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kondaur [170]
3 years ago
15

If L is the line having x -intercept of -1 and y -intercept of 3, complete the equation of L .

Mathematics
1 answer:
frozen [14]3 years ago
7 0

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0+1} = 3

We are given the y- intercept, that is c = 3

y = 3x + 3 ← equation of line

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Find the perimeter of each of the two non congruent triangles where a=15,b=20 and a=29
Alborosie

Answer:

b. about 63.9 units and 41.0 units

Step-by-step explanation:

In question ∠a= 29° and Side of a= 15 and b= 20

Using sine rule of congruence of triangle.

⇒ \frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{sin C}

⇒ \frac{15}{Sin 29} = \frac{20}{sin B}

Using value of sin 29°

⇒ \frac{15}{0.49} = \frac{20}{sin B}

Cross multiplying both side.

⇒ Sin B= \frac{20\times 0.49}{15} = 0.65

∴ B= 41°

Now, we have the degree for ∠B= 41°.

Next, lets find the ∠C

∵ we know the sum total of angle of triangle is 180°

∴∠A+∠B+∠C= 180°

⇒ 29+41+B= 180

subtracting both side by 70°

∴∠C= 110°

Now, again using the sine rule to find the side of c.

\frac{b}{SinB} = \frac{c}{SinC}

⇒\frac{20}{sin41} = \frac{C}{sin110}

Using the value of sine and cross multiplying both side.

⇒ C= \frac{20\times 0.94}{0.65} = 28.92

∴ Side C= 28.92.

Now, finding perimeter of angle of triangle

Perimeter of triangle= a+b+c

Perimeter of triangle= (15+20+28.92)= 63.9

∴ Perimeter of triangle= 63.9 units

7 0
3 years ago
NEED HELP ASAP!!! 20 POINTS, 5 STAR REVIEW AND BRAINLIEST TO WHOEVER IS FIRST!
lesya [120]

Answer:

#1 is 30 degrees

#2 is obtuse

#3 is "No rhombuses are rectangles"

#4 is D

#5 is A

Step-by-step explanation:

For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:

90+x=120

x=30

So angle x is 30 degrees aka. Option A

For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81

For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.

For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.

For #5, just think of turning the triangle on its other side, aka. option A

4 0
3 years ago
Read 2 more answers
At the zoo the polar bears are fed 7/9 bucket of fish a day. The penguins are fed 4/7 that amount. What fraction are the penguin
OlgaM077 [116]

Answer: They are fed 4/9 of what the polar bears are fed.


Step-by-step explanation:

7/9*4/7=

1/9*4/1=4/9

The 7's get cancelled out.

                                       


4 0
3 years ago
Find mAC<br><br> Help me please
aleksandrvk [35]

Answer:

130 degrees

Step-by-step explanation:

arc CA is 50 since the angle is 50 and then you would subtract from 180 since it is half the circle which leaves you with C, or 130 degrees.

5 0
2 years ago
You toss two fair coins together how many different outcomes will you get?
Yuki888 [10]
4 outcomes,
Heads - Heads
Heads - Tails
Tails - Tails
Tails - Heads

With every coin added the amount of outcomes is multiplied by two
3 0
3 years ago
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