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fiasKO [112]
3 years ago
9

If the sum of two numbers is 90 but their difference is 12 what are the two numbers

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0
51 and 39. Have a  great day!
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Solve.<br> y=x - 7<br> 5+2y=7
lesantik [10]

Answer:

\huge\boxed{x=8;\ y=1\to(8;\ 1)}

Step-by-step explanation:

\left\{\begin{array}{ccc}y=x-7&(1)\\5+2y=7&(2)\end{array}\right\\\\\text{Substitute (1) to (2) and solve for x:}\\\\5+2(x-7)=7\qquad\text{use the distributive property}\\\\5+(2)(x)+(2)(-7)=7\\\\5+2x-14=7\\\\2x+(5-14)=7\\\\2x-9=7\qquad\text{add 9 to both sides}\\\\2x-9+9=7+9\\\\2x=16\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}=\dfrac{16}{2}\\\\\boxed{x=8}

\text{Substitute it to (1):}\\\\y=8-7\\\\\boxed{y=1}

8 0
3 years ago
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Can anyone help I do t know how to find all seven angles
Svetllana [295]

Answer:

1. 110

2. 70

3. 70

4. 110

5. 110

6. 70

7. 70

Step-by-step explanation:

when to lines cross, opposite angles are equal so like 1 and 4 are equal

1, 4, and 5 are equal to 110

to find 2, 3, 6, and 7, subtract 110 from 180

7 0
3 years ago
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Find the volume of a cone. Use 3.14 for pie. Rounded answer to the nearest 10th (One decimal place).
zlopas [31]
I believe the correct answer is thirty six point seven
5 0
3 years ago
What is the value of \dfrac{d}{dx}\left(\dfrac{2x+3}{3x^2-4}\right) dx d ​ ( 3x 2 −4 2x+3 ​ )start fraction, d, divided by, d, x
stellarik [79]

Answer:

4.

Step-by-step explanation:

We are asked to find the value of expression \frac{d}{dx}(\frac{2x+3}{3x^2-4}) at x=-1.

First of all, we will find the derivative of the given expression using "Quotient Rule of Derivatives" as shown below:

(\frac{f(x)}{g(x)})'=\frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{(g(x))^2}

\frac{d}{dx}(\frac{2x+3}{3x^2-4})

\frac{\frac{d}{dx}(2x+3)*(3x^2-4)-(2x+3)*\frac{d}{dx}(3x^2-4)}{(3x^2-4)^2}

\frac{2*(3x^2-4)-(2x+3)*(6x)}{(3x^2-4)^2}

\frac{6x^2-8-12x^2-18x}{(3x^2-4)^2}

\frac{-6x^2-18x-8}{(3x^2-4)^2}

Therefore, our required derivative is \frac{-6x^2-18x-8}{(3x^2-4)^2}.

Now, we will substitute x=-1 in our derivative to find the required value as:

\frac{-6(-1)^2-18(-1)-8}{(3(-1)^2-4)^2}

\frac{-6(1)+18-8}{(3(1)-4)^2}

\frac{-6+18-8}{(3-4)^2}

\frac{4}{(-1)^2}

\frac{4}{1}

4

Therefore, the value of expression \frac{d}{dx}(\frac{2x+3}{3x^2-4}) at x=-1 is 4.

6 0
3 years ago
1) For each diagram, decide if y is an increase or a decrease relative to x. Then determine how much it increased or decreased.​
svp [43]

Answer:

i dont know

Step-by-step explanation:

7 0
3 years ago
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