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lana66690 [7]
3 years ago
6

Find the x-intercept of the following equation: 9x^2 + 2y=18

Mathematics
1 answer:
Komok [63]3 years ago
6 0

Step-by-step explanation:

To get the x-intercept, set y = 0. Then solve for x:

9 {x}^{2}  = 18 \\ x =  \sqrt{2}

Therefore, the x-intercept is

( \sqrt{2}  \:  \:  \:  \: 0)

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Solve for z -7(z-6)=-70
Stels [109]

Answer:yes

Step-by-step explanation:

7 0
3 years ago
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The expression x2 - 10x + 24 is equivalent to (1) (x + 12)(x - 2) (3) (x + 6)(x + 4) (2) (x - 12)(x + 2) (4) (x - 6)(x - 4)
Oksi-84 [34.3K]

Answer:

D) (x-6)(x-4)

Step-by-step explanation:

(x-6)(x-4)=x^2-6x-4x+24=x^2-10x+24

3 0
3 years ago
2 d2 + 15d + 23 = 3<br> It’s quadratic formula
DENIUS [597]

Answer:

-15 plus or minus the square root of 65 all over 4 (All over means fraction)

4 0
3 years ago
An unprepared student makes random guesses for the ten​ true-false questions on a quiz. Find the probability that there is at le
hoa [83]

Answer:

0.999

Step-by-step explanation:

At least 1 correct means, 1 correct, 2 correct, 3 correct ... until 10 correct. That would be a long process to calculate.

<em>Instead we use the complement rule to calculate.</em>

<em>P(x\geq1)=1-P(x</em>

<em />

<em>So we need to find P(x<1). So this is getting 0 answers correct, or 10 incorrect.</em>

<em />

In true false question, probablity of correct is 1/2 and incorrect is 1/2, hence,

Probability of 10 incorrect is (1/2)^10

Thus,

P(x\geq1)=1-(\frac{1}{2})^{10}=0.999

So the answer is 0.999 (rounded to nearest thousandth)

3 0
3 years ago
Anyone know how to do this??
Ghella [55]

Answer:

csc²(x)

Step-by-step explanation:

csc(x) = 1/sin(x)

sin²(x) + cos²(x) = 1

=> cos²(x) = 1 - sin²(x)

cos(2x) = cos²(x) - sin²(x) = (1 - sin²(x)) - sin²(x) =

= 1 - 2×sin²(x)

=> 2×sin²(x) = 1 - cos(2x)

sin²(x) = 1/2×(1-cos(2x))

=> 1 - cos(2x) = 2×(1/2×(1-cos(2x)) = 2×sin²(x)

=> 2 / (1-cos(2x)) = 2 / (2×sin²(x)) = 1/sin²(x) =

= 1/sin(x) × 1/sin(x) = csc(x)×csc(x) = csc²(x)

6 0
3 years ago
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