

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

3 0
3 years ago
Read 2 more answers
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