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soldi70 [24.7K]
3 years ago
12

Given f(x) = 5x - 7 and g(x) = x² - 3, find f(f(2)).

Mathematics
1 answer:
sveta [45]3 years ago
4 0

Step-by-step explanation:

Given f(x) = 5x - 7 and g(x) = x² - 3, find f(f(2))

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In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length s
Harrizon [31]

Answer:

11.25

Step-by-step explanation:

Since AB and CD  are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B.  Therefore the two triangles are similar by the AA postulate.  Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

     = 45/4  = 11.25

8 0
3 years ago
Given triangle abc with vertices A(2,-1), B(5,6), C(-1,4) as shown. Find the number of square units in the area of triangle abs
Roman55 [17]

Answer:

The area of the triangle is 18 square units.

Step-by-step explanation:

First, we determine the lengths of segments AB, BC and AC by Pythagorean Theorem:

AB

AB = \sqrt{(5-2)^{2}+[6-(-1)]^{2}}

AB \approx 7.616

BC

BC = \sqrt{(-1-5)^{2}+(4-6)^{2}}

BC \approx 6.325

AC

AC = \sqrt{(-1-2)^{2}+[4-(-1)]^{2}}

AC \approx 5.831

Now we determine the area of the triangle by Heron's formula:

A = \sqrt{s\cdot (s-AB)\cdot (s-BC)\cdot (s-AC)} (1)

s = \frac{AB+BC + AC}{2} (2)

Where:

A - Area of the triangle.

s - Semiparameter.

If we know that AB \approx 7.616, BC \approx 6.325 and AC \approx 5.831, then the area of the triangle is:

s \approx 9.886

A = 18

The area of the triangle is 18 square units.

7 0
3 years ago
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
ruslelena [56]

Answer:

61.716 seconds (62 if round up is needed)

Step-by-step explanation:

36 / 7 = 5.143

5.143 * 12 = 61.716

7 0
3 years ago
in one month darius spends 10 hours walking dogs. How many dogs walks does he do in one month ALSO this is dividing a whole numb
MA_775_DIABLO [31]

Step-by-step explanation:

let's assume one month is 30 days you would multiply 10 by 30.

10 \times 30 = 300

which would be 300 hours in 1 month

now if one month is 31 days you would simply multiply 10 by 31.

10 \times 31 = 310

which would be 310 hours

6 0
3 years ago
219.44 in word form
Naily [24]

Answer:

two hundred nineteen and 44

OR

two hundred nineteen point 44

Step-by-step explanation:

do not say AND before nineteen. saying AND represents a decimal point. Both can be used (point or and)

6 0
3 years ago
Read 2 more answers
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