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3 years ago

Evaluate the expression when x = -2/3 and y= 2/9 x-4y

Mathematics

1 answer:

Ratling [72]3 years ago

6 0

Answer:

-14/9

Step-by-step explanation:

We can plug -2/3 in for x and 2/9 in for y:

-2/3-4(2/9)

-2/3-8/9

We need the fractions to have the same denominator so we can convert -2/3 into -6/9

-6/9-8/9

-14/9

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I have several other questions

Licemer1 [7]

Answer:

81 m²

Step-by-step explanation:

A = 6*10 + 7*6/2

= 60 + 7*3

= 60 + 21

= 81 m²

6 0

3 years ago

Use the substitution method Y=-2x+11 y=-3x+21

gogolik [260]

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Y = 2 y /3 − 3

x = − y /3 + 7

Hope this helped!

6 0

4 years ago

Skee ball is a game played by rolling a wooden sphere up a ramp into a series of rings. The wooden ball has a surface area of ab

SVEN [57.7K]

Answer:

Radius of the ball is approximately 6.5 cm to the nearest tenth

Explanation:

The ball has the shape of a sphere

Surface area of a sphere can be calculated using the following rule:

Surface area of sphere = 4πr² square units

In the given problem, we have:

Surface area of the ball = 531 cm²

Substitute with the area in the above equation and solve for the radius as follows:

$531 = 4\pi r^2\\ r^2=\frac{531}{4\pi } = 42.255 \\ \\ r=\sqrt{42.255}=6.5004 cm$ which is approximately 6.5 cm to the nearest tenth

Hope this helps :)

3 0

3 years ago

The difference between a number x and 3 is at least nine Write an inequality for the following sentence.

dybincka [34]

Answer:

3 - x ≥ 9

Step-by-step explanation:

At least in inequality means greater than or equal to (≥)

Difference in mathematics means subtraction

The difference between a number x and 3

3 - x

is at least nine

3 - x ≥ 9

The inequality for the sentence is

3 - x ≥ 9

6 0

3 years ago

Given: Base ∠BAC and ∠ACB are congruent.

Sergio039 [100]

Refer to the image attached.

Given: $\angle BAC$ and $\angle ACB$ are congruent.

To Prove: $\Delta$ ABC is an isosceles triangle.

Construction: Construct a perpendicular bisector from point B to Line segment AC.

Consider triangle ABD and BDC,

$\angle BAD = \angle BCD$ (given)

$\angle ADB = \angle BDC = 90^\circ$

(By the definition of a perpendicular bisector)

$AD=DC$ (By the definition of a perpendicular bisector)

Therefore, $\Delta ABD \cong \Delta BDC$ by Angle Side Angle(ASA) Postulate.

Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)

8 0

3 years ago

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