All categories

4 years ago

5x – 6y = –29: ( __, 4)

Mathematics

1 answer:

Xelga [282]4 years ago

7 0

Hola, qué tal tu día

You might be interested in

Work out the mean of these three numbers

maxonik [38]

Answer:

110

Step-by-step explanation:

Let the three numbers be 100, 110 and 120

100 + 110 + 120 = 330

Total numbers = 3

$mean = \frac{330}{3} = 110 \\$

6 0

3 years ago

The radius of the large sphere is double the radius of the small sphere.

Vlad [161]

Answer:

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Remember that all the spheres are similar

Let

z ----> the scale factor

V_1 ---> the volume of the large sphere

V_2 ---> the volume of the small sphere

$z^3=\frac{V_1}{V_2}$

<em>Find the scale factor</em>

we know that

The radius of the large sphere is double the radius of the small sphere

The scale factor is 2

$z=2$

substitute the value oz z

$z^3=\frac{V_1}{V_2}$

$2^3=\frac{V_1}{V_2}$

$8=\frac{V_1}{V_2}$

$V_1=8V_2$

The volume of the large sphere is 8 times the volume of the small sphere

8 0

4 years ago

Read 2 more answers

∆ABC is translated 6 units up and 3 units left to create ∆A'B'

guajiro [1.7K]

Keep in mind that the positive directions of the two axis are: upwards for the y axis and rightwards for the x axis.

So, translating a point 6 units up means to go 6 units along the positive direction on the y axis. For this reason, the new y coordinate will be 6 units more than the old one.

Similarly, going 3 units left means to decrease by 3 the x coordinate, because we're following the negative direction.

So, to recap, this transformation maps $(x,y) \to (x-3, y+6)$

This means that the two points become

$A = (-1, 2) \implies A' ( -4,8),\qquad B = (1,5) \implies B' = (-2,11)$

6 0

4 years ago

If you could plz help it would be greatly appreciated. Questions in picture :)

Pavel [41]

Notice that 8 can be written in exponential form of $2^{3}$

When you see $(2^{3} )^{\frac{8}{3} }$ , recognize that $(a^{m} )^{n} =a^{mn}$

3 × $\frac{8}3}$ = 8

Hence, the answer is $2^{8}$ . Which means 256.

Here is some indices rules/formulas you might find helpful as well:

$a^{m} * a^{n} =a^{m+n} \\\\ a^{m} /a^{n} =a^{m-n} \\\\ (a^{m} )^{n} =a^{mn} \\\\ a^{-m} =\frac{1}{a^{m} }$

7 0

3 years ago

PLease help! Thanks

My name is Ann [436]

Count how many times you have to move the decimal point to move it past the first number. in this case 6, so...

1.84*10^-6 is the answer.

Hope this helps! :)

8 0

3 years ago