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3 years ago

11

Which quantity is given by the constant term ?

1 answer:

Marrrta [24]3 years ago

7 0

The general equation of a line in slope-intercept form is:
y = mx + b
where m is the slope and b is the constant term.
If x is put equal to zero the equation becomes:
y = b
therefore the constant term b is the intercept on the y axis, or the y-intercept.

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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.

Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

AD+DB=3

x+DB = 3

DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

$BC^{2} = DB^{2} +CD^{2}$

$BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}$

$BC^{2} =(3-x)^{2} +2$

Since given AD=BC,let us plugin BC=x in above step.

$x^{2} =(3-x)^{2} +2$

$x^{2} =9-6x+x^{2} +2$

6x=11

x= $\frac{11}{6}$

Now we know AD=x= $\frac{11}{6}$ and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

$AC^{2} =AD^{2} +DC^{2}$

$AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}$

$AC^{2} =\frac{193}{36}$

$AC=\sqrt{\frac{193}{36} }$ = 2.315cm

3 0

3 years ago

Can you help me to find the answer please

marishachu [46]

Answer:

45 ?

Step-by-step explanation:

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2 years ago

Natalie put 13 cup of flour in a bowl. Her sister put another 34 cup of flour in the bowl. They need a total of 4 cups of flour

prisoha [69]

Answer:

A. 147

Step-by-step explanation:

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2 years ago

11 12 13 Please help! Will reward brainliest

RoseWind [281]

11. 9/20
12. 13/20
13. 12/20

that's if it doesn't have to be in percentage form

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3 years ago

If f(x) = 5x + 40, what is f(x) when x = -5?<br> оооо

mote1985 [20]

I think it’s 15..
cause you replace the x with -5 and solve the problem

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3 years ago