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9966 [12]
3 years ago
6

I need help with this if you get it right I will mark you

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

9514 1404 393

Answer:

  D  9/DF = 18/16

Step-by-step explanation:

Corresponding sides are proportional. The proportions based on a given similarity statement can be written 4 ways.

For these isosceles triangles, the similarity statement could be written either of two ways:

  ΔDEF ~ ΔABC  or  ΔDEF ~ ΔCBA

Corresponding sides will depend on the similarity statement you use. Using the first one, they are ...

  DF and AC (short sides)

  DE and AB (long sides)

  EF and BC (long sides)

For each (short side, long side) pair, we can write the proportion 4 ways:

  • DF/DE = AC/AB  ⇒  DF/9 = 16/18
  • DF/AC = DE/AB  ⇒  DF/16 = 9/18
  • DE/DF = AB/AC  ⇒  9/DF = 18/16 . . . . . matches choice D
  • AC/DF = AB/DE  ⇒  16/DF = 18/9

Using the other pair of long sides, or using the other similarity statement, the numerical proportions are the same as the ones listed above.

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Quadratic formula y=-0.005x^2+0.41x-5.1
bija089 [108]
A quadratic equation has the general formula expressed as:<span>

ax^2 + bx - c = 0

This equation can be solved by the quadratic formula which is expressed as:

x = ( -b (+ or -) √(b^2 - 4ac) / 2a

From the given equation, </span><span> y=-0.005x^2+0.41x-5.1
</span><span>
a = -0.005
b = 0.41
c = -5.1

Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:

</span>x = ( -b (+ or -) √(b^2 - 4ac) / 2a
x = ( -0.41 (+ or -) √(0.41^2 - 4(-0.005)(5.1)) / 2(-0.005)
x1 =66.71
x2 = 15.29

Therefore, the quadratic equation would be factored by using the values of x we obtained as follows:
<span>y= -0.005x^2 + 0.41x - 5.1
</span>y = (x - 66.71) ( x - 15.29 )
8 0
3 years ago
How do you solve this problem?
babymother [125]
Let's solve your equation step-by-step.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span><span><span><span><span>(<span>16</span>)</span><span>(a)</span></span>+<span><span>(<span>16</span>)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span>(<span>13</span>)</span><span>(<span>2a</span>)</span></span>+<span><span>(<span>13</span>)</span><span>(4)</span></span></span></span>(Distribute)<span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>=<span><span><span>23</span>a</span>+<span>43</span></span></span>Step 2: Subtract 2/3a from both sides.<span><span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>−<span><span>23</span>a</span></span>=<span><span><span><span>23</span>a</span>+<span>43</span></span>−<span><span>23</span>a</span></span></span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>=<span>43</span></span>Step 3: Add 2/3 to both sides.<span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>+<span>23</span></span>=<span><span>43</span>+<span>23</span></span></span><span><span><span><span>−1</span>2</span>a</span>=2</span>Step 4: Multiply both sides by 2/(-1).<span><span><span>(<span>2<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>2</span>a</span>)</span></span>=<span><span>(<span>2<span>−1</span></span>)</span>*<span>(2)</span></span></span><span>a=<span>−4</span></span>


7 0
3 years ago
Read 2 more answers
Find two numbers if their sum is 97, and one of them is 9 bigger than the other.
Zepler [3.9K]

Answer:

yes 9 bigger than the other one

7 0
2 years ago
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Gary is trying to save $60 to buy new parts for his bike. He has saved 45% of
eimsori [14]

Answer:

Step-by-step explanation:

Gary need 60 dollars, but he saved only 45%

60*(45/100)=27

he saved only 27 dollars

4 0
2 years ago
What is the vertex of this equation?
AfilCa [17]

Answer:

  (5, 4)

Step-by-step explanation:

The equation can be written in vertex form by adding and subtracting 25:

  y = -(x^2 -10x +25) -21 +25

  y = -(x -5)^2 +4

Then the vertex can be identified as (5, 4).

7 0
2 years ago
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