Which is an equation of the line containing the points (2,5) and (4,4) in standard form?

1 answer:

6 0

First, find the slope of the line thru these 2 pts:

5-4
m = --------- = -1/2
2 -4

Use the slope-intercept formula y = mx + b:

5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6

Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or

x + 2y = 12 (answer)

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If AD and BD are bisectors of CAB and CBA respectively. Find the sum of angles x and y.

olchik [2.2K]

The picture in the attached figure

step 1
we know that
It is given that AD and BD are bisectors of ∠CAB and ∠CBA respectively.
Therefore,
x = ∠CAB/2 -----> equation 1
y = ∠CBA/2 -----> equation 2

step 2
In triangle ABC,
∠CAB + ∠CBA + ∠ACB = 180° ----> [The sum of all three angles of a triangle is 180°]
∠CAB + ∠CBA + 110° = 180°
∠CAB + ∠CBA = 180° - 110°
∠CAB + ∠CBA = 70° ------> divide by 2 both sides
∠CAB/2 + ∠CBA/2 = 70/2 -------> equation 3
substitute equation 1 and equation 2 in equation 3
x+y=35

hence

the answer is
x+y =35°
⇒ x + y = 35° ...[From equation (1) and (2)]

5 0

3 years ago

Which decimal number is represented by the shaded portion of the model?

ioda

Answer:

0.9 or .9

Step-by-step explanation:

9 out 10 are shaded

In percentage, 90%

In fraction 9/10

4 0

2 years ago

Read 2 more answers

Please help me out! i have a few more of these questions, about 2

Marysya12 [62]

Step-by-step explanation:

Start with a point on (0,6) This is because the 6 represents the point on the y - axis

Then, move up 1 and 3 to the right; This should result with a point on (3,7)

Keep repeating this to get your line

6 0

2 years ago

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Answer this and add work, show all work for math. :P

Andreyy89

Lines are in the form y=mx+b, where m is the slope and b is the y-intercept. This line is thus y=9/4x-14, so C is correct. Multiplying by four, we get 4y=9x-56. Adding 56 and subtracting 4y, we see that 9x-4y=56, and multiplying by -1, we get 4y-9x=-56, so A is also correct. At this point, it is clear that B and D are incorrect, so A and C only are correct.

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2 years ago

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The inequality x+c>-2.55 has the solution x>4.85 What is the value of c? How do you know?

Novay_Z [31]

Answer:

$\large\boxed{c=-7.4}$

Step-by-step explanation:

$x+c>-2.55\qquad\text{subtract c from both sides}\\\\x>-2.55-c\\\\\text{We have the solution}\ x>4.85.\ \text{Therefore}\\\\-2.55-c=4.85\qquad\text{add 2.55 to both sides}\\\\-2.55+2.55-c=4.85+2.55\\\\-c=7.4\qquad\text{change the signs}\\\\c=-7.4$

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2 years ago