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3 years ago

The sum of two numbers is 33 and their difference is 2. What are the numbers?

2 answers:

7 0

The sum of two numbers is 33 and their difference is 2. What are the numbers?
$\left \{ {{x+y=33} \atop {x-y=2}} \right. \\ \\ \left \{ {{y=33-x } \atop {x-y=2}} \right. \\ \\\left \{ {{y=33-x } \atop {x-(33-x) =2}} \right. \\ \\ x-33+x= 2 \\ \\ x+x= 2+33\to 2x= 35\to x= 17,5 \\ \\ \\ y= 33-x\to y= 33-17,5\to y= 15,5$

I wish you much success in your studies!!!!

nata0808 [166]3 years ago

4 0

I would say that it would be a fraction
like 15 1/2 and 17 1/2
cause 15 +17 =32 and 1/2 + 1/2 =2/2 which is 1
32+1=33
Now 17 1/2 - 15 1/2
17-15=2 and 1/2 - 1/2 =0
So the answer could be 15 1/2 and 17 1/2

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A wooden log 10 meters long is leaning against a vertical wall with its other end on the ground. The top end of the log is slidi

Andre45 [30]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is Pythagorean's Theorem. Basically, what we are looking for is $\frac{dx}{dt}$ when y = 6 and $\frac{dy}{dt}=-2$ .

The equation for Pythagorean's Theorem is

$x^2+y^2=c^2$ where x and y are the legs and c is the hypotenuse. The length of the hypotenuse is 10, so when we find the derivative of this function with respect to time, and using implicit differentiation, we get:

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and divide everything by 2 to simplify:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Looking at that equation, it looks like we need a value for x, y, $\frac{dx}{dt}$ and $\frac{dy}{dt}$ .

Since we are looking for $\frac{dx}{dt}$ , that can be our only unknown and everything else has to have a value. So what do we know?

If we construct a right triangle with 10 as the hypotenuse and use 6 for y, we can solve for x (which is the only unknown we have, actually). Using Pythagorean's Theorem to solve for x:

$x^2+6^2=10^2$ and

$x^2+36=100$ and

$x^2=64$ so

x = 8.

NOW we can fill in the derivative and solve for $\frac{dx}{dt}$ .

Remember the derivative is

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$8\frac{dx}{dt}+6(-2)=0$ and

$8\frac{dx}{dt}-12=0$ and

$8\frac{dx}{dt}=12$ so

$\frac{dx}{dt}=\frac{12}{8}=\frac{6}{4}=\frac{3}{2}=1.5 m/sec$

7 0

3 years ago

Can someone help me with this

Zigmanuir [339]

Answer:

slope line 1: -2

slope line 2: -2

slope line 3: 2

line 1 &2: parallel

line 1&3: perpendicular

line 2&3: perpendicular

Step-by-step explanation:

Slope formula: y2-y1/x2-x1

line 1) 2--2/0-2= -2

line 2) -5--1/1--1=-2

line 3) 0--4/-3--5=2

3 0

3 years ago

Simplify the variable expression by evaluating its numerical part, and enter your answer below.g - 16/4

alexandr402 [8]

The answer should be g=4.

6 0

3 years ago

Factor the trinomial x^2+6x-16

vagabundo [1.1K]

For quadratics with an a value (coefficient of x²) of 1, we find factors of c, the constant, that sum to b, the coefficient of x. In our case we want factors of -16 that sum to 6.
-16 = -1(16) or 16(-1)
-16 = -2(8) or 8(-2)
-16 = -4(4) or 4(-4)

Out of these 6 possibilities, the only one that sums to 6 is 8(-2), because 8+(-2)=6.

This gives us the factors (x+8)(x-2).

7 0

3 years ago

What the answer to 3 3/8 + 7 3/4

balu736 [363]

Answer:

11 3/8

Step-by-step explanation:

3 3/8 + 7 3/4

convert the 3/4 to /8 so that they can be added together

3/4 = 6/8

add together

3 3/8 + 7 6/8 = 10 11/8 = 11 3/8

8 0

3 years ago

Read 2 more answers