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xz_007 [3.2K]
1 year ago
14

Determine whether the dimensions of each rectangle described of Taylor's first rectangle.

Mathematics
1 answer:
Svetllana [295]1 year ago
8 0

Step-by-step explanation:

yes

no

yes

yes

that is the correct answer

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NO LINKS!!!!!
8090 [49]

9514 1404 393

Answer:

  5x^2 +10x = -5

Step-by-step explanation:

The equation will have one solution when the discriminant is zero.

In standard form, the equation is ...

  ax^2 +10x -c = 0

The discriminant of the equation ax^2+bx+c=0 is  ...

  b^2 -4ac

so the discriminant of your equation is ...

  10^2 -4a(-c) = 100 +4ac

We want that to be zero, so we require ...

  100 +4ac = 0

  25 +ac = 0

  ac = -25

Any pair of values of 'a' and 'c' that have a product of -25 will satisfy the requirement. As you state, one possible pair is a = 5 and c = -5. Putting these values into the given equation makes it ...

  5x^2 +10x = -5 . . . . . the equation with a=5, c=-5

_____

<em>Additional comment</em>

Your problem statement does not require that 'a' be non-zero. If <em>a=0</em>, then the equation will have one real solution for <em>any value of c</em>.

If you restrict the solutions to integers, then possibilities include ...

  (a, c) = (1, -25), (5, -5), (25, -1), (-25, 1), (-5, 5), (-1, 25)

6 0
2 years ago
Angle abd measures (4x+10). angle acd measures (5x-2). what is the measure of arc ad
user100 [1]

Answer:116

Step-by-step explanation: 5x-2=4x+10

x=12

double the angle to get the arc

8 0
3 years ago
Read 2 more answers
Evaluate the function: f(x)= 3x - 5; f(-1)
anastassius [24]

Answer:

-8

Step-by-step explanation:

f(x)=3x-5

f(-1)=3(-1)-5=-3-5=-8

7 0
3 years ago
(b) Out of 200 students in an examination of class IX, 140 passed in Maths, 120 passed in Scien
iren [92.7K]

Answer:

n(U)=200

n(M)=140

n(S)=120

n(MuS)complement=40

n(MuS)=n(U)-n(MuS)complement

=200-40

=160

n(MnS)=n(M)+n(S)-n(MuS)

=140+120-160

=260-160

=100

3 0
3 years ago
Read 2 more answers
Simplify the expression
kozerog [31]
10[(6 + 4) / 2]
10[10/2]
10 * 5
50 <==
8 0
2 years ago
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