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2 years ago

What values of x satisfy the equation x^2=6?

Mathematics

2 answers:

PIT_PIT [208]2 years ago

6 0

Answer

8 hjlhvuyghbyvyg

Otrada [13]2 years ago

5 0

Answer

X = 8

Step-by-step explanation:

1x - 2 = 6

1x = 6 + 2

1x = 8 (divide both sides by 1 to get x)

1x/1 = 8/1

x = 8

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HELP What is the area of this figure?

Mademuasel [1]

The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:

The formula of the area of a triangle, "A":

A = (1/2) * b * h ;

in which: " A = area (in units 'squared') ; in our case, " yd² " ;

" b = base length" = 6 yd.

" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;

= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:

The formula for the area, "A" of a square:

A = s² ;

in which: "A = area (in "units squared") ; in our case, " yd² " ;

"s = side length (since a 'square' has all FOUR (4) equal side lengths);

A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;

to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________

4 0

3 years ago

The 7th term of an A.p is -4. If the common difference is-5, find the 6th term

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

a₆ = a₇+(6-7)d = -4 -(-5) =1

7 0

2 years ago

Work out the volume of this hemisphere with diameter 9.6 cm

weqwewe [10]

Answer:

Please refer to the attachment

7 0

2 years ago

Graph y = x2 + 2. Identify the vertex of the graph. Tell whether it is a minimum or maximum. (0, 2); maximum (0, 2); minimum (2,

miskamm [114]

Answer:

$(0,2)$ ; minimum

Step-by-step explanation:

Given:

The function is, $y=x^{2}+2$

The given function represent a parabola and can be expressed in vertex form as:

$y=(x-0)^{2}+2$

The vertex form of a parabola is $y=(x-h)^{2}+k$ , where, $(h,k)$ is the vertex.

So, the vertex is $(0,2)$ .

In order to graph the given parabola, we find some points on it.

Let $x=-2,y=(-2)^{2}+2=4+2=6$

$x=-1,y=(-1)^{2}+2=1+2=3$

$x=0,y=(0)^{2}+2=0+2=2$

$x=2,y=(2)^{2}+2=4+2=6$

$x=1,y=(1)^{2}+2=1+2=3$

So, the points are $(-2,6),(-1,3),(0,2),(1,3),(2,6)$ .

Mark these points on the graph and join them using a smooth curve.

The graph is shown below.

From the graph, we conclude that at the vertex $(0,2)$ , it is minimum.

8 0

3 years ago

I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct

joja [24]

*If you need me to do #5, DM me!

3. The area of a triangle can be given by (just plug and chug as always):
$A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2$
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
$A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2$
$A_r = bh = 12(8) = 96m^2$
Now we just add them:
$96+12 = 108m^2$

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
$A_t = \frac{1}{2}bh$
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
$A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2$
Multiply by 4 to get total area:
$6.25*4 = 25cm^2$

So, the area of the given rhombus is 25cm².

8 0

3 years ago