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Olegator [25]
3 years ago
9

Find the slope of the line

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
4 0

Your answer is b. -1

the line is going down so it's negative and it's going down one grid block each time it goes down

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Write this expression in standard form by collecting like terms:
ExtremeBDS [4]

9 (a - b) + 5 (2a - 2b)

mutiply the first bracket by 9

(9)(a)= 9a

(9)(-b)= -9b

mutiply the second bracket by 5

(5)(2a)=10a

(5)(-2b)= -10b

9a-9b+10a-10b

9a+10a-9b-10b ( combine like terms<em>)</em>

Answer : C. 19a - 19b

5 0
3 years ago
Consider the graph of function f<br><br> Which is the graph of the function g(x) = f(−x)?
yawa3891 [41]

Answer:  

f(-x) is a reflection of f(x) in the y-axis

Step-by-step explanation:

–f (x) reflects the function in the x-axis (that is, upside-down). f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).

5 0
3 years ago
I don’t know what i’m doing!
Colt1911 [192]

Answer:

  • angle list = measure
  • 2, 4 = 35°
  • 3, 7, 9 = 52°
  • 11 = 87°
  • 1, 5, 10, 12 = 93°
  • 6, 8 = 128°

Step-by-step explanation:

As with a lot of math, it helps to understand the vocabulary. That helps you understand what is being said when the words are used to form a thought.

A "transversal" is a line that cuts across two parallel lines. At each intersection, 4 angles are formed. The angles are given different names, so we can talk about pairs of them being congruent.

The four angles between the parallel lines are called <em>interior</em> angles. The four angles outside the parallel lines are called <em>exterior</em> angles. When the angles are on opposite sides of the transversal, they are <em>alternate</em> angles.

In the diagram, we can identify the following pairs in each category:

  • alternate interior: {3, 9}, {5, 10}
  • alternate exterior: {1, 12}, {7, 52°}

When interior angles are on the same side of the transversal, they are called <em>same-side</em> or <em>consecutive</em> interior angles. Exterior angles cannot be consecutive. Here are some in that category:

  • consecutive interior: {3, 6}, {5, 87°}

Angles created by a ray extending from a line are a <em>linear pair</em>. Angles of a linear pair are supplementary, that is, their sum is 180°. Angles formed by two intersecting lines, sharing only the same vertex, are called <em>vertical</em> angles. Vertical angles are both supplementary to the other angle of the linear pair of which they are a part. Since they are supplementary to the same angle, they are congruent (have the same measure). Here are some linear pairs and some vertical angles in the figure:

  • linear pairs: {6, 7}, {7, 8}, {8, 9}, {6, 9}, {10, 87°}, {10, 11}, {11, 12}, {12, 87°}
  • vertical angles: {1, 5}, {2, 4}, {3, 52°}, {6, 8}, {7, 9}, {10, 12}, {11, 87°}

<em>Corresponding</em> angles are ones that are in the same direction from the point of intersection. Some of those pairs are ...

  • corresponding angles: {1, 10}, {5, 12}, {3, 7}, {9, 52°}

Here are the relations that help you work this problem:

  • alternate interior angles are congruent
  • alternate exterior angles are congruent
  • vertical angles are congruent
  • corresponding angles are congruent
  • a linear pair is supplementary
  • consecutive interior angles are supplementary

__

So far, we haven't mentioned much about the angles where lines j, k, l all meet. Transversal j cuts some of the angles created by transversal k, and vice versa. So, there are some angle sum relations that also apply to corresponding angles:

  • ∠1+∠2≅∠6
  • ∠2+52°≅87°
  • ∠3+∠4≅∠11
  • ∠4+∠5≅∠8

_____

With an awareness of all of the above, you can figure the measures of all of the angles in the diagram.

  ∠1 ≅ ∠5 ≅ ∠10 ≅ ∠12 = 180° -87° = 93°

  ∠2+52° = 87°  ⇒  ∠2 ≅ ∠4 = 87° -52° = 35°

  ∠3 ≅ ∠7 ≅ ∠9 ≅ 52°

  ∠6 ≅ ∠8 = 180° -∠7 = 128°

  ∠11 ≅ 87°

5 0
3 years ago
Elena rode her bike 2 miles in 10 minutes. She rode at a constant speed. Complete the table to show the time it took her to trav
harkovskaia [24]

1 mile per 5 minutes

2:10

3:15

4:20 (Nice)

5:25

6:30

7:35

8:40

9:45

10:50

so on and so forth.

8 0
3 years ago
Read 2 more answers
Let f(x)=x+3 and g(x)=1/x. The graph of (f*g)(x) is shown below.
Vlad [161]
For this case we have the following functions:
 f (x) = x + 3&#10;&#10;g (x) = 1 / x When composing the functions we have:
 (fog) (x) = f (g (x))&#10;
 Substituting values we have:
 (fog) (x) = ((1 / x) +3)&#10;
 Rewriting:
 (fog) (x) = 1 / x + 3&#10;
 The function has a horizontal asymptote at y = 3.
 Therefore, the range of the function is all reals minus y = 3.
 Answer:
 
option 3
3 0
3 years ago
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