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OLEGan [10]
3 years ago
11

Factor the trinomial below. x2 – 2x – 35 A. (x – 5)(x + 7) B. (x – 5)(x – 7) C. (x + 5)(x – 7) D. (x + 5)(x + 7)

Mathematics
2 answers:
kirill [66]3 years ago
5 0
CCCCCCCCCCCCCCCCCCCCCCCCCCCC
Sophie [7]3 years ago
3 0
c. (x + 5)(x - 7)    use the FOIL method.

x² + 5x - 7x - 35

x² + (5x - 7x) - 35   collect like terms.

x² - 2x - 35   

hope that helps, God bless!
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given that a1=5 and a2=15 are the first two terms of a geometric sequence, determine the values of a3 and a10. Show the calculat
Alekssandra [29.7K]

a_3 is 45 and a_10 is 98415

Step-by-step explanation:

Given

a_1 = 5

a_2 = 15

First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.

So,

r=\frac{a_2}{a_1} = \frac{15}{5} = 3

The explicit formula for geometric sequence is:

a_n = a_1.r^{n-1}

Putting the value of r and a_1

a_n = 5.(3)^{n-1}

Putting n=3 in the explicit formula

a_3 =5.3^{3-1}\\= 5 * 3^2\\=5 * 9\\= 45

Putting n=10 for tenth term

a_{10} =5.3^{10-1}\\=5*3^9\\=5 * 19683\\=98415

Hence,

a_3 is 45 and a_10 is 98415

Keywords: Geometric sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026

#LearnwithBrainly

7 0
3 years ago
Explain how to write the equation of a vertical line
valentina_108 [34]

Answer:

Look below

Step-by-step explanation:

A vertical line doesn't intercept the y-axis, therefore the equation would be x=b in which b is where the line intercepts the x-axis.

6 0
2 years ago
Read 2 more answers
Find the distance between the two points in simplest radical form.
Jlenok [28]

Answer:

d=\sqrt{58}\approx7.6

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).

Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

d=\sqrt{(-2-1)^2+(8-1)^2

Subtract:

d=\sqrt{(-3)^2+(7)^2

Square:

d=\sqrt{9+49}

Add:

d=\sqrt{58}

This cannot be simplified.

So, the distance between the two points is √58 or about 7.6 units.

And we're done!

So... where's my cookie :)?

6 0
3 years ago
Given a standard form linear equation 33 - 4y = 12​
Kisachek [45]

Answer:

5 1/4

Step-by-step explanation:

4 0
2 years ago
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What is the solution to the system of equations? Use the substitution method.
BabaBlast [244]
The answer is:
4x+2y=11}  4x+2y=11} x=2-2y
x-2=-2y    }  x+2y=2    } x=2-2(-3/6)
                                      x=2-(-6/6)
4(2-2y)+2y=11              x=2-(-1)
8-8y+2y=11                   x=3
8-6y=11
-6y=11-8
-6y=3/-6
y=-3/6=-1/2

So for my opinion the solution is A.(3,-1/2)
4 0
3 years ago
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