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babymother [125]
3 years ago
5

Kevin is 3 times as old as Daniel. 4 years ago, Kevin was 5 times as old as Daniel. How old is Kevin now?

Mathematics
2 answers:
marishachu [46]3 years ago
8 0
He might be 6 now.

hope this helped :)

plzz tell me if I was wrong
mr_godi [17]3 years ago
5 0
Five years ago, Kevin was 20, and Daniel was 4. (4*5=20)
Now, Kevin is 24, and Daniel is 8. (8*3=24)
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Americans consume about 13,150,000,000 gallons of carbonated drinks each year. Express this number in scientific notation.
ExtremeBDS [4]

It would be 1.315 × 10¹⁰.

8 0
3 years ago
{(2,5),(7,3)} is the inverse relation of the function {(5,2),(3,7)} truth or false
dezoksy [38]

frankly yes, because when you want inverse a function you must inverse it with line x=y

so when you inverse a function Df and Rf will convert together!

7 0
3 years ago
Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or a
White raven [17]
Check the picture below

now, we know is a parallelogram, so the diagonals will bisect

looking at the picture, the interior angles are not right-angles, and thus is not a rectangle, and is not a square either, due to the same reason

is it a rhombus?  well, a rhombus, is a parallelogram, that's "slanted" per se, but regardless of how slanted it may be, the sides are all equal

now, we don't need to check the length of both pairs, just one of the segments of each pair, let's check only then JK and KL, the ones in red in the picture, since each pair of segments are twin, if JK = KL, then that means all sides are equal

\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
J&({{-7 }}\quad ,&{{ -2}})\quad 
%  (c,d)
K&({{ 0}}\quad ,&{{ 4}})\\\\
K&({{ 0}}\quad ,&{{ 4}})\quad 
%  (c,d)
L&({{ 9}}\quad ,&{{ 2}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
JK=\sqrt{[0-(-7)]^2+[4-(-2)]^2}\implies JK=\sqrt{(0+7)^2+(4+2)^2}
\\\\\\
JK=\sqrt{7^2+6^2}
\\\\\\
KL=\sqrt{(9-0)^2+(2-4)^2}\implies KL=\sqrt{9^2+(-2)^2}

now... another characteristic of a rhombus is, the diagonals, meet at right-angle, that means KM ⟂ JL

and that simply means, if you get the slope of KM and the slope of JL, the product of their slope is -1

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
K&({{ 0}}\quad ,&{{ 4}})\quad 
%   (c,d)
M&({{ 2}}\quad ,&{{ -4}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-4-4}{2-0}

\bf -------------------------------\\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
J&({{ -7}}\quad ,&{{ -2}})\quad 
%   (c,d)
L&({{ 9}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-(-2)}{9-(-7)}\implies \cfrac{2+2}{9+7}

then multiply both slopes, if their product is -1, that means, they're perpendicular to each other, and it IS a rhombus only, then.

7 0
3 years ago
Read 2 more answers
Resuma o tema operações com números positivos e negativos POR FAVOR RESPONDA CERTO E RÁPIDO É URGENTE!
wlad13 [49]

Adição (+)

Positivo + Positivo = Positivo

Negativo + Negativo = Negativo

Positivo + Negativo ou Negativo + Positivo

• use o maior número e seu sinal, subtraia

Subtração (-)

Negativo - Positivo = Negativo

Positivo - Negativo = Positivo

Negativo - Negativo = Negativo + Positivo

• use o maior número e seu sinal, subtraia

Multiplicação (x)

Positivo x Positivo = Positivo

Negativo x Negativo = Positivo

Negativo x Positivo = Negativo

Positivo x Negativo = Negativo

• alterar os negativos duplos para um positivo

Divisão (÷)

Positivo ÷ Positivo = Positivo

Negativo ÷ Negativo = Positivo

Negativo ÷ Positivo = Negativo

Positivo ÷ Negativo = Negativo

• alterar os negativos duplos para um positivo

3 0
3 years ago
Write a linear equation in point slope form that passes through the point (-2,5) with a slope or 1/2
trasher [3.6K]

Answer:

y-5=\frac{1}{2}(x+2)

Step-by-step explanation:

Point Slope is:

y-y_1=m(x-x_1)

We are given the point (-2, 5) and a slope of 1/2.

y-y_1=m(x-x_1)\rightarrow\boxed{y-5=\frac{1}{2}(x+2)}

Hope this helps.

4 0
2 years ago
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