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kupik [55]
2 years ago
12

What is the intermediate step in the form (x+a)^2=b(x+a)

Mathematics
1 answer:
icang [17]2 years ago
3 0

Answer:

Step-by-step explanation:

x²+2 ×x×5+5²=-20x+2×x×5-3

(x+5)²=-20+10x-3

(x+5)²=-10x-3

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If side A is twice as long as B and C is 25 using the Pythagorean Theorem,What are the lengths of side A and B? Round to the nea
777dan777 [17]

Answer:

<u>The lengths of side A is 22.4 and B is 11.9</u>.

Step-by-step explanation:

Given:

If side A is twice as long as B and C is 25 using the Pythagorean Theorem.

Now, to find the lengths of side A and B.

Let the side B be x.

So, the side A be 2x.

Side C = 25.

Now, to solve by using Pythagorean Theorem:

A² + B² = C²

(2x)^2+(x)^2=(25)^2

4x^2+x^2=625

5x^2=625

<em>Dividing both sides by 5 we get:</em>

x^2=125

<em>Using square root on both sides we get:</em>

x=11.18.

<u>B rounding to the nearest tenth =  11.9.</u>

Now, to get A by substituting the value of x:

2x\\=2\times 11.18\\=22.36.

<u>A rounding to the nearest tenth =  22.4.</u>

Therefore, the lengths of side A is 22.4 and B is 11.9.

8 0
3 years ago
What is the equation of a parabola if the vertex is (1, 4) and the directrix is located at y = 7?
Oksana_A [137]

According to the vertex and the directrix of the given parabola, the equation is:

y = \frac{3}{4}(x - 1)^2 + 4

<h3>What is the equation of a parabola given it’s vertex?</h3>

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)^2 + k

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

h = 1, k = 4

The directrix is at y = 7, hence:

4 + 4a = 7

a = \frac{3}{4}

Hence, the equation is:

y = a(x - h)^2 + k

y = \frac{3}{4}(x - 1)^2 + 4

More can be learned about the equation of a parabola at brainly.com/question/26144898

4 0
2 years ago
Solve for x: 8x - 2 - 5x = 8?
Montano1993 [528]
A 3 1/3

Subtract
8x-2-5x=8
-5x
3x-2=8
+2 +2
3x=8
X=10/3
8 0
3 years ago
Find the slop of the line​
Goshia [24]

Answer:

5/4 is your slope.

Step-by-step explanation:

5-0= 5

4-0= 4

slope is chang in y over change in x. Your first point is (0,0) and you second is (4,5).

6 0
3 years ago
6xy (x 2 - xy + y 2 )
Liono4ka [1.6K]

(if 2 is a square)

6xy ( x2 - xy + y2)

= 6x3y - 6x2y2 - 6xy3 --------------the threes and twos on this line are squares and cubics. the six is just a whole number


6 0
3 years ago
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