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4 years ago

Question #4

Mathematics

1 answer:

zheka24 [161]4 years ago

6 0

Answer:

y = -4/5x + 2 & y = -2/7x - 4/7

Step-by-step explanation:

(4x) - 5y = -10 (2x) - 7y = 4

Move 4x on the same side as -10 Move 2x on the same side as 4

-5y = 4x -10 -7y = 2x + 4

Divide -5 to both sides Divide -7 by both sides

That should isolate the y for both equations.

4x/-5 = -4/5x....-10/-5 = 2 2x/-7 = -2/7x....4/-7 = -4/7

y = -4/5x + 2 y = -2/7x - 4/7

If that wasn't the answer to your question, I'm sorry.

But if it did, then your welcome.

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The m∠B is two more than three times the measure of ∠C. If ∠B and ∠C are complementary angles, find the measures of both angles.

allsm [11]

Answer:

B = 68° and C = 22°

Step-by-step explanation:

Let angle B's measure be B and angle C's measure be C.

Also note that complementary means that they sum to 90.

Now:

The m∠B is two more than three times the measure of ∠C:

we can write:

B = 3C + 2

If ∠B and ∠C are complementary angles:

B + C = 90

Putting 1st equation in 2nd, we get:

B + C = 90

3C + 2 + C = 90

4C = 90 - 2

4C = 88

C = 88/4 = 22

Now B = 3C + 2, so

B = 3(22) + 2 = 68

Hence, B = 68 degrees and C = 22 degrees

7 0

3 years ago

G(t)=−(t−1)^2+5

garri49 [273]

Answer:

In the interval of - 2 ≤ t ≤ 4, the average rate of change is zero.

Step-by-step explanation:

The function is given to be $g(t) = - (t - 1)^{2} + 5$ ............ (1)

(i) Now, for 1 ≤ t ≤ 4, we will put t = 1 and t = 4.

So, g(1) = 5, g(4) = - 4. {From equation (1)}

Hence, g(1) ≠ g(4)

(ii) Now, for - 4 ≤ t ≤ - 3, we will put t = - 4 and t = - 3.

So, g(- 4) = - 20, g(- 3) = - 11. {From equation (1)}

Hence, g(- 4) ≠ g(- 3)

(iii) Now, for -2 ≤ t ≤ 0, we will put t = - 2 and t = 0.

So, g(- 2) = - 4, g(0) = 4. {From equation (1)}

Hence, g(- 2) ≠ g(0)

(iv) Now, for - 2 ≤ t ≤ 4, we will put t = - 2 and t = 4.

So, g(- 2) = - 4, g(4) = - 4. {From equation (1)}

Hence, g(- 2) = g(4)

Therefore, in the interval of - 2 ≤ t ≤ 4, the average rate of change is zero. (Answer)

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4 years ago

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Lostsunrise [7]

(used with a singular verb) the systematic treatment of magnitude,relationships between figures and forms, and relations betweenquantities expressed symbolically

3 0

3 years ago

How many square feet of outdoor carpet will we need for this hole?

SVETLANKA909090 [29]

For this you would want to break this fgure up with familar shapes. You can do two triangles and one big rectangle.

First triangle:

(3)(2)(1/2)= 3 feet squared

Second Triangle:

(3)(4)(1/2)= 6 feet squared

Rectangle:

(11)(3)= 33 feet squared

Now you add:

33+3+6= 42 feet squared

So, for this hole you will need 42 feet squared of outdoor carpet

8 0

3 years ago

Read 2 more answers

Question 1

fredd [130]

Hello!

The graphs of sine and cosine are waves. Therefore, choice A and B are wrong.

The graph of f(x) = cot(x) is an inverse of f(x) = tan(x), so therefore the graph of f(x) = cot(x) has the lines similar to the graph above, but it's flipped.

So therefore, the graph shown above is choice C, f(x) = tan x.

8 0

3 years ago