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jeyben [28]
3 years ago
6

The product of the slopes of perpendicular lines is −1. Which function represents a line that is perpendicular to y = −6x + 7?

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0
The perpendicular line to y = -6x + 7 will have a slope that is the reciprocal of the slope of this line with the sign flipped to the opposite so if the slope is m = -6 for this, this the perpendicular line will have a slope of m = 1 / 6.
Any line with the form y = (1/6)x + b will be perpendicular
kati45 [8]3 years ago
4 0

Answer:

y =  1/ 6 x + 4

Step-by-step explanation:

Ik this is late but its the right answer for UsaTestPrep

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4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

7 0
2 years ago
Graycie and her 6 friends are using 293 beads to make bracelets. They share the beads evenly but some were left over. How many b
FrozenT [24]

Answer:

47

Step-by-step explanation:

3 0
3 years ago
Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters?
yan [13]

Answer:

100 million

Step-by-step explanation:

7 0
3 years ago
In f(x) = 2x2 − 8x − 10, the y-intercept is ? at ? and the x-intercepts are (-1, 0) and ? .
IgorLugansk [536]
<h2>1.  y-intercept</h2>

\boxed{(0,-10)}

The quadratic function f(x)=2x^22-8x-10 represents a parabola. In fact, the graph of a quadratic function is a special type of U-shaped curve called a parabola. To find the y intercept, we set x=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ x=0 \rightarrow f(0)=-10 \\ \\ Then \ y-intercept: \\ \\ (0,-10)

<h2>2.  x-intercepts</h2>

\boxed{(-1,0) \ and \ (5,0)}

To find the other x-intercept, we must set y=0 as follows:

f(x)=2x^2-8x-10 \\ \\ If \ y=0 \rightarrow 2x^2-8x-10=0 \\ \\ Using \ the \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \therefore x=\frac{-(-8) \pm \sqrt{(-b)^2-4(2)(-10)}}{2(2)} \\ \\ \therefore x_{1}=-1 \ and \ x_{2}=5

Therefore, the other x-intercept is (5,0). You can see both the y-intercept and the x-intercepts in the figure below.

8 0
3 years ago
Write an equivalent expression for 4(2x+5
Verizon [17]
4(2x +5) = (8x + 20) 

8x =20 is an equivalent expression
 

8 0
3 years ago
Read 2 more answers
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