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4 years ago

Point R is at (−2, 4) and Point T is at (−7, 4). The distance from Point R to Point T is?

Mathematics

1 answer:

Elanso [62]4 years ago

3 0

The answer is either 7.4 or 37/5

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Take your time please

AnnyKZ [126]

Step-by-step explanation:

two times one and

six times 9 is multipliy

so,

1) 2

hope it is helpful to you

7 0

3 years ago

The dimensions of a rectangular water tank are 2

Svetllana [295]

Rectangle volume formula: Volume = length × width × height

V = 2.75 × 1.80 × 1.40 = 6.93 meters³

1m³ = 1000 litres

6.93 × 1000 = 6930 litres

Answer:

6930 litres of water can hold when filled to the brim.

4 0

3 years ago

Read 2 more answers

Estimate the minimum number of subintervals to approximate the value of Integral from negative 3 to 3 (2 x squared plus 9 )dx wi

vichka [17]

Answer:

The value of n for (a) n=425. (b) n=0.

Step-by-step explanation:

Given integration is,

$\int_{-3}^{3}f(x)=\int_{-3}^{3}(2x^2+9)dx$

(a) For Trapezoidal Rule : Composite error is,

$E_T=-\frac{(b-a)^3}{12n^2}f''(x_m)$

Where, f''(x_m)=greatest value of |f''(x)|= |4|=4, a=-3, b=3. Therefore to find the minimum number of subinterval,

$|E_T|\leq | \frac{(b-a)^3}{12n^2}f''(x)|$ |

$\leq \frac{4(-3-3)^3}{12n^2}$

$=\frac{72}{n^2}$

According to the question, we must choose n such that,

$\frac{72}{n^2}$

$\implies n>424.2640686$

So we can take n=425.

(b) For Simpson 1/3 rule : Composite error is,

$E_S=-\frac{(b-a)^5}{180n^4}f^{(iv)}(x_m)$

where, $f^{(x_m)}=\textit{greatest value of} |f^{(iv)}(x)|$

In this problem $f^{(iv)}(x)=0$ , so that,

$|E_S|\leq 0$

that is there exist no error. So n=0.

6 0

3 years ago

For the quadratic equation x2 + 2x + 8 = 0, find the value of the discriminant. Then, describe the number and type of roots for

stepladder [879]

ax^2 +bx+c=0
X^2 + 2x+8=0 so a=1, b=2, c=8

Discriminat= b^2 -4ac=2^2 -4•1•8=4-32=-28

So there are no real number solutions, yet there are complex numbers solutions.

Solutions=(-b+- sqrt (discriminant))/2•a
=(-2+-i sqrt ( 2•2•7))/2
Solutia 1= -1 + i sqrt7
Solutia 2= -1 - i sqrt 7

5 0

3 years ago

2. Find the base of a triangle which has an area of 2 1/4 square inches, and a height of 1/8 in.

Maslowich

Answer:

36 inches

Step-by-step explanation:

Given data

Area of triangle =2 1/4 square inches

Area =9/4 square inches

Height of triangle =1/8 inches

We know that the expression for the area of triangle is

Area = 1/2Base *Height

9/4=1/2*Base *1/8

9/4=Base/16

Cross multiply

16*9=Base*4

144=Base*4

Base =144/4

Base=36 inches

7 0

3 years ago