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3 years ago

Write an equation for the line that is parallel to the given line and passes through the given point.

Mathematics

1 answer:

timama [110]3 years ago

4 0

D:Y=-1/2+2, is right

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Two adjacent angles form a complementary relationship. One angle is twelve more than twice the other angle. Draw a picture to re

Anon25 [30]

Answer:

The angles are 26 and 64

Step-by-step explanation:

When two angles are complementary, what this means is that the add up to 90 degrees

Now, let’s say one of the angles is x, the other angle is 12 more than twice it; mathematically that would be 2x + 12

Since they add up to be 90, we have

x + 2x + 12 = 90

3x + 12 = 90

3x = 90-12

3x = 78

x = 78/3

x = 26

The other angle is 2x + 12 = 2(26) + 12 = 52 + 12 = 64

7 0

2 years ago

I need the answer for this exact question

denis23 [38]

Answer:

$y=\frac{7}{2}x-20$

Step-by-step explanation:

Let the equation of the line be $y-y_1=m(x-x_1)$ where, 'm' is its slope and $(x_1,y_1)$ is a point on it.

Given:

The equation of a known line is:

$y=-\frac{2}{7}x+9$

A point on the unknown line is:

$(x_1,y_1)=(4,-6)$

Both the lines are perpendicular to each other.

Now, the slope of the known line is given by the coefficient of 'x'. Therefore, the slope of the known line is $m_1=-\frac{2}{7}$

When two lines are perpendicular, the product of their slopes is equal to -1.

Therefore,

$m\cdot m_1=-1\\m=-\frac{1}{m_1}\\m=-\frac{1}{\frac{-2}{7} }=\frac{7}{2}$

Therefore, the equation of the unknown line is determined by plugging in all the given values. This gives,

$y-(-6))=\frac{7}{2}(x-4)\\y+6=\frac{7}{2}x-14\\y=\frac{7}{2}x-14-6\\\\y=\frac{7}{2}x-20$

The equation of a line perpendicular to the given line and passing through (4, -6) is $y=\frac{7}{2}x-20$ .

3 0

2 years ago

Find f(2) if f(x)= (x +1)^2

Drupady [299]

Answer:

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

6 0

1 year ago

Read 2 more answers

Carlos says that 17.43 divided by 100 is the same as 174.3 times 0.01 Is he correct? Explain

Leokris [45]

Answer:

Is not correct

Step-by-step explanation:

Step 1

Find $17.43$ divided by $100$

$\frac{17.43}{100}=0.1743$

Step 2

Find $174.3$ times $0.01$

$174.3*0.01=\frac{174.3}{100}=1.743$

Compare

$0.1743\neq 1.743$

7 0

2 years ago

Read 2 more answers

Subtract. −3 3/8−7/8 Enter your answer, in simplest form, in the box.

sp2606 [1]

Answer:

-4 1/4

Step-by-step explanation:

7 0

3 years ago