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3 years ago

Find the measure of 2 and 4 if 1=122° and 3 = 58°

Mathematics

1 answer:

aalyn [17]3 years ago

8 0

Answer:

Due to lack of details, I can come up with several possible answers

if 2 is opposite from ∠3, then ∠2 = 58°

if 2 is opposite from ∠1, then ∠2 = 122°

if 4 is opposite from ∠3, then ∠4 = 58°

if 4 is opposite from ∠1, then ∠4 = 122°

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Which is the completely factored form of 4x2 28x 49? (x 7)(4x 7) 4(x 7)(x 7) (2x 7)(2x 7) 2(x 7)(x 7)

natima [27]

The completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c, then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha \times \beta$

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, the given quadratic expression is:

$4x^2 + 28x + 49$

So we've to find two numbers such that:

Their sum = b = 28

Their product = $ac = 4\times 49 = 196$

We can see that 196 is square of 14, and that 14 added twice forms 28, thus:

14 + 14 = 28

14×14 = 196

Writing b = 28 as sum of 14 twice, we get:

$4x^2 + 28x + 49 = 4x^2 + 14x + 14x +49 \\4x^2 + 28x + 49 = 2x(2x+7) + 7(2x + 7)\\4x^2 + 28x + 49 = (2x+7)(2x+7)$

Thus, the completely factored form of 4x^2 + 28x + 49 is given by: Option C: (2x+7)(2x+7)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

8 0

2 years ago

30 points! please help

Trava [24]

Gopherus have been clocked at rates 0.13 to 0.30 mph (0.05 to 0.13 m/s

5 0

3 years ago

Please help select both answers!!

krok68 [10]

I think it would be the first one? 2 units to the left of g(x).

5 0

3 years ago

Read 2 more answers

What is the approximate length of AB? <br><br>

liq [111]

Answer:

Step-by-step explanation:

1. go to desmos Graphing calculator and select graphing calculator

2. Next type in the word length then it should look like this Length

3. Don't space just put this ( and type in the point it should look like this Length(-2,-3),(4,4)

4. Be sure to do double () it should look like this Length((-2,-3),(4,4))

5. It should give you your answer

6 0

2 years ago

beni is shopping for a new cell phone plan. company a charges$72.25for a new phone and $85.50 per month.company b charges $151.2

tigry1 [53]

Missing questions and subsequent solutions:
(a) Write an equation for company A for cost, C, number of months, n, that Beni will pay for the phone.

Solution:
For company A:
C = 72.25 + 85.50n

(b) Write an eqyation for company B for cost, C, and number of months, n, that Bei will pay for the phone.

Solution:
For company B:
C = 151.25 + 65.75n

(c) Write an inequality when the cost from company A is better than cost from company B.

Solution:
72.25 + 85.50n ≤ 151.25 + 65.75n
(85.50-65.75)n ≤ (151.25 - 72.25)
19.75 n ≤ 79
n ≤ 4

(d) Value of n for which cost from the two companies will be the same.

Solution:
If cost for companies A and B are the same, then
72.25 + 85.50n = 151.25 + 65.75n
(85.5 - 65.75)n = 151.25 - 72.25
19.75n = 79
n = 79/19.75 = 4 months

After 4 months,
C = 72.25 + 85.5*4 = $414.25

7 0

3 years ago