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2 years ago

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Mathematics

1 answer:

Galina-37 [17]2 years ago

3 0

Because the two triangles are similar, one is a scaled down version of the other.

You can figure out that scale by comparing two matching sides, in this case AD and AB.

AD = 2 and AB = 2+4 = 6

So 2/6 = 1/3, telling us each side of the smaller triangle is 1/3 the size of the original.

Now we need to find ED and know CB = 12. Knowing ED = 1/3 of CB:
ED = 1/3 • 12 = 4

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Find the zeros of the quadratic function: y= 6(7x + 9)(8x - 3).

fiasKO [112]

Answer:

A) (-9/7,0), (3/8,0)

Step-by-step explanation:

Zeros of a quadratic function:

x for which y = 0.

In this question:

$y = 6(7x + 9)(8x - 3)$

It's 0 if one of the factors is 0. 6 is never 0, now about the other to:

$7x + 9 = 0$

$7x = -9$

$x = -\frac{9}{7}$

So (-9/7, 0) is a zero of the quadratic function.

The other is:

$8x - 3 = 0$

$8x = 3$

$x = \frac{3}{8}$

(3/8,0) is the other zero.

Thus, the correct answer is given by option A.

6 0

2 years ago

Solve the following quadratic equations by any method. The solutions are:

Nataly_w [17]

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

$\longrightarrow f(x) = x^2-12x +32$

Step 1 : Equate f(x) with 0 :-

$\longrightarrow f(x) = 0\\$

$\longrightarrow x^2-12x + 32=0$

Step 2 : Factorise the RHS :-

$\longrightarrow x^2-8x - 4x +32=0\\$

$\longrightarrow x(x-8)-4(x-8)=0\\$

$\longrightarrow (x-8)(x-4)=0\\$

Step 3 : Equate each factor with 0 :-

$\longrightarrow x - 8 = 0\\ \qquad x -4=0$

$\longrightarrow x = 8 \qquad x = 4$

$\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}$

Hence option C is correct .

8 0

1 year ago

Why is the remainder always less than the divisor

anastassius [24]

The remainder is always less than the divisor because if the remainder was more than the divisor then you would have a totally different answer. If the remainder was more than the divisor than you know your answers wrong.

4 0

3 years ago

Julie is photocopying a letter. The original letter was 8 in wide and 11 in. long. The new copy is 12 in. wide. How long is the

lions [1.4K]

It would be 16.5 inches long.
First you have to divide 11 by 8 (1.375) to get how long would the letter be if it was 1 inch wide. Then multiply 1.375 by 12 which is 16.5.

8 0

2 years ago

Tash conducted a survey of the students in her school.

Rasek [7]

Answer:

The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.

7 0

3 years ago