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4 years ago

Eureka math lesson 5 5.3

Mathematics

2 answers:

OLEGan [10]4 years ago

6 0

Answer:

A= 1/3-1/4= 7/12

Step-by-step explanation:

1/3=4/12

1/4=3/12

4/12-3/12=7/12

dangina [55]4 years ago

3 0

A is 1/12.

B is 1/6.

C is 7/12.

D is 11/21

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Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer (assuming it can be in slope-intercept form):

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$

3 0

3 years ago

A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The

stepladder [879]

Step-by-step explanation:

the equation is

c =>

4.50 + 1.70 w = 16

8 0

3 years ago

URGENT PLEASE HELP. A radio signal travels at 3.00 * 10^8 meters per second. how many seconds will it take for a radio signal to

lbvjy [14]

So distance=rate x time and if we rearrange this to find the time we get time=distance/rate. Now we can just plug in the numbers.

3.54*10^7/3*10^8=time(seconds)
To solve this we can just divide the parts of the scientific notation separately.

3.54/3=1.18
10^7/10^8=1/10

Now we just multiply our answers together because we separated them before we divided.

1.18*1/10=.118

So the answer is .118 seconds

4 0

3 years ago

Read 2 more answers

Find the area of a circular pond having radius Ans: 616 m 14 m.

krek1111 [17]

Step-by-step explanation:

Area of circular pond=22/7×14×14

=22/7×196

=616m

3 0

3 years ago

What is the value of X if the quadrilateral is a rhombus?

ValentinkaMS [17]

Since all the sides of a rhombus are equal you have to let 15= 4x+3 so it will proceed like this:

15=4x+3
(Subtract 3 from each side)
12=4x
(Divide each side by 4 to isolate the variable, x)
x=3

Hope this explanation helps ;)

8 0

3 years ago