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3 years ago

How many x-intercepts does the graph of the parabola x = -2y^2 + y + 1 have?

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

I think (not 100% sure) there is 1

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

8 0

3 years ago

Read 2 more answers

Lee is thinking of 2 numbers, the product is 18.the quotient is 2. what are yhe two numbers?

jeka94

$xy=18\\
\dfrac{x}{y}=2\\\\
xy=18\\
x=2y\\\\
2y\cdot y=18\\
2y^2=18\\
y^2=9\\
y=-3 \vee y=3\\\\
x=2\cdot (-3) \vee x=2\cdot 3\\
x=-6 \vee x=6\\\\
\boxed{(x,y)=\{(-6,-3),(6,3)\}}$

4 0

4 years ago

Hellppp I'm slowee don't know anything

miss Akunina [59]

Answer: B) X=40

cuz i just know

5 0

3 years ago

4/r=5/7solve for r. Help pls

antiseptic1488 [7]

Hello!

You first cross multiply

4 * 7 = 28

5 * r = 5 * r

r * 5 = 28

Divide both sides by 5

r = 28/5 = 5.6

The answer is 28/5 or 5.6

Hope this helps!

4 0

3 years ago

Read 2 more answers

What is the mode for the data set? 59,57,56,50,58,51,54,59,55,52,53 (multiple choice)

jok3333 [9.3K]

The mode for this is 59

Other stuff you may need:
Range - 9
Median - 55
Mean - 54.909

4 0

4 years ago

Read 2 more answers