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4 years ago

This is a true or false answer please help me**

Mathematics

1 answer:

Nitella [24]4 years ago

3 0

Answer:

5False

6 true

7 true

Step-by-step explanation:

5 Complementary angles add to 90 degrees not 180 degrees

6 40+50 = 90 so they are complementary

7 Supplementary angles add to 180

145+x = 180

Subtract 145 from each side

145-145 +x = 180-145

x = 35

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

3 years ago

1. 8x-2y = -24

mel-nik [20]

Answer:

8x-2y = -24

Step-by-step explanation:

Slope = 34

Y-intercept = 7

7 0

3 years ago

What is the answer to -1 5/8 × 2 2/3

Yuri [45]

Answer: -13/3

Step-by-step explanation: -1 5/8 -> -13/8 2 2/3-> 8/3

-13/8 x 8/3 = -104/24

= -13/3 OR -4 1/3

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3 years ago

A steel pipe 50 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If the density of the steel is 7.8 gra

never [62]

Answer:

the volume is 50x1.8x2

v=180cm³

therefore, density is mass/volume

Step-by-step explanation:

mass =density x volume

mass= 7.8 x 180cm³

mass= 1,404grams

4 0

3 years ago

Three points of a function are graphed. A coordinate plane with 3 points plotted at (10, 18), (14, 24), and (18, 30). Which stat

jeyben [28]

Answer:

i think its option 2

Step-by-step explanation:

7 0

3 years ago

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