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3 years ago

How many solutions does 9x-4=4+4x have?

Mathematics

2 answers:

nexus9112 [7]3 years ago

8 0

Answer:

One solution

Step-by-step explanation:

9x-4=4+4x

Subtract 4x from each side

9x-4x-4=4+4x-4x

5x-4 = 4

Add 4 to each side

5x-4+4 = 4+4

5x= 8

Divide by 5

5x/5 = 8/5

x = 8/5

nordsb [41]3 years ago

5 0

Answer:

One solution: x = 8/5

Step-by-step explanation:

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Please help me find the total area of the composite figure below (geometry)

Akimi4 [234]

Answer:

lw + $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$ ⇒ Answer D is correct

Step-by-step explanation:

First, let us find the area of the semi-circle.

Area = $\frac{1}{2}$ × π × r²

Given that,

diameter of the semi-circle is ⇒ l

∴ radius ⇒ l / 2

Let us find it now.

Area = $\frac{1}{2}$ × π × r²

Area = $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$

Secondly, let us find the area of the rectangle.

Area = length × width

Given that,

length ⇒ l

width ⇒ w

Let us find it now.

Area = length × width

Area = l ×w

Area = lw

And now let us find the total area.

Total area = Area of the rectangle + Area of the semi - circle

Tota area = lw + $\frac{1}{2}$ × π × $(\frac{l}{2} )^{2}$

8 0

2 years ago

Andrea bought tacos from a food truck and left a 2 5 % 25%25, percent tip of $ 2 . 0 0 $2.00dollar sign, 2, point, 00. What was

Bingel [31]

Let us say the original price of taco before tip was x dollars.

Percentage of tip given =25 %

Amount of tip given = $2

Now we can say that 25 % of total amount = 2 dollars.

Making an equation,

$0.25x =2$

Now we have to solve for x, so dividing both sides by 0.25,

x= 8

Answer : The original price of tacos before tip was $8.

5 0

3 years ago

Read 2 more answers

Dimitri drew a right angle. Then he drew an angle that was 20° larger. What is the measure of the second angle Dimitri drew?

marysya [2.9K]

Right angle is 90 degrees. 90 + 20 = 110 degrees

4 0

3 years ago

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Rectangle ABCD has vertices at (-7,-2); (1, -2); (1, -8); and (-7, -8) respectively. If GHJK is a similar rectangle where G(2, 5

Gennadij [26K]

Answer:

Points J and K could be located at:

J(2,2)

K(6,2)

Step-by-step explanation:

Consider the vertices have a x and y coordinate:

A: x coordinate=-7 y coordinate=-2

B: x coordinate=1 y coordinate=-2

C: x coordinate=1 y coordinate=-8

D: x coordinate=-7 y coordinate=-8

G: x coordinate=2 y coordinate=5

H: x coordinate=6 y coordinate=5

Then it is possible to calculate the distance between the x and y coordinates:

x coordinate of Vertices AB:

x coordinate of B- x coordinate of A=1-(-7)=8

The distance between A and B is 8

y coordinate of Vertices AC:

y coordinate of A- y coordinate of C=-2-(-8)=6

The distance between A and C is 6

Then we know that the side AB of Rectangle ABCD measures 8 and the side AC, measures 6.

Repeat the analysis with Rectangle GHJK. In this case, is only possible to calculate the distance with x coordinate.

x coordinate of Vertices GH:

x coordinate of H- x coordinate of G=6-(2)=4

The distance between G and H is 4

We can see that the distance in x of the Rectangle ABCD is 8, and the distance in x of the Rectangle GHJK is 4, it means that the measure of ABCD is twice GHJK.

Then, if the distance in y coordinate of Vertices AC is 6, we could say that the distance in y coordinate of Vertices GJ is 3.

Points J and K could be located at:

J(2,2)

K(6,2)

3 0

3 years ago

I don’t know if it’s A or B

lara31 [8.8K]

Answer:

Step-by-step explanation:

this is true due to the ratio of a 30-60-90 triangle, which is 1-2-sqrt(3). The 12 corresponds to the sqrt(3), which means that the 1 corresponds to 4sqrt3 and the 2 to 8sqrt3.

7 0

3 years ago

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