All categories

3 years ago

Lines y = -x+2 and y=x+1

Mathematics

1 answer:

nataly862011 [7]3 years ago

3 0

$\\ \sf\Rrightarrow y=-x+2$ (1)

$\\ \sf\Rrightarrow y=x+1$ (2)

Now

$\\ \sf\Rrightarrow -x+2=x+1$

$\\ \sf\Rrightarrow -2x=-1$

$\\ \sf\Rrightarrow x=0.5$

Put in eq(2)

$\\ \sf\Rrightarrow y=0.5+1$

$\\ \sf\Rrightarrow y=1.5$

You might be interested in

Which graph represents g(x)=−(x−3)2−5 ?

BaLLatris [955]

The graph is the C one

3 0

3 years ago

Read 2 more answers

The line y = 2x-5 cuts the x and y axes at point A and B respectively.

neonofarm [45]

To find the coordinates of points A and B, go to Desmos and graph the given equation.

The word gradient means slope.

The slope is the coefficient of x in the equation. See it?

The gradient is 2.

8 0

3 years ago

Prove that congruent triangles have congruent corresponding angle bisectors.

worty [1.4K]

When two triangles are congruent, everything in them is congruent (same). So, the angle bisector of one triangle is congruent to the corresponding angle bisector of the other triangle.

8 0

3 years ago

Consider the following equation. Select the equation that has the same solution as the given equation above. 12w-27=-34+14w

Fed [463]

12w-27 = -34+14w

We need to keep variables on one side and constant on other side . Here variables are 12w and 14w and constants are -27 and -34 .

So we need to move -34 to left side and 12 w to right side . And for that, we need to add 34 to both sides and subtract 12 w to both sides.

12w-27+34-12w=-34+14w+34-12w

7= 2w

Now we need to get rid of 2. So we divide both sides by 2 , and on doing that, we will get

$w=\frac{7}{2}$

4 0

4 years ago

Read 2 more answers

A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car

motikmotik

Answer:

0.65

Step-by-step explanation:

When we have a finite number of events

$x_1,x_2,...,x_n$

with its corresponding probabilities

$p_1,p_2,...,p_n$ with $p_1+p_2+...+p_n=1$

then the expected value of the distribution is given by

$x_1.p_1+x_2.p_2+...+x_n.p_n$

In our case, we have

$x_1=0,x_2=1,x_3=2,x_4=3$

with probabilities

$p_1=0.58,p_2=0.24,p_3=0.13,p_4=0.05$

So, the expected value is

E = 0*0.58+1*0.24+2*0.13+3*0.05 = 0.65

8 0

3 years ago