All categories

3 years ago

2/3 =4/6 tape diagram to prove

Mathematics

1 answer:

never [62]3 years ago

4 0

Draw a diagram from 0 then go up diagonal one by one

You might be interested in

Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P

scoray [572]

Answer:

$18\sqrt{10}$ units$

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

$=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}$

To minimize D, we find its derivative

$\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6$

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

$D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units$

8 0

4 years ago

What is the 20th term of the linear sequence?<br><br>1,7,13,19,25

Nimfa-mama [501]

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

4 0

3 years ago

The ratio of lime juice to soy sauce in a salad dressing is 7:6. The total of both ingredients is 39 tablespoons. How many table

4vir4ik [10]

21 of lime juice and 18 of soy sauce

8 0

4 years ago

Find the x-intercepts for the parabola y equals x squared plus 12 x plus 27.

loris [4]

Answer:

y = x^2 + 12x + 27

x^2 + 12x + 27 = 0

(x + 9)(x + 3) = 0

x = -3, -9

8 0

1 year ago

Please help!!!!!!!!!!

topjm [15]

Ah yes, good ol’ Pythagorean’s theorem.

The hypotenuse is the opposite of the 90 degree angle, the longest side of the triangle.

The legs are opposite of the acute angles

Formula: a^2 + b^2 = c^2

2:

Let’s plug in some values

(6)^2 + (3)^2 = c^2

C = 6.7

The side will be 6.7 units

3)

Let’s plug in some values

(13.3)^2 = (9.7)^2 + (b)^2

(13.3)^2 - (9.7)^2 = b^2

176.89 - 94.09 = b^2

b = 9.1

The side will be 9.1 units

3 0

3 years ago