All categories

3 years ago

Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

7 0

The scale factor's 3 since 12 and 4 can be divided by 3 and -6 and -2 can also be divided by 3.

You might be interested in

Does Emiliano need more than 1 stick of butter or less than 1 stick of butter for the corn bread and the apple muffins?

Nookie1986 [14]

Answer:

Emilio needs less than 1 stick of butter

Step-by-step explanation:

Emilio needs 1/2 stick of butter to make cornbread . He also needs 1/4 stick of butter to make apple muffins . Does Emilio need more than I stick of butter to make both recepes or less than 1 stick of butter ? How do you know?

Cornbread = 1/2 stick of butter

Apple muffins = 1/4 stick of butter

Total sticks of butter = cornbread + apple muffins

= 1/2 + 1/4

= (2+1) / 4

= 3/4 stick of butter

= 0.75 stick of butter

0.75 stick of butter is less than 1 stick of butter

Therefore,

Emilio needs less than 1 stick of butter

4 0

3 years ago

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

$a_1$ is the first term

$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

$a_n=a_1+\left(n-1\right)d$

$a_{17}=a_1+\left(17-1\right)d$

$51=a_1+\left(17-1\right)7$ ∵ $n = 17$ , $a_{17}=51$ , $d=7$

$a_1+112=51$ ∵ $\left(17-1\right)\cdot \:\:7=112$

$a_1=-61$

Therefore, the first term is:

$a_1=-61$

8 0

2 years ago

If the radius of a circle is 111, what is the diameter?

yan [13]

Answer:

d=222

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Formulate the situation as a system of inequalities. (Let x represent the number of dinghies the company can manufacture and y r

kirill [66]

Answer:

x (smallest to largest) = 0,45 ,55

y (smallest to largest) = 0,10,40

Step-by-step explanation:

(hours) Dinghy Rowboat Labor Available

Metal Work 2 3 120

Painting 2 2 110

Let x represent the number of dinghies the company can manufacture and y represent the number of rowboats.

So, total hours for metal work = $2x+3y$

So, total hours for Painting = $2x+2y$

So, equation becomes:

$2x+3y\leq 120$

$2x+2y\leq 110$

$x\geq 0$

$y\geq 0$

Plot the inequalities

Refer the attached figure

So, the vertices of the feasible region are (0,40),(45,10) and (55,0)

So, x values are 0 , 45 and 55

x represents the number of dinghies

So, x (smallest to largest) = 0,45 ,55

y values are 40,10,0

y represent the number of rowboats.

So, y (smallest to largest) = 0,10,40

3 0

3 years ago

Please answer, Thank you. Image below.

Bezzdna [24]

Answer:

88°

Step-by-step explanation:

The triangle is an isosceles triangle, so two of the angles are both 46°. We also know that the sum of all the angles in any triangle is 180°, so we can set up the following equation:

46° + 46° + e = 180°

Solving this gets e = 88°.

8 0

2 years ago