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Volgvan
3 years ago
14

(t + 4)(t + 7) = 54 Find the answer using the zero property

Mathematics
1 answer:
grandymaker [24]3 years ago
5 0

Step-by-step explanation:

(t+4)(t+7)-54=0

t²+7t+4t+28-54=0

t²+11t-26=0

(t-2)(t+13)=0

t-2=0

t=2

t+13=0

t=-13

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ZA and ZB are supplementary angles. If mZA = (5x + 25)° and m
liberstina [14]

Answer:

MZA = 140

Step-by-step explanation:

5x+25°+ x + 17°=180°(Supplimentary Angles)

6x + 42° =180°

6x =180 - 42

6x=138

(divide by 6 both sides)

X= 23

substitution X into the given angle

5x +25

5(23)+25

115+25

140

3 0
3 years ago
What conic section is drawn by the parametric equations x=csc t and y cot?
Vanyuwa [196]
If we take the square of x and square of y and then subtract them:
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 equation 'a' represent the equation of hyperbola which is (x²/a²)-(y²/b²) =1 with given conditions( a=1,b=1)

So, option D is correct
3 0
3 years ago
What is the value of y for the line that has a slope of 1 and goes through the points (-4, y) and (-2, 8)?
Pavel [41]

Answer:

y = 6

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (-4,y) and (-2,8). Substitute m = 1 and solve for y.

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6 0
4 years ago
I don’t understand how to do this
schepotkina [342]

Answer:

The solution is x =0.

Step-by-step explanation:

The equation

\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2

can be rewritten as

2* sin(\dfrac{3\pi }{2} +2) =-2

and can be further simplified to

sin(\dfrac{3\pi }{2}+x ) =-1.

Now, taking the inverse sine of both sides we get:

sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)

\bold{(2).}\:  \dfrac{3\pi }{2} +2 =sin^{-1}(-1)

The value of the right side on the interval [0,2\pi) is

sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o) ,

which makes the equation (2)

\dfrac{3\pi }{2}+x  =\dfrac{3\pi}{2}

solving for x gives

\boxed{x = 0}

which is our solution.

4 0
3 years ago
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avanturin [10]

Answer:

A. 24

Step-by-step explanation:

7 0
3 years ago
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