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Viefleur [7K]
2 years ago
6

Write an equation in point-slope form for the line that has a slope of 45 and contains the point (−5,−3).

Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

y+3=45(x+5)

Step-by-step explanation:

Hi there!

Point-Slope Form:

y-y1=m(x-x1)

Where

y1 stands for the y-coordinate of the point

m stands for the slope of the line

x1 stands for the x-coordinate of the point

In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.

Plug in the values and solve:

y-y1=m(x-x1)

y-(-3)=45(x-(-5)

y+3=45(x+5)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

\bf{MysteriousSparkle}

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Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
Virty [35]

Answer:

V1 = 60 km/h

V2 = 40 Km/h

Step-by-step explanation:

The speed of an object is defined as

Speed =  distance / time

Let

V1 be the speed of the faster car

V2 be the speed of the other car

t1 the time it took for the first car to arrive

t2 the time it took for the second car to arrive

d1 the distance traveled by first car

d2 the distance traveled by second car

We know thanks to the problem that

V1 = V2 + 20 Km/h

t1 = t2 - 1 hour

d1 = d2 = 120 Km

d1 = V1 * t1

d2 = V2* t2

V1 * t1 = V2* t2

V1* t1 = (V1 -20)*(t1 +1)

The system of equations

(V1 -20)*(t1 +1) = 120

V1 * t1 = 120

120 + (120/t1) -20*t1 = 140

(120/t1) -20*t1  = 20

Which gives,

t1 = 2

This means

V1 = 60 km/h

V2 = V1 - 20 Km/h =  40 Km/h

6 0
3 years ago
Which undefined term can contain parallel lines?
dusya [7]
Point I think is the anwser
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3 years ago
Given g(x)=5x+4, solve for x when g(x)=9
Alex

Answer:

The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 5x + 4

g(x) = 9

<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Substitute in function value:                                                                           9 = 5x + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                       5 = 5x
  3. [Division Property of Equality] Divide 5 on both sides:                                1 = x
  4. Rewrite:                                                                                                            x = 1

∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.

---

Topic: Algebra I

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Brrunno [24]

Answer:

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Step-by-step explanation:

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Answer: If the measures of the corresponding sides of two triangles are proportional then the triangles are similar. Likewise if the measures of two sides in one triangle are proportional to the corresponding sides in another triangle and the including angles are congruent then the triangles are similar.

Step-by-step explanation:

7 0
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