All categories

2 years ago

Please helpppppp

Mathematics

2 answers:

Nadya [2.5K]2 years ago

6 0

(9x+1)=(7x+13)
2x+1=13
2x=12
x=6

7(6)+13
42+13
55

180-55
125
y= 125°

andre [41]2 years ago

3 0

Answer:

x = 6

y° = 125°

Step-by-step explanation:

9x + 1 and 7x + 13 are alternate angles and has same measurement

9x + 1 = 7x + 13

9x - 7x = 13 - 1

2x = 12

x = 6

y° and 7x + 13 are supplementary angles so their sum is 180°

7x + 13 ➡ 7×6 + 13 = 55°

55 + y° = 180 subtract 55 from both sides

y° = 125°

You might be interested in

What is the answer for <br> x^2-5x+6=0?

faltersainse [42]

The answer for that is
x= 3,2

5 0

3 years ago

What is the domain of the function f(x) =x+1/<br> X^2-6x+8?

SpyIntel [72]

Answer:

The domain of the function is all real values of x, except $x = 4$ and $x = 2$

Step-by-step explanation:

We are given the following function:

$f(x) = \frac{x+1}{x^2-6x+8}$

It's a fraction, so the domain is all the real values except those in which the denominator is 0.

Denominator:

Quadratic equation with $a = 1, b = -6, c = 8$

Using bhaskara, the denominator is 0 for these following values of x:

$\Delta = (-6)^2 - 4(1)(8) = 36-32 = 4$

$x_{1} = \frac{-(-6) + \sqrt{4}}{2} = 4$

$x_{2} = \frac{-(-6) - \sqrt{4}}{2} = 2$

The domain of the function is all real values of x, except $x = 4$ and $x = 2$

8 0

3 years ago

The Super Bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. Write both the explicit and recu

jarptica [38.1K]

Answer:

Explicit formula is $h(n)=4(0.85)^{n-1}$ .

Recursive formula is $h_n=0.85h_{n-1}$

Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

We can write the explicit formula as,

$h(n)=4(0.85)^{n-1}.$

Step 2

In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is $a_n=a_{n-1}\times r.$