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erma4kov [3.2K]
3 years ago
8

Solve.

Mathematics
1 answer:
Firdavs [7]3 years ago
3 0
The answer is d is less than 6
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The two shorter sides of a triangle are the same length. the length of the longer side is 5 m longer than each of the shorter si
ziro4ka [17]
P=a+b+c. Sub in what we know: 29=a+a+(a+5). Combine like terms: 29=3a+5. Subtract 5 from both sides: 24=3a. Divide by 3: 8=a. Short sides: A=8m, b=8m, long side: c=13m. :)
4 0
3 years ago
Solve the system of linear equations below.
Mrac [35]

Answer:

I am not sure which one it is due to what you put in. I think it would be A.

x = 0

y = 2/3

Step-by-step explanation:

Step: Solve x + 6y= 4 for x:

x + 6y + −6y = 4 + −6y

x= −6y + 4

Step: Substitute −6y + 4 for x in 2x + 3y = 2:

2x + 3y = 2

2 (−6y + 4) + 3y = 2

−9y + 8 = 2

−9y + 8 + −8 = 2 + −8

−9y = −6

-9y/-9 = -6/-9

y = 2/3

Step: Substitute 2/3  for y in x = −6y + 4:

x = −6y + 4

x = -6 (2/3) + 4

x = 0

Sorry if it is long and confusing. But I hope this helps!

3 0
3 years ago
If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fo
amm1812

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

(f \circ g)(x) = f(g(x))

In this case:

f(x) = 4x^2 - 8x - 20

g(x) = 2x + a

So

(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

4a^2 - 8a - 20 = 25

4a^2 - 8a - 45 = 0

Solving a quadratic equation, by Bhaskara:

\Delta = (-8)^2 - 4(4)(-45) = 784

x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5

x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

5 0
3 years ago
Describe the change that occurs to the coordinates of a vertex of a figure when it is reflected across the Y axis
cupoosta [38]

The sign of the x-coordinate changes; the y-coordinate stays the same.

7 0
4 years ago
A set of equations is given below: Equation E: m = 4n + 1 Equation F: m = 6n + 8 Which statement describes a step that can be us
Lelu [443]
8-6=2 n=0 your very welcome!
6 0
3 years ago
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