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3 years ago

Help please !!! I’m stuck on these problems

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

Answer:

$b=6.8\ units$

Step-by-step explanation:

we know that

Applying the law of sines in the triangle ABC

$\frac{AB}{sin(C)}=\frac{AC}{sin(B)}$

substitute the given values

$\frac{15}{sin(140\°)}=\frac{b}{sin(17\°)}$

Solve for b

$b=(sin(17\°))\frac{15}{sin(140\°)}$

$b=6.8\ units$

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What is the reflection image of P(0, 0) after two reflections, first across x = 4 and then across y = -3?

jek_recluse [69]

Answer:

The reflection image of P(0, 0) after two reflections is (8,-6)

Step-by-step explanation:

step 1

Find the coordinates of point P after reflection across x=4

we know that

The distance from point P to the line x=4 is equal to 4 units

(0,0) -----> (4+4,0) ----> (8,0)

The reflection image of P is (8,0)

step 2

Find the coordinates of point (8,0) after reflection across y=-3

The distance from point (8,0) to the line y=-3 is equal to 3 units

(8,0) -----> (8,-3-3) ----> (8,-6)

3 0

3 years ago

Find the equation of a line that contains the points (3,7) and (-6, 4). Write the equation in slope-intercept form, using

NikAS [45]

Answer:

$y=\frac{1}{3} x+6$

Step-by-step explanation:

$(3,7)(-6,4)$

Step 1. Find the slope (by using the slope-formula)

m = slope

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-7}{-6-3}$

$m=\frac{-3}{-9}$

$m=\frac{3}{9}$

$m=\frac{1}{3}$

Step 2. Write the equation (using the slope and the points)

Here's how to do it:

Slope-intercept Formula $y=mx+b$ whrere m = slope and b = y-intercept

Plug in the slope into the Slope-intercept Formula

$y=\frac{1}{3} x+b$

Find the y-intercept (b) by using a point and substituting their x and y values

$y=\frac{1}{3} x+b$

Point: (3, 7)

$7=\frac{1}{3} (3)+b$

$7=1+b$

$b=7-1$

$b=6$

Step 3. Write the equation in Slope-intercept form

$y=mx+b$

$y=\frac{1}{3} x+6$

3 0

2 years ago

This one might not look familiar yet, but it's very similar to the distance problems you've already seen.

Debora [2.8K]

Answer:

176.

Step-by-step explanation:

5 0

2 years ago

Help ASAP. Can somebody please tell if this is the correct answer. If not put the correct answer And help me if I need to graph

RSB [31]

Answer: closed circle pointing to the right.

Step-by-step explanation:

Given that the inequality equation is

6 ( 2 - 3y ) < = 36

Open the bracket

12 - 18y < = 36

Collect the like terms

- 18y < = 36 - 12

Make y the subject of formula

The inequality sign will change the moment you multiply or divide both sides by negative numbers

Y > = - 24/18

Y > = - 4/3

That is y is greater than or equal to negative 4/3

Graphing the above inequality,

The point will be between -2 and -1. And it will be closer to -1.

The arrow will point to the right and it will be a closed circle since it is greater than or equal to.

8 0

3 years ago

Is the table linear or nonlinear?<br> X 0 1 2 3 <br> Y 2 4 8 16

RideAnS [48]

Answer:

It is linear

Step-by-step explanation:

The Y goes up by the same amount as the X (by 4 Y's per 1 X)

5 0

3 years ago