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schepotkina [342]

2 years ago

15

The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr

atic equation in standard form for the equation that would represent the area of the rectangle. Let x equal the length of the rectangle.

1 answer:

mamaluj [8]2 years ago

5 0

In this case you divide 170 by 7 which = 24.29 so 24.29 is your answer, good luck.

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Find the equation of the line that passes through (3,1) and is parallel to y=2x+3

ICE Princess25 [194]

Answer:

y -1 = 2(x -3)

Step-by-step explanation:

The given equation is in slope-intercept form:

y = mx +b . . . . line with slope m and y-intercept b

y = 2x +3 . . . . . line with slope 2 and y-intercept 3

__

A parallel line will have the same slope. Since you are given a point, it is convenient to use the point-slope form for the equation you want:

y -k = m(x -h) . . . . . line with slope m through point (h, k)

y -1 = 2(x -3) . . . . . . line with slope 2 through point (3, 1)

__

<em>Additional comment</em>

If you want the slope-intercept form you can solve for y:

y = 2(x -3) +1 = 2x -6 +1

y = 2x -5 . . . . . slope-intercept form of the parallel line

7 0

1 year ago

Jace is a songwriter who collects royalties in his songs whenever they are played in a commercial or a movie. Jace will earn $50

VashaNatasha [74]

Jace's song were played on 8 commercials and 2 movies

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

<em>Elimination Method</em>
<em>Substitution Method</em>
<em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

<em>Let:</em>

<em>Number of Commercials = C</em>

<em>Number of Movies = M</em>

$\texttt{ }$

<em>Jaces songs were played on 6 more commercials than movies.</em>

$\boxed{C = 6 + M}$ → <em>Equation 1</em>

$\texttt{ }$

<em>Jace will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie.</em>

<em>His total earnings in the royalties from all commercials and movies was $680.</em>

$\boxed{50C + 140M = 680}$ → <em>Equation 2</em>

$\texttt{ }$

<em>Equation 1 ↔ Equation 2 :</em>

$50C + 140M = 680$

$50 ( 6 + M ) + 140M = 680$

$300 + 50M + 140M = 680$

$190M = 680 - 300$

$190M = 380$

$M = 380 \div 190$

$M = 2$

$\texttt{ }$

$C = 6 + M$

$C = 6 + 2$

$C = 8$

$\texttt{ }$

<h2>Conclusion:</h2>

The number of commercials and the number of movies in which Jaces songs where played is respectively 8 and 2

$\texttt{ }$

<h3>Learn more</h3>

Perimeter of Rectangle : brainly.com/question/12826246
Elimination Method : brainly.com/question/11233927
Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

5 0

2 years ago

I have 2 similar right angle triangles, CDE and ADG. The length of CDE's hypotenuse is 1/3 the length of ADG's hypotenuse. The a

Orlov [11]

<span>lengths are in ratio 1:3
areas are in ratio
1 : 3</span>²<span> = 1: 9
area of ADG = 9 x 42 = 378 </span>

8 0

3 years ago

To the nearest tenth -4 -2 1,3 find PQ

Triss [41]

Not really understanding what you are asking

4 0

2 years ago

How to do this question plz

MrRissso [65]

Answer:

10:1

90 red counters

30 blue

1/3 of 90 =30

80% of 30 =24

90-30 =60 remaining red counters

30-24 =6 remaining blue counters

= 60:6 simplest form is 10:1

8 0

2 years ago