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iren [92.7K]
3 years ago
6

Two lines, C and D, are represented by the following equations:

Mathematics
2 answers:
guapka [62]3 years ago
8 0

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

The meaning of "solution to the system of equations" is that both lines intersect at the solution point. That is, they both pass through that point.

Natasha2012 [34]3 years ago
3 0

Answer:

(−2, 3), because both lines pass through this point

Step-by-step explanation:

Line C: y = x + 5  

Line D: y = −2x − 1

Substitute x+5 for y in second equation

x + 5 = -2x -1

add 2x on both sides

3x + 5= -1

subtract 5 from both sides'

3x = -6

divide both sides by 3

x= -2

Now plug in -2 for x in y=x+5

y=-2+5= 3

so x= -2, y= 3

both lines satisfies the point (-2,3) (intersection point)

(−2, 3), because both lines pass through this point

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Answer:

Your answer should be 90. If not sorry.

Step-by-step explanation:

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Solve for x. 4(7x−3)−6=6−4(3x−7) Enter your answer in the box.
olasank [31]

4(7x−3)−6=6−4(3x−7)

Distributive property

28x - 12 - 6 = 6 - 12x + 28

28x - 18 = -12x + 34

28x + 12x = 34 + 18

40x = 52

   x = 52/40

   x = 13/10

or

   x = 1 3/10 (mixed number:  1 and 3/10)


5 0
3 years ago
From the diagram below, if the tree is 34 ft. tall, and the angle of elevation from point B to the top of the tree is 26 °, find
lana66690 [7]

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

<h3>What is the distance between the tree and point B?</h3>

Given the data in the question;

  • Height of tree opposite angle of elevation = 34ft
  • Angle of elevation θ = 26°
  • Distance between tree and point B| Adjacent = ?

Since the scenario form a right angle triangle, we use trig ratio.

tanθ = Opposite / Adjacent

tan( 26° ) = 34ft / x

We solve for x
x = 34ft / tan( 26° )

x = 34ft / 0.4877

x = 70ft

Given the height of the tree and the angle of elevation from point B, the distance between the tree is from point B is approximately 70ft.

Learn more about trigonometric ratio here: brainly.com/question/28038732

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3 0
1 year ago
Dos personas A y B , se encuentran en la orilla de un río, separadas entre sí 200 m y en la orilla opuesta en el punto C, se enc
Kryger [21]

Answer:

La distancia de C con respecto a A es de 197.788 metros.

Step-by-step explanation:

A manera de imagen adjunta construimos una representación del enunciado del problema, la cual representa a un triángulo cuyos tres ángulos son conocidos y la longitud del segmento AB, medida en metros, son conocidos. Por medio de la Ley del Seno podemos calcular la longitud del segmento AC (distancia de C con respecto a A), medida en metros:

\frac{AB}{\sin C} = \frac{AC}{\sin B} (1)

Si sabemos que B = 57^{\circ}, C = 58^{\circ} y AB = 200\,m, entonces la longitud del segmento AC es:

AC = AB\cdot \left(\frac{\sin B}{\sin C} \right)

AC = (200\,m)\cdot \left(\frac{\sin 57^{\circ}}{\sin 58^{\circ}} \right)

AC = 197.788\,m

La distancia de C con respecto a A es de 197.788 metros.

7 0
2 years ago
PLEASE HELP!
rusak2 [61]
A.) 0.35x + 42 ≤ 70

She wants the truck for one day, which will cost $45. We don't know how far the truck is traveling so that is the variable. She cannot spend more than $70, since that is her budget.

b.) Solve for x using the above equation:

0.35x + 42 ≤ 70
0.35x ≤ 28
x ≤ 80

Judy can drive 80 miles
4 0
3 years ago
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