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Free_Kalibri [48]
2 years ago
6

HELP, UNIT TEST

Mathematics
1 answer:
Ksivusya [100]2 years ago
7 0

Answer:

{Minimum}\space\left(-2,\:-16\right)minimum (-2,  -16)

Step-by-step Explanation:

y=\left(x-2\right)\left(x+6\right):\\

a=1,\:m=2,\:n=-6

x_v=\frac{m+n}{2}

x_v=\frac{2+\left(-6\right)}{2}

Plug in xv = -2 to find the  value

y_v=-16

\left(-2,\:-16\right){Minimum}\space\left(-2,\:-16\right)

{Minimum}\space\left(-2,\:-16\right)minimum (-2,  -16)

\mathrm{Minimum}\space\left(-2,\:-16\right)

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A woman jogs for 2 km at 8 km/h and then walks for 2 km
Artemon [7]

Answer:

  6 6/7 km/h

Step-by-step explanation:

The relations between speed, time, and distance are ...

  time = distance/speed

  speed = distance/time

__

So, to find the average speed, we need to know the total distance and the total time. The distances are given, but we need to compute the times.

  time jogging = (2 km)/(8 km/h) = 1/4 h

  time walking = (2 km)/(6 km/h) = 1/3 h

Then the woman's average speed is ...

  average speed = (total distance)/(total time) = (2 km + 2 km)/(1/4 h + 1/3 h)

  = (4 km)/(7/12 h) = 48/7 km/h

  = 6 6/7 km/h

3 0
3 years ago
What is the 214 term in the sequence 7,10,13,16?
mixer [17]
We can figure this out using the explicit formula.

f(n)=f(1)+d(n-1)

n represents the term we are looking for.
f(1) represents the first term in the sequence, which in this case, is 7.
d represents the common difference, which in this case, is +3.

f(n) = 7 + 3(n - 1)
f(n) = 7 + 3n - 3
f(n) = 4 + 3n

Now, we can input 214 for n and solve.

f(214) = 4 + 3(214)
f(214) = 4 + 642
f(214) = 646

The 214th term in this sequence is 646.
5 0
3 years ago
If y(x−y)2=xy(x−y)2=x , then ∫dxx−3y=​
avanturin [10]

Answer:

If y(x-y)^2=x, then int1/(x-3y)dx is equal to (A) 1/3log{(x-y)^2+1} (B) 1/4log{(x-y)^2-1} (C) 1/2log{(x-y)^2-1} (D) 1/6 log{(x^2-y^2-1}

Step-by-step explanation:

8 0
3 years ago
Find the area of a trapezoid with base 1 side = 10 base 2 side = 16 and 3​
mart [117]

Answer:

Area of Trapezoid is 39 unit²

Step-by-step explanation:

Given as :

For A Trapezoid

The measure of base side 1 = b_1 = 10 unit

The measure of base side 2 = b_2 = 16 unit

The height of the Trapezoid = h = 3 unit

Let  The Area of Trapezoid = A square unit

<u>Now, From Formula</u>

Area of Trapezoid = \dfrac{1}{2} × (sum of opposite base) × height

I.e A =  \dfrac{1}{2} × (b_1 + b_2) × h

Or, A =  \dfrac{1}{2} × (10 unit + 16 unit) × 3 unit

Or, A =  \dfrac{1}{2} × (26 unit) × 3 unit

Or, A =  \dfrac{1}{2} × 78 unit²

Or, A = \dfrac{78}{2} unit²

I.e A = 39 unit²

So, The Area of Trapezoid = A = 39 unit²

Hence, The Area of Trapezoid is 39 unit² . Answer

6 0
3 years ago
Find the surface area of this triangular prism
Karo-lina-s [1.5K]

Answer:

This may not be the numbers but just follow the way in how i did it hope it helps!!!

Step-by-step explanation:

SA= 2lw x 2lh x 2wh

Length - 5m

Width - 4m

Height - 6m

= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)

=2 ( 20)+2 (30)+2 (24)

= 40 + 60 + 48

=148

The dimensions of a second rectangular prism that will have the same surface area will be the below:

Length - 6m

Width -  5m

Height - 4m

SA = 2lw + 2lh + 2wh

= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)

=2(30)+2 (24)+2 (20)

=60 + 48 + 40

= 148

7 0
3 years ago
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