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3 years ago

With the figure below complete the following proofs.

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer:

by the question

statement. reason

1.<ABD=<ADB. given

2<CBD=<CDB. given

3 <ABD +<CBD=. adding statement 1

<ADB+<CDB. and second

4.<ABC=<ADC. by whole part axiom

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A line passes through the point (1, - 6) and has a slope of 8. Write an equation in slope-intercept form for this line.

Annette [7]

Answer:

$\boxed {\boxed {\sf y=8x-14}}$

Step-by-step explanation:

We are asked to find the equation of a line in slope-intercept form. We are given a point and a slope, so we can use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of the line is 8 and it passes through the point (1, -6). Therefore,

m= 8
x₁= 1
y₁= -6

Substitute these values into the formula.

$y- (-6) = 8(x-1)$

Remember that 2 back to back subtraction signs are the same as an addition sign.

$y+6=8(x-1)$

The line must be in slope-intercept form or y=mx+b (m is the slope and b is the y-intercept. We must isolate the variable y on one side of the equation. First, distribute on the right side of the equation. Multiply each term inside the parentheses by 8.

$y+6 = (8*x) + (8*-1)$

$y+6= (8x)+ (-8)$

$y+6=8x-8$

6 is being added to y. The inverse operation of addition is subtraction, so we subtract 6 from both sides of the equation.

$y+6-6=8x-8-6$

$y=8x-8-6$

$y= 8x-14$

The equation of the line in slope-intercept form is <u>y=8x-14</u>. The slope is 8 and the y-intercept is -14.

7 0

3 years ago

Read 2 more answers

There are 12 boys and 14 girls in a class. One of the students is selected at random to represent the class at student council.

Tema [17]

Answer:

Step-by-step explanation:

8 0

4 years ago

8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.

miss Akunina [59]

Answer:

should be B

Step-by-step explanation:

however tax rate is different in different states sooo

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3 years ago

A gear with a diameter of 12.0 inches makes 35 revolutions every three minutes. Find the linear and angular velocities of a poin

alina1380 [7]

Answer:

Angular velocity: $\omega = \frac{7\pi}{18} \,\frac{rad}{s}$ ( $1.222\,\frac{rad}{s}$ )

Linear velocity: $v = \frac{14\pi}{3}\,\frac{m}{s}$ ( $14.661\,\frac{m}{s}$ )

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular ( $\omega$ ), in radians per second, and linear velocities ( $v$ ), in inches per second, of a point on the outer edge of the element are, respectively: