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Ulleksa [173]
3 years ago
10

Y= -3x + 1 and y= x - 3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
3 0

Answer:

x= 1

y= -2

Step-by-step explanation:

equation (1): y= -3x+1

equation (2): y=x-3

solve the system of equations by substitution:

step1: sub ( x-3 ) for y in equation 1:

y = -3x+1

x-3 = -3x+1

step2: simplify the equation to get x:

(add 3 for both sides)

x = -3x+4

(add 3x for both sides)

4x = 4

(divide 4 from both sides)

x = 1

step3: sub the value of x (x=1) in equation 2:

y = x-3

y = 1-3

step4: solve the equation to get y:

y = -2

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Paula salió de su casa rumbo al trabajo avanzo 8km al este y 13km al norte. Si hubiera un camino recto desde su casa a su trabaj
zhannawk [14.2K]

Answer:

15.26km

Step-by-step explanation:

Con la informacion de la pregunta e hecho un diagrama de la situacion. Podemos ver en el diagrama que el recorido forma un triángulo rectángulo. Entonces para saber la distancia que recorreria por el camino recto desde su casa a su trabajo tendriamos que calcular el valor de x, que se puede calcular usando el teorema de pitagoras que es el siguiente.

a^{2} + b^{2} = c^{2}

donde a y b son el ancho y el alto del triangulo y el c seria x

8^{2} + 13^{2}  = x^{2}

64 + 169 = x^{2}

233 = x^{2}

15.26 = x

Finalmente, podemos ver que la distancia seria 15.26km

7 0
3 years ago
WILL GIVE BRAINLIEST
gladu [14]

Answer:

The perimeter of triangle is 33 meters.

Step-by-step explanation:

Given that the triangle is Equivalent Triangle where all angles and sides are equal, so we can assume that:

7x - 17 = 4x - 5

7x - 4x = 17 - 5

3x = 12

x = 12 ÷ 3

x = 4

OR:

4x - 5 = 2x + 3

4x - 2x = 3 + 5

2x = 8

x = 8 ÷ 2

x = 4

Substitute x = 4 into all expressions:

7x - 17 = 7(4) - 17 = 11 meters

4x - 5 = 4(4) - 5 = 11 meters

2x + 3 = 2(4) + 3 = 11 meters

In order to find out the perimeters, you have to add up all the sides:

P = 11 + 11 + 11

P = 33 meters

3 0
2 years ago
Read 2 more answers
A plane is descending onto the runway with an angle of depression of 55°. If it has 2.8 miles to go before landing (hypotenuse),
nalin [4]

Answer:

Option C is correct

Step-by-step explanation:

Given: A plane is descending onto the runway with an angle of depression of 55°. Also, it has 2.8 miles to go before landing.

To find: current altitude of the plane

Solution:

Consider the attached image.

In ΔABC,

\angle ACB=55^{\circ} (Alternate interior angles)

For any angle \theta,

tan \theta = side opposite to angle/side adjacent to angle

\tan C=\frac{AB}{BC}

Put \angle C=55^{\circ}\,,\,BC=2.8\,\,miles

AB=2.8\,\tan 55^{\circ}=3.999\approx 4\,\,miles

So, the current altitude of the plane is 4 miles.

Download pptx
4 0
3 years ago
Simplify the expression. write the answer using scientific notation 4(6.2x10^11)
Veseljchak [2.6K]
Answer:
= 2.48 × 10¹²
(scientific notation)

= 2.48e12
(scientific e notation)

= 2.48 × 10¹²
(engineering notation)
(trillion; prefix tera- (T))

= 2480000000000
<span>(real number)</span>
7 0
3 years ago
Read 2 more answers
How many times greater is 130,000,000 than 64,800,000?
insens350 [35]
\frac{130,000,000}{64,800,000} = \frac{1,300}{648} =\boxed {2.00617283951}
4 0
3 years ago
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