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3 years ago

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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algol [13]

Answer:

Your answer should be 90. If not sorry.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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

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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

#SPJ1

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