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3 years ago

What's the y intercept of the following equation? 10y = 20x + 30

Mathematics

1 answer:

nikklg [1K]3 years ago

3 0

Answer:

$10y = 20y + 30 \\ y = 2y + 3 \\ y \: intercep = 3$

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If the line through (- 2,4)and (5, d)is perpendicular to the graph of y = 3x + 4.Find the value of d.

kumpel [21]

Answer:

$d = \frac{5}{3}$

Step-by-step explanation:

In the slope- intercept form (y= mx +c), the coefficient of x is the slope of the graph.

y= 3x +4

Slope of given line= 3

$\boxed{slope = \frac{y1 - y2}{x1 - x2} }$

The product of the slopes of perpendicular lines is -1.

$(3)[ \frac{d - 4}{5 - ( - 2)} ] = - 1$

Divide both sides by 3:

$\frac{d - 4}{5 + 2} = \frac{ - 1}{3}$

$\frac{d - 4}{7} = \frac{ - 1}{3}$

Cross multiply:

3(d -4)= -1(7)

Expand:

3d -12= -7

Add 12 on both sides:

3d= 12 -7

3d= 5

Divide both sides by 3:

$d = \frac{5}{3}$

8 0

3 years ago

Is the function odd, even or neither?

iren2701 [21]

Answer is: even

This function’s graph is symmetric with respect to the y-axis therefore, this function is even.

7 0

2 years ago

Fill in the blank.

Amiraneli [1.4K]

Answer: x ≈ 18 ft

Step-by-step explanation:

We will use our trig knowledge to solve this.

The man is standing 10 ft away, but we also need to add the 5 ft shadow as well as that is a point on our triangle.

We can set up a simple trig equation of: tan(50) = x/15

x being the height of the lamppost.

Now we solve.

tan(50) = 1.1918

1.1918 *15 = x

x = 17.876

Now round to the nearest foot.

x ≈ 18 ft

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2 years ago

what is the first step used in solving this equation 2x+9y=28 and 3x-3y=14. Identify the variable that will be solved for when y

umka2103 [35]

Answer:

Multiply the second equation's terms by 3. Solve for x.

Step-by-step explanation:

You will get:

2x+9y=28

9x-9y=42

Add them to get:

11x=70.

You can solve from there.

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3 years ago

You are at the edge of a cliff

gavmur [86]

Answer:

tell the teacher u ar at home

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2 years ago