find the value lamda...​

Answer:

[tex]y = -\frac{2}{5} x-6[/tex]

Step-by-step explanation:

1) First, find the slope of the line. Use the slope formula [tex]m =\frac{y_2-y_1}{x_2-x_1}[/tex]. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):

[tex]m = \frac{(-6)-(-4)}{(0)-(-5)} \\m = \frac{-6+4}{0+5} \\m = \frac{-2}{5} \\[/tex]  

So, the slope of the line is [tex]-\frac{2}{5}[/tex].

2) Next, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the [tex]m[/tex], [tex]x_1[/tex] and [tex]y_1[/tex] into the formula.

Since [tex]m[/tex] represents the slope, substitute [tex]-\frac{2}{5}[/tex]  in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:

[tex]y-(-6) = -\frac{2}{5} (x-(0))\\y + 6 = -\frac{2}{5} x\\y = -\frac{2}{5} x-6[/tex]

Answer:

Step-by-step explanation:

11x - 16 = -49

=> 11x = - 49 + 16

=> 11x = -33

[tex] = > x = \frac{ - 33}{11} [/tex]

=> x = -3 (Ans)

Answer:

x=-3

Step-by-step explanation:

1. Add 16 to both sides of the equation

11−16=−49

11−16+16=−49+16

2. Simplify.

IF you add the numbers you will get:

11x=-33

3. Divide both sides of the equation by the same term

11=−33

11/11=−33/11

4. Simplify.

x=-3

Hope this helps       :)

Answer:

Red, orange, yellow, green, cyan, blue and purple.

Step-by-step explanation:

The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.

Answer:

y= 3x+1

Step-by-step explanation:

(0,4) shows the y-intercept of +4

Use slope formula to find slope:

7-4/2-1 = 3/1 = 3

M (slope)= 3x

Answer:

y=3x+1

Since we know that the line is increasing by 3 and since when x is equal to zero, and y is equal to 1 we know that we will need to add 1.

So Y=3x+1

Answer:

(-8,-2) try it

Step-by-step explanation:

The constructions that could be accomplished with paper folding are:

To do the above, one can fold the paper so that the two endpoints of the line segment can be seen on top of each other.

A segment perpendicular to another segment can be done using paper folding by folding the paper so that the paper is folded via the point and the segment that is seen on top of its own self.

Therefore, The constructions that could be accomplished with paper folding are:

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Answer:

Step-by-step explanation:

45+x>48

x>3

Answer:

45+x>48

x>3

Step-by-step explanation:

Good Luck! <3

Answer:

16 sundaes

Step-by-step explanation:

since one gallon is 8 pints, multiple it by 2 and you get 16.

Answer:

Step-by-step explanation:

wouldn't it be 12  meters? is this isn't what you need ill figure it out and edit this

Answer:

-4

Step-by-step explanation:

y = mx + b

Answer:

-4

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

So you line y=mx+b and y=-4x-8

-4 is replacing m so -4 is the slope

Hope this helps!

Answer:

141.3 (units³)

Step-by-step explanation:

formula for volume of a cone = V=1/3πr²h

1/3* 3.14 * 3² * 15 = 141.3

hope this helps!

Answer:

You should agree.

Step-by-step explanation:

The absolute value if by definition "the magnitude of a real number without regard to its sign" this means if he earns 300 points on the next question. Yes Aaron's absolute value of points would be 300.

Answer: at 4 months the cost for each gym is $250

Step-by-step explanation:

At 4 month, the cost for each gym is $250

The y axis of the graph represents the membership cost and the x axis represent the number of month.

The lines representing gym A and B intersect at (4, 250).

The point where the lines intersect is when the cost and the month for each gym are the same.

Therefore, at 4 month, the cost for each gym is $250

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Answer:

25 cans

Step-by-step explanation:

Let the side length of the cube be s m

Therefore,

[tex] {s}^{3} = 2197 \\ \\ {s}^{3} = {13}^{3} \\ \\ \implies \: s = 13 \: m \\ \\ total \: surface \: area \: of \: cube \\ = 6 {s}^{2} \\ = 6( {13})^{2} \\ = 6 \times 169 \\ = 1,014 \: {m}^{2} \\ \\ no \: of \: cans \: of \: paint \: needed \\ = \frac{1014}{40} \\ = 25.35 \: \\ \approx \: 25[/tex]

Answer:

2enty 2

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

You have to isolate for x. This means you need to somehow get x on one side of the equation all alone. In this case it is x-9=21 which means some unknown number x with 9 subtracted from it is equal to 21. When we bring the -9 over to the other side to get the x all alone, we have to switch the sign of the -9 so it becomes +9. This means x=21+9, and if you add that you'll get 30!

Answer:

A

Step-by-step explanation:

22-10=12

total cost=5+12×0.50

=5+6

=11 $

Answer:

Step-by-step explanation:

Sale price:

your sale price should be, $195.25

the origonal price is, $355

sale happens = 45%

Sale price:

$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25

Hope this helps!

Answer:

5^11

Step-by-step explanation:

The simplification form of the given expression 5² · 5⁹ would be  5¹¹ which is the correct answer that would be an option (A).

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have to determine the simplification form of the expression 5² · 5⁹.

The given exponential expression below as:

⇒  5² · 5⁹

Apply the multiplication operation, and add the exponents because the same base of the exponential expression,

⇒  5² ⁺⁹

⇒  5¹¹

Therefore, the simplification form of the given expression would be  5¹¹.

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Option A,  DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the given triangles

In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.

In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.

As the two triangles are similar.

DE/AB=6/3=2

EF/BC=8/4=2

DF/AC=10/5=2

So DE/AB=EF/BC=DF/AC=2

Hence, Option A DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

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Answer:

slope of line one: 2/4 or 1/2

line two: 6/1

line 3: 6/3 or 2

line 4: -4/1

to find the slope of a line, you have to use rise/run the number of space going along the y-axis is the rise, and the space of the points on the x-axis is the run.

hope this helps!

Answer:

7.5

Step-by-step explanation:

The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5

To check your answer add 7.5 four times since the square has 4 equal sides.

7.5 + 7.5 = 15

15 + 7.5 = 22.5

22.5 + 7.5 = 30

Answer:

The answer is 3.

Step-by-step explanation:

If z equals 2 then you are supposed to multiply 2 by 3 and then subtract 3 since x equals 3.

Answer:

the missing side lenght = x

0 < x < 15+10

0 < x < 25 cm

Answer:

5.41

Step-by-step explanation: