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Nikitich [7]
4 years ago
7

Solve each system by graphing. y=x2−5x−4 y=−2x

Mathematics
1 answer:
Greeley [361]4 years ago
4 0

Answer:

(-1,2) and (4,-8)

Step-by-step explanation:

You graph it!

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C = 100M/Q Solve the formula for Q.<br><br>Q =
ICE Princess25 [194]

Step-by-step explanation:

please mark me as brainlest

8 0
3 years ago
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Does multiplying a decimal by 0.1 always give the same answer as dividing by 10?expplain.
klasskru [66]
Yes cause both of them are equal to 10% so it has the same value ...
8 0
3 years ago
A rectangular deck has an area of 320 ft squared. The length of the deck is 4 feet longer than the width. Find the dimensions of
AnnyKZ [126]
So, the area of a rectangle is <span>LxW.  </span>For this rectangle, <span>LxW=320.  </span>We also know that the length is 4 feet longer than the width, that is L=W+4.  With some substitution, we get<span>(W+4)W=320.  </span>Simplify to get <span>W^2+4w=320.  </span>Now the fun part!  When we complete the square, we'll end up with (W+___)^2, right?  So, let's take half of 4, which is 2, and square it.  That's 4.  Add that 4 to what we already have:W^2+4W+4.  But remember, what we do to one side of an equation we must do to the other side.  So we really have <span>W^2+4W+4=320+4.</span>We simplify and get <span>W^2+4W+4=324.  </span>Factor the left side of the equation and get<span>(W+2)^2=324.  </span>When we take the square root of both sides of the equation we getW+2=18, so W=16, which means the length (4 ft longer) is 20 ft. Do you have questions about the completing the square part?  In a trinomial, the coefficient in the x term is the sum of the two factors and the constant term is the product.  So, in the completing the square, you have the sum of a number added to itself or 2 times that factor.  That's why we take half of it.  Then, we square it to get the constant term.  Square completed.  But don't forget to keep the balance in the equation by also adding the constant term to the other side. 
3 0
3 years ago
Can anyone help me with these two plz
Evgen [1.6K]

Answer:

Part 1) The scale factor is 1.5

Part 2) The altitude QS is 4\ units

Part 3) The scale factor is \frac{2}{3}

Part 4) The value of x is 12\ units

Part 5) The perimeter of ABCDE is 46\ units

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{NP}{RT}

substitute the values

z=\frac{24}{16}=1.5

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

QS=\frac{6}{1.5}=4\ units

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

z=\frac{AB}{FG}

substitute the values

z=\frac{10}{15}=\frac{2}{3}

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

AE=FK(z)

substitute the values

AE=18(2/3)=12\ units

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

z=\frac{x}{y}

we have

z=\frac{2}{3}

y=15+9+12+15+18=69\ units

substitute the values

z=\frac{x}{y}

x=(z)(y)=\frac{2}{3}(69)=46\ units

6 0
4 years ago
What are the vertical asymptotes of f(x) = 10/ x^2 - 1
Veronika [31]

Vertical asymptotes ares found where the function is undefined.  f(x) is undefined when the denominator equals zero:

x^2-1=0

<em>*Add 1 to both sides*</em>

x^2=1

<em>*Take the square root of both sides*</em>

x=+/-1

There are vertical asymptotes at x=-1 and x=1.

Hope this helps!!

8 0
4 years ago
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