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3 years ago

In the isosceles triangle, find a and b if you knew the perimeter was 20x+35

Mathematics

1 answer:

Zanzabum3 years ago

3 0

Answer:

a=8

b=17

Step-by-step explanation:

Isoceles means we will have 2 congruent sides in this triangle.

So it appears we are to assume it is sitting on its base which means that other side has measurement ax+9 as well

So we have the sum of the 3 sides is the perimeter.

That means we have the equation:

(ax+9)+(ax+9)+(4x+b)=20x+35

Combine like terms:

(a+a+4)x+(9+9+b)=20x+35

(2a+4)x+(18+b)=20x+35

This implies 2a+4=20 and 18+b=35.

2a+4=20

Subtract 4 on both sides:

2a=16

Divide both sides by 2:

a=8

18+b=35

Subtract 18 on both sides:

b=17

So a=8 and b=17.

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Which answer describes the transformation of f(x)=log2(x−5)−2 from the parent function g(x)=log2x ? A) It is the graph of g(x) s

damaskus [11]

Answer:

It is the graph of g(x) shifted 5 units right and 2 units down.

Step-by-step explanation:

Given : f(x)=log_2(x−5)−2

the parent function g(x)=log_2(x)

To get f(x) , 5 is subtracted from x

If we add any number with x then we shift left

If we subtract any number from x then we shift right

Here 5 is subtracted from x , so we shift 5 units right

Also -2 at the end

If we add any number at the end , then we shift up

if we subtract any number at the end , then we shift down

Here 2 is subtracted at the end , so we shift 2 units down

It is the graph of g(x) shifted 5 units right and 2 units down.

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3 years ago

I don't know what to do ?

Yuri [45]

Enable M = Mary's age now So Mike's age is 3M 3M + 4 = 2 (M + 4) = 2M + 8 Now, subtract 2M from the two factors. then you definitely have: M + 4 = 8 or M = 4 examine: Mike is now 12. In 4 years, Mary would be 8 and Mike would be sixteen.

3 0

3 years ago

Read 2 more answers

Some students were asked what kinds of animals they have at home.

Nataly_w [17]

(a) Animals by popularity; Dogs, Cats, Others, Horses.

(b) If 250 students were interviewed, 20 students have other pets.

(c) No, it was incorrect.

Step-by-step explanation:

Step 1; We arrange the different pets in chronological order, from the highest percent to the lowest percent;

1. Dogs - 67%,

2. Cats - 20%

3. Others - 8%,

4. Horses - 1%.

None is not included in this list.

Step 2; If 250 students were interviewed, 8% of those have other pets. So we need to calculate how much 8% of 250 is.

8% of 250 = $\frac{8}{100}$ × 250 = 0.08 × 250 = 20.

So 20 students had other pets.

Step 3; 20% of the interviewed students had cats. If 75 students had cats, we need to equate 20% to the 75 and find out how many students were actually interviewed.

20% × x = 75, 0.2 × x = 75,

x = $\frac{75}{0.2}$ = 375.