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expeople1 [14]
3 years ago
14

What is the solution set of equation ?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

Answer:

Option 4

Step-by-step explanation:

You divide 1/2 by the whole problem

5x-15=20

and go from there its too long to explain but its option 4

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What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths
Lunna [17]
Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form: 
x² + 8 x - y + 18 = 0 
5 0
3 years ago
I need help with 5-11
Damm [24]

Step-by-step explanation:

5.

in an equilateral triangle all 3 sides are equally long. but that also means that all 3 angles are equal. and as the sum of all angles in a triangle has to be 180°, that means that each of the 3 Angie's is 180/3 = 60°.

so, KML = 60°.

6.

HMK = 50°, KML = 60°.

all angles around M on one side of the line LG must have 180° in total too.

so,

HMG = 180 - 50 - 60 = 70°

7.

since GHM is isoceles (GH and MH are equal), it means also that the angles at M and at G must be equal.

HMG = 70°

therefore, HGM = 70°

again, the sum of all angles in a triangle must be 180°, so

GHM = 180 - 70 - 70 = 40°.

8.

again, in an isoceles triangle also the 2 "bottom" angles are equal. and together with the 180 sum rule we get

MHJ = (180 - 145)/2 = 35/2 = 17.5°.

9.

if now the angle at G is 67°, then again, the angle at M must be equal (67°). and then again based on the 180 rule we get

GHM = 180 - 67 - 67 = 46°.

10.

since the 2 angles "at the bottom" are equal, it means ADE is an isoceles triangle.

since BC is parallel to DE, it means that ADE and ABC are similar triangles. and that means the corresponding angles are the same. and that means that the angles 3 and 4 are equal, and therefore ABC is an isoceles triangle. and that means that both legs AB and AC are equal.

11.

again, in an isoceles triangle the 2 base angles are equal. and together with the usual 180 rule that means

base angle = (180 - 18)/2 = 162/2 = 81°.

3 0
2 years ago
What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?
Elan Coil [88]
10/2.5= 4 the answer is 4 meters because you just divide them. 

4 0
3 years ago
Read 2 more answers
Factorise fully x^3-x
MA_775_DIABLO [31]

Answer:

x(x+1)(x-1)

Step-by-step explanation:

We see that the two terms share an x, so we can pull that out:

x^3-x=x(x^2-1)

Now notice that we have a difference of squares (x^2-1). Given a difference of squares, a^2-b^2, this can always be factored into (a+b)(a-b). We can use this in this case: x^2-1=(x+1)(x-1).

So, our final factorized form is: x(x+1)(x-1).

Hope this helps!

3 0
3 years ago
Where are the proteins for a cell made?<br> mitochondria<br> cytoplasm<br> nucleus<br> ribosomes
goblinko [34]

Answer:

The ribosomes are the organelles in which the proteins are made. Except for red blood cells (RCBs), all the other cells in the body make protein as each cell is made up of protein. The DNA present in the nucleus instructs the ribosomes in the cells to synthesize proteins.

Step-by-step explanation:

6 0
3 years ago
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