294 simplify the radicals

Which of the following expressions are equivalent to 4+(14-2)4+(14−2)4, plus, left parenthesis, 14, minus, 2, right parenthesis?

ch4aika [34]

Answer:The Answer is C,D and E

Step-by-step explanation:I just answered it on khan academy

8 0

3 years ago

Read 2 more answers

The enrollment of a school was 1200. Since then, it has increased at a rate of 35 students per year. Write an equation to repres

Romashka [77]

The general equation to represent the enrollment of the school each year after 2000 = 1200 +35 n

where n = number of years after 2000.

Step-by-step explanation:

Here, according to the question:

The initial number of students enrolled in the school = 1200 students

The number of students increased each year = 35 students

Now if the initial year is 2000, then the number of student in the first year

= Initial enrollment + ( n x Number of students increasing each year )

where n : The total number of years after 2000

So, the number of students in first year after 2000 for n = 1 is

1200 + ( 1 x 35) = 1235

The number of students in second year after 2000 for n = 2 is

1200 + ( 2 x 35) = 1270

The number of students in third year after 2000 for n = 3 is

1200 + ( 3 x 35) = 1305

Hence, the general equation to represent the enrollment of the school each year after 2000 = 1200 +35 n where n = number of years after 2000.

4 0

3 years ago

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Two triangles have bases with lengths 5in and 8in.

Elis [28]

Answer:

i. The ratio of the areas of the two triangles is 5:8.

ii. The area of the larger triangle is 24 in².

Step-by-step explanation:

Let the area of the smaller triangle be represented by $A_{1}$ , and that of the larger triangle by $A_{2}$ .

Area of a triangle = $\frac{1}{2}$ x b x h

Where; b is its base and h the height.

Thus,

a. The ratio of the area of the two triangles is:

$\frac{area of the smaller triangle}{area of the larger triangle}$

Area of smaller triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 5 x h

= $\frac{5}{2}$ h

Area of the lager triangle = $\frac{1}{2}$ x b x h

= $\frac{1}{2}$ x 8 x h

= 4h

So that;

Ratio = $\frac{\frac{5}{2}h }{4h}$

= $\frac{5}{8}$

The ratio of the areas of the two triangles is 5:8.

b. If the area of the smaller triangle is 15 in², then the area of the larger triangle can be determined as;

$\frac{area of the smaller triangle}{area of the larger triangle}$ = $\frac{5}{8}$

$\frac{15}{A_{2} }$ = $\frac{5}{8}$

5 $A_{2}$ = 15 x 8

= 120

$A_{2}$ = $\frac{120}{5}$

= 24

The area of the larger triangle is 24 in².

7 0

3 years ago

Which one doesn't belong why?

Gelneren [198K]

Answer:

C

Step-by-step explanation:

Based on the other answers. C is the odd one out.

6 0

3 years ago

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 1).

Anika [276]

Good evening ,

Answer:

We just transform the g graph using a translation of vector (-i)

Step-by-step explanation:

Look at the photo below for the graphs.

:)

5 0

3 years ago