Plese help with geometry question 24 was a guess ! Thank you

Mathematics

2 answers:

cluponka [151]3 years ago

4 0

26. Answer 44

6x + 11 = 10x - 9

subtract 11 and 10 from both sides to get
-4x = -20 then divide that by negative 4 whicg will get you x=5 then plug in
6(5)+11=44

27. Answer 18

9x-4=158 since bisect means cut into 2 equal pieces so abd and dbc equal 79, add 4 to get 162 then divide by 9 to get x=18

29. Answer 28

2h+6+h=90

(____)
this part represents G
complementary angles are two angles that add up to 90, so subtract 6 from 90 and add the variables to get 3h=84 then divide by 3

H = 28 to check you can plug 28 into the equation

AlekseyPX3 years ago

3 0

ECD=90 ECD=x+5+3x-7=4x-2, 4x-2=90, 4x=92, 4x/4=92/4, x=23
a) 23
ECH=x+5, 23+5=28, ECH=28
b)28
HCD=3x-7, 3(23)-7, 69-7=62 HCD=62
c)62
GCF & ECH are vertical angles, GCF=28
d) 28
ECF=180, 180-28(GCF)=152, ECF=152
e) 152
DCF=90, 90+28(GCF)=118
f) 118

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sergij07 [2.7K]

Check the picture below

so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"

keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k version for parabolas, which is a vertical parabola

as opposed to x = (y-k)²+h, anyway, let's find "a"

$\bf y=a(x-0)^2+0\implies y=ax^2\qquad 
\begin{cases}
x=100\\
y=-50
\end{cases}\implies -50=a100^2
\\\\\\
\cfrac{-50}{100^2}=a\implies -\cfrac{1}{200}=a
\\\\\\
thus\qquad \qquad y=-\cfrac{1}{200}x^2\implies \boxed{y=-\cfrac{x^2}{200}}$

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.