All categories

3 years ago

Is the ordered pair (4, 16) a solution to this equation? y = 3 x 4; (4, 16) True or False

Mathematics

1 answer:

vovangra [49]3 years ago

7 0

Answer:

True

Step-by-step explanation:

I'm assuming you mean y=3x+4.

First, in order to know if the point is a solution to the equation, all you have to do is to plug in the points and see if they are true.

$y=3x+4; (4, 16)$

16=3(4)+4

16=12+4

16=16

the solution is true!

You might be interested in

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$

To find the speed, we have to differentiate both sides with respect to time 't'

$\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6$

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0

1 year ago

Y = 3x - 5 what is the value of Y??

lara [203]

Answer:

Step-by-step explanation:

x=12

so y=3⋅12 +5

=36+5

=41

6 0

3 years ago

Read 2 more answers

Resuelve por el perímetro.<br> 5 cm<br> 8 cm

olga55 [171]

Answer:

5cm

8 0

3 years ago

Read 2 more answers

What is the answer 1 plus 1

AnnZ [28]

Answer:

the answer is 4, just kidding it's 2

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

(01.05) Use the graph below to answer this question: graph of line going through negative 1, 4 and 2, 0 Find the average rate of

dsp73

1) Find the graph of a line passing through (-1, 4) and (2, 0).

The slope of two points can be determined by dividing the difference of y-values by the difference of x-values:

$\frac{4-0}{-1-2} =\frac{4}{-3}$

The slope of this equation is -4/3. Inputting this into the slope-intercept form of an equation, we get:

$y=\frac{-4}{3} x+b$

To find b, substitute x and y for one of the given coordinate pairs:

0 = (-4/3)(2) + b

0 = -8/3 + b

8/3 = b

Substitute the b value into the equation to finish the line:

$y=\frac{-4}{3} x+\frac{8}{3}$

4 0

3 years ago

Read 2 more answers