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3 years ago

4. (i) Solve the equation 2x2 – 7x + 4 = 0, giving

Mathematics

1 answer:

Colt1911 [192]3 years ago

6 0

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Indicate whether the measures 11, 12, and 20 can be the side lengths of a triangle. If they can, classify the triangle.

IrinaVladis [17]

Answer:

Its obtuse

Step-by-step explanation:

one angel is above 90 degrees.

4 0

3 years ago

Factorise 9w² - 100<br><br><br>

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

8 0

3 years ago

A truck rental company rents a moving truck One Day by charging $39 + 0.09 per mile write a linear equation that relates the cos

Ivanshal [37]

Answer:

$(a)\ c(x) = 39 + 0.09 x$

$(b)\ \$53.4$

Step-by-step explanation:

Given

$Base\ Charge = \$39$

$Rate = 0.09$ per mile

Solving (a): Linear Equation

The total charges (c(x)) is: the base charge + the rate * number of miles (x).

So, we have:

$c(x)= 39 + 0.09 * x$

$c(x) = 39 + 0.09 x$

Solving (b): Cost of rent, if miles = 160

This implies that x = 160

So, we have:

$c(x) = 39 + 0.09 x$

$c(160) = 39 + 0.09 *160$

$c(160) = 39 + 14.4$

$c(160) = 53.4$

7 0

3 years ago

8x · 1 = 8x

koban [17]

Answer:

Hi there!

Your answer is:

B. Identity property

Step-by-step explanation:

The multiplicative identity property of 1, any number multiplied by 1, gives the same result as the number itself. It is also called the Identity property of multiplication, because the identity of the number remains the same

Hope this helps!

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3 years ago

How do I solve this geometry problem?????

arsen [322]

Take the equations and solve them. they should lead up to degrees. Then add those degrees together and subtract that answer by 360 degrees and that should be your answer.

Hope this helps

3 0

3 years ago