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2 years ago

Can you please help me ASAP

Mathematics

1 answer:

Tanya [424]2 years ago

4 0

Answer: 30

Step-by-step explanation:

105 + 45 =150

180 - 150 = 30

30 +90 = 120

180 - 120 = 60

2x = 60

x =30

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murzikaleks [220]

Answer:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Step-by-step explanation:

Slope-intercept form of a linear equation:

$\boxed{y=mx+b}$

where:

m is the slope.
b is the y-intercept (where the line crosses the y-axis).

Slope formula

$\boxed{\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}}$

Equation 1

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(-1, 6)$

$\textsf{Let }(x_2,y_2)=(0, 1)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-6}{0-(-1)}=-5$

From inspection of the graph, the line crosses the y-axis at y = 1 and so the y-intercept is 1.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=-5x+1$

Equation 2

Define two points on the line:

$\textsf{Let }(x_1,y_1)=(1, 1)$

$\textsf{Let }(x_2,y_2)=(0, -4)$

Substitute the defined points into the slope formula:

$\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-4-1}{0-1}=5$

From inspection of the graph, the line crosses the y-axis at y = -4 and so the y-intercept is -4.

Substitute the found slope and y-intercept into the slope-intercept formula to create an equation for the line:

$y=5x-4$

Conclusion

Therefore, the system of linear equations shown by the graph is:

$\begin{cases}y=-5x+1\\y=5x-4 \end{cases}$

Learn more about systems of linear equations here:

brainly.com/question/28164947

brainly.com/question/28093918

5 0

1 year ago

Read 2 more answers

It's due in 30 minutes!!

Sati [7]

1. 500000 cm
2. 16 pints
3. 480 mL
4. 2640 ft

8 0

2 years ago

Given fx) = 17- x2, what is the average rate of change in f(x) over the interval [1, 5]?

Andrei [34K]

Let [a, b] = the interval

The average rate of change can be found by using [f(b) - f(a)]/(b - a).

Let a = 1 and b = 5.

Let R = rate of change

17- x^2

R = [17 - 5^2] - [17 - 1^2]/(5 - 1)

R = [17 - 25] -[17 - 1]/4

R = [(-8) - (16)]/4

R = (-24)/4

R = -6

Done.

6 0

3 years ago

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Evaluate 7(-4) - -6| + |4| A. 13 B. -18 C. -30

o-na [289]

Answer:

Option c is correct .

Step-by-step explanation:

May this help you !!!!!!!!

8 0

3 years ago

If the base of a triangle is 20mm and the area of the triangle is 40m2. then what will be the height and how can we find it

Eddi Din [679]

Use the formula for area of a triangle:

Area = 1/2 x base x height.

Fill in what you know:

40 = 1/2 x 20 x height

Multiply both sides by 2:

80 = 20 x height

Divide both sides by 20

Height = 4 m

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2 years ago

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