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Leto [7]
4 years ago
7

HELP MATH QUESTION GEOMETRY

Mathematics
1 answer:
labwork [276]4 years ago
6 0

Answer:

Step-by-step explanation:how do i use this site im new

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In order for two lines to be parallel they must have the same
PolarNik [594]

Answer:

They must have the same slope, but different y-intercepts

Step-by-step explanation:

Slope is rise over run, or the rate of change

8 0
3 years ago
Factorise completely 9a^2-1
aleksandr82 [10.1K]

Answer:

(3a-1)(3a+1)

Step-by-step explanation:

We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.

x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1

8 0
4 years ago
Read 2 more answers
Mia throws two fair dice together. What is the probability of scoring exactly one 6? The table below shows the 36 mutually exclu
Kazeer [188]

Answer:

5/18

Step-by-step explanation:

If we count all of the outcomes in the table with exactly one 6 in it, we will see that there are 10 outcomes that do so, and this is out of 36, so the probability will be 10/36 or 5/18.

6 0
4 years ago
Divide. (3 3/4)÷(−2 1/2) Enter your answer as a mixed number, in simplified form, in the box.
neonofarm [45]
3 \frac{3}{4} = \frac{15}{4}

Because (4*3) + 3 = 15. Similary find the improper fraction for -2 1/2.

(15/4) / (-5/2) = -3/2

Convert -3/2 into a mixed fraction. 

Therefore, -3/2 = -1 1/2.
6 0
3 years ago
Read 2 more answers
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
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