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vodka [1.7K]
2 years ago
10

Please help my with this!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
butalik [34]2 years ago
5 0

Answer:

ummmmmmmm

Step-by-step explanation:

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in the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?
Sholpan [36]
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.

y = k - x
y = x² + 3x + 1

k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1

This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
3 0
3 years ago
Solve this equation for x: x^2+11x+28=0
lord [1]

Answer: x = -7 or x = -4

Step-by-step explanation: When an equation has a squared term in it

such as x² + 11x + 28 = 0, it's called a polynomial equation.

The rule for solving a polynomial equation

is to first set it equal to zero, then factor.

Since this equation is already set equal to zero,

our first step is to factor the left side of the equation.

To factor x² + 11x + 28, we need the factors

of 28 that add to 11 which are 7 and 4.

So we have (x + 7)(x + 4) = 0.

Whenever two terms are multiplied together to equal zero,

this means that either one or the other must equal zero.

So if (x + 7)(x + 4) = 0, then either x + 7 = 0 or x + 4 = 0.

Solving each equation from here, we get x = -7 or x = -4.

So our solution is {-7, -4}.

6 0
3 years ago
Law of Syllogism to give valid conclusion. 6. Given: If it is raining, then I will bring my umbrella. If I do not bring my umbre
Colt1911 [192]

Answer:

If it is not raining, then I do not need my rain boots.

Step-by-step explanation:

idk the question is written a bit wrong, I don't know if I was able to switch the first statement. Sorry if I'm wrong!

5 0
3 years ago
How to find the midpoint of a line segment with 2 given point?
lorasvet [3.4K]
If the 2 given points are endpoints, then we're in business.  The formula for the midpoint is M=( \frac{ x_{1}+ x_{2}  }{2}, \frac{ y_{1} + y_{2} }{2}).  If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows: M=( \frac{1+12}{2}, \frac{2+14}{2}) which simplifies to (13/2, 8).  See?  It's pretty simple once you know how to do it.
7 0
2 years ago
Y ÷ 4, if y = 3.6 what's the answer
noname [10]
0.9 is the answer hope it helps.
6 0
3 years ago
Read 2 more answers
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