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GuDViN [60]
3 years ago
7

I need help on this

Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

c because its so simple trust!!

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Two positive integers have a sum of 10 and a product of 21. What are the integers?
lara [203]

Answer:

<h2>3 and 7</h2>

Step-by-step explanation:

x,y-\text{positive integers}\\\\\text{The system of equations:}\\\\\left\{\begin{array}{ccc}x+y=10&\text{subtract}\ y\ \text{from both sides}\\xy=21\end{array}\right\\\\\left\{\begin{array}{ccc}x=10-y&(1)\\xy=21&(2)\end{array}\right\\\\\text{substitute (1) to (2):}\\\\(10-y)(y)=21\qquad\text{use the distributive property}\ a(b-c)=ab-ac\\\\10y-y^2=21\qquad\text{subtract 21 from both sides}\\\\-y^2+10y-21=0\qquad\text{change the signs}\\\\y^2-10y+21=0\\\\y^2-3y-7y+21=0\\\\y(y-3)-7(y-3)=0

(y-3)(y-7)=0\iff y-3=0\ \vee\ y-7=0\\\\y-3=0\qquad\text{add 3 to both sides}\\\\y=3\\\\y-7=0\qquad\text{add 7 to both sides}\\\\y=7\\\\\text{Put the value of}\ y\ \text{to (1):}\\\\x=10-3=7\ or\ x=10-7=3

7 0
3 years ago
Are the two triangles congruent 6cm 13cm
inna [77]

Answer:

no

Step-by-step explanation:

7 0
3 years ago
simplify the following expression: (x+7/4x) + (5/x-8) I also attached a photo of the problem if you get confused on how I typed
Gnoma [55]

Answer:

\frac{x^{2}  + 19x - 56}{4 {x}^{2}   - 32x}

Step-by-step explanation:

Start by making the denominators of both fraction the same. This can be done by multiplying one fraction's denominator by the other.

After simplifying and combining the two fractions together, check if the numerator can be factorised such that there is a common factor in the denominator and numerator. In this case, the numerator cannot be factorised.

Lastly, expand the denominator.

\frac{x + 7}{4x}  +  \frac{5}{x - 8}

=  \frac{(x + 7)(x - 8)}{4x(x - 8)}  +  \frac{5(4x)}{4x(x - 8)}

=  \frac{x(x) + x( - 8) + 7(x) + 7( - 8) + 20x}{4x(x - 8)}

=  \frac{ {x}^{2} - 8x + 7x - 56 + 20x }{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4x(x - 8)}

=  \frac{ {x}^{2}  + 19x - 56}{4 {x}^{2}  -  32x}

7 0
2 years ago
A reflection of shape I across the y-axis, followed by a ( )
grandymaker [24]

Answer:

180 degrees clockwise for fir part and sec i think is counterclockwise of 90 degreees

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Please help solve <br><br> 7 (x + 8) + 4 = -11 (x - 8) -9
Paladinen [302]

Answer:

x=1 1/18

Step-by-step explanation:

7(x+8)+4=-11(x-8)-9

distribute- 7x+56+4=-11x-88-9

7x+60=-11x+79

subtract 60 from both sides (60),(79)

7x=-11x+19

add 11x on both sides

18x/18 and 19/18

which gives you x=1 1/18 or 19/18

7 0
4 years ago
Read 2 more answers
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