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faust18 [17]
2 years ago
8

How many solutions does lx+7l=-1

Mathematics
1 answer:
e-lub [12.9K]2 years ago
6 0

Answer:

No solution

Step-by-step explanation:

An absolute value equation cannot equal a negative number.

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-3 {2x - 8} = 2x what is the value of x
Arisa [49]

Answer:

X=3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
-7a-10=20-3a please show work help
olga_2 [115]
-7a-10=20-3a

Combine like terms:
-4a -10 = 20
-4a = 30

Solve for a:
a =  -\frac{30}{4} = -7.5

Your answer: a = -7.5
7 0
3 years ago
An equilateral triangle has a side length of 6. What is the height of the triangle?
vlabodo [156]
Since the height of an equilateral triangle in terms of its side s is s√3/2, the height of the triangle is 6√3/2 = 3√3 and so the area is (1/2)(6)(3√3) = 9√3. 

<span>If we draw a horizontal line a height of h from the base of the triangle, the region is split into two regions: the lower region consisting of a trapezoid of height h and the upper region consisting of a triangle of height 3√3 - h. </span>

<span>Since the upper triangle and the triangle itself are similar triangles, the base and height are proportional. If we let x denote the base of the length of the upper triangle, we have: </span>

<span>(S. of small triangle)/(S. of big triangle) = (Ht. of small triangle)/(Ht. of big triangle) </span>
<span>==> x/6 = (3√3 - h)/(3√3) </span>
<span>==> x = (6√3 - 2h)/√3 </span>

<span>Thus, the area of the upper triangle is: </span>

<span>A = (1/2)[(6√3 - 2h)/√3](3√3 - h) = [(6√3 - 2h)(3√3 - h)]/(2√3). </span>
<span>(Made a dumb mistake about the height here for some reason) </span>

<span>Since we require that the area of this triangle is to be half of the total area (9√3/2), we need to solve: </span>

<span>[(6√3 - 2h)(3√3 - h)]/(2√3) = 9√3/2 </span>
<span>==> (6√3 - 2h)(3√3 - h) = 27 </span>
<span>==> 54 - 6h√3 - 6h√3 + 2h^2 = 27 </span>
<span>==> 2h^2 - 12h√3 + 27 = 0. </span>

<span>Solving with the Quadratic Formula gives: </span>

<span>h = (6√3 + 3√6)/2 ≈ 8.87 units and h = (6√3 - 3√6)/2 ≈ 1.52 units. </span>

<span>Since h = (6√3 + 3√6)/2 would place the line outside of the triangle, we pick h = (6√3 - 3√6)/2. </span>

<span>Therefore, the line should be ==> (6√3 - 3√6)/2 units from the base. </span>

<span>I hope this helps! ^^ Brainliest Please?</span><span>
</span>
5 0
3 years ago
Read 2 more answers
The diagonal of a rhombus is 24m and 10m. Find the perimeter.
dybincka [34]

Answer:

52m

Step-by-step explanation:

rhombus

its like a slanted square

all its 4 sides are equal like a square

both pairs of opposite sides are parallel

when the diagonals criss cross they make 4 triangles inside

the sides of the rhombus become the hypotenuse of a triangles inside

if the diagonal is 24 and 10 then

its radius is 12 and 5

the sides of the rhombus become the hypotenuse of a triangle that have the sides 12 and 5

hypotenuse of a triangle that has the sides 12 and 5 is

13

(its a special triangle: its a 5, 12, 13 right triangle)

13 times 4 is 52

4 0
2 years ago
2).<br> What is the volume of the cylinder?<br> 4 in<br> 8 in<br> I
nikdorinn [45]

Answer: I think it's 32 in

Step-by-step explanation: Hope that helped!

7 0
3 years ago
Read 2 more answers
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