All categories

3 years ago

Look at the picture. What is the solution WORTH 10 POINTS

Mathematics

1 answer:

Ivanshal [37]3 years ago

3 0

The coordinates of the point intersection of lines (-1, -1)

If you want solve:

y = -2x - 3, y = 3x + 2

-2x - 3 = 3x + 2 |+3

-2x = 3x + 5 |-3x

-5x = 5 |:(-5)

x = -1

Put the value of x to the first equation:

y = (-2)(-1) - 3 = 2 - 3 = -1

x = -1, y = -1

You might be interested in

Five times a number minus eight is the same as ten more than three times a number. Find the number.

serious [3.7K]

Answer:

Step-by-step explanation:

5(n-8)=3n+10

5n-40=3n+10

5n=3n+50

2n=50

n=25

5 0

3 years ago

The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 co

Lapatulllka [165]

Answer:

<h2>The demand at a price of $1.50 per cone is 44 cones</h2>

Step-by-step explanation:

let us apply the interpolation formula to solve this problem

we have

$\frac{y-y1}{x-x1} =\frac{y2-y1}{x2-x1}$

Now let us set the values to the notation above

x= $1.20

x1= $2.20

x2= $1.50

y = 50 cones

y1= 30 cones

y2= ?

$y2= \frac{(y-y1)}{(x-x1)} (x2-x1)+y1$

Substituting our given data we have

$y2= \frac{(50-30)}{(1.2-2.2)} (1.5-2.2)+30\\\\y2= \frac{20}{-1} (-0.7)+30\\\\y2= (20*0.7)+30\\y2= 14+30\\y2= 44$

the demand at a price of $1.50 per cone is 44 cones

4 0

3 years ago

What is a parallel line to y= -2/3x+3

Natali5045456 [20]

Answer:

-2/3

Step-by-step explanation:

because this is in slope intercept form, m is the slope, so in this case -2/3 is the slope

parallel lines always have the same slope and different y-intercepts

a parallel line could be y=-2/3 +15

4 0

3 years ago

Max spends three times as long on his math homework than he does on his science homework. If he spent total of 64 minutes on mat

den301095 [7]

Let X = science homework.

Then math homework would be 3x ( three times as long).

Now you have math plus science = 64 minutes:

x + 3x = 64

Combine like terms:

4x = 64

Divide both sides by 4:

x = 64 / 4

x = 16

He spent 16 minutes on science and 48 minutes on math.

6 0

3 years ago

Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

Sophie [7]

Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

$\frac{sin30}{4}=\frac{sin18.6}{c'}$

$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

5 0

3 years ago