The green shape is a dilation of the black shape. What is the scale factor of the dilation?

Mathematics

2 answers:

kow [346]3 years ago

7 0

Answer:

Step-by-step explanation:

damaskus [11]3 years ago

7 0

Answer:

Step-by-step explanation:

The left most line is 2 units above the x axis on the black shape.

The left most line is 8 units above the x axis on the green shape

the dilation factor is

green / black = 8 / 2

green / black = 4

You might be interested in

Which shows the unsimplified solution for x^2 + 8x + 6 = 0?

irinina [24]

<u /> $x^{2} + 8x + 6 = 0 \\x = \frac{-(8) +/- \sqrt{(8)^{2} - 4(1)(6)}}{2(1)} \\x = \frac{-8 +/- \sqrt{64 - 24}}{2} \\x = \frac{-8 +/- \sqrt{40}}{2} \\x = \frac{-8 +/- 2\sqrt{10}}{2} \\x = -4 +/- \sqrt{10}$
$x = -4 + \sqrt{10}$ $x = -4 - \sqrt{10}$

It is equal to D.

6 0

3 years ago

I need help on all of them

PtichkaEL [24]

1. 1 hour is 3x20 minutes so distance is 3 km wi=hich is 3000 metres
2. same way as before but now 4x 1km is 4000 metres, minus the previous answer is 1000 metres.
3. 26 days x 24 hours (in one day) = 624 hours
4. A) 1 hour 45 minutes
B) 10:10, because add one hour and then minus 10 minutes (probably easiest way)

5 0

3 years ago

Adalimumab (Humira), a recombinant human monoclonal antibody, is available in a prefilled syringe containing 40 mg/0.8 mL. Calcu

Neporo4naja [7]

Answer:

The concentration of the drug is 50mg/mL.

Step-by-step explanation:

This problem can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this problem, as the number of mg increases, so does the number of mL. It means the we have a direct rule of three.

Tha problem states that the antibody is available in a prefilled syringe containing 40 mg/0.8 mL. Calculate the concentration of drug on a mg/mL basis.

The problem wants to know how many mg are there in a mL of the drug.

40mg - 0.8mL

x mg - 1 mL

0.8x = 40

$x = \frac{40}{0.8}$