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2 years ago

8

From the graph the solution of the equations y = -3x and y = x+8

1 answer:

MakcuM [25]2 years ago

8 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The solution of the equations is the coordinates of the point where the two lines intersects, so the required solution is :

$( - 2, 6)$

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What is 34×67 what is it

g100num [7]

Answer:

2278

Step-by-step explanation:

6 0

2 years ago

In the xy-plane, line l has a y-intercept of -13 and is perpendicular to the line with the equation y=-2/3x. If the point (10, b

AlekseyPX

Answer:

The value of $b$ is 2.

Step-by-step explanation:

The standard form of the equation of the line is of the form:

$y = m\cdot x + k$

Where:

$x$ , $y$ - Independent and dependent variable, dimensionless.

$m$ - Slope, dimensionless.

$k$ - y-intercept, dimensionless.

Given that line $l$ is perpendicular to $y = -\frac{2}{3}\cdot y$ , the slope is equal to:

$m = -\frac{1}{m_{\perp}}$

Where $m_{\perp}$ is the slope of the perpendicular line, dimensionless.

If $m_{\perp} = -\frac{2}{3}$ , then:

$m = -\frac{1}{\left(-\frac{2}{3}\right) }$

$m = \frac{3}{2}$

If $x = 0$ and $y = -13$ , the y-intercept of the line $l$ is:

$-13 = \frac{3}{2}\cdot (0) +k$

$k = -13$

The equation of the line $l$ is $y = \frac{3}{2}\cdot x -13$ . Given that $y = b$ and $x = 10$ , the value of $b$ is:

$b = \frac{3}{2}\cdot (10)-13$

$b = 15-13$

$b = 2$

The value of $b$ is 2.

5 0

2 years ago

What is the result of subtracting the second equation from the first?

Greeley [361]

8x-4y=-4
4y=5+3x

8x(5+3x) =-4

X= 1/5

4y=5+3 x 1/5

Y=7/5

X=1/5 Y=7/5

5 0

2 years ago

7x+5y=19 -7x-2y=-16 What is the solution of the system

Andrei [34K]

7x+5y= 19
-7x-2y=-16 add because its a negative
-----------------
3y=3
y=1
then you find x by placing 1 for y

7x+5(1)=19
7x=14
x=2

(2,1)

6 0

2 years ago

Count the possible combinations of r letters chosen from the given list P.Q,R,S,T,U; r = 2

Tasya [4]

Answer:

<h2>There are 30 possible combinations of picking two letters.</h2>

Step-by-step explanation:

The combinations are defined as

$C^{r}_{n}=\frac{n!}{(n-r)!}$

Where $n$ is the total number of elements and $r$ is the number of letter we are gonna picke, which is two. Using this information, we have

$C^{2}_{6}=\frac{6!}{(6-2)!}=\frac{6!}{4!}=\frac{6 \times 5 \times 4!}{4!}=30$

Therefore, there are 30 possible combinations of picking two letters.

4 0

2 years ago