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3 years ago

What is the graph of 6x + 3y= 18

Mathematics

1 answer:

marusya05 [52]3 years ago

6 0

It will be graph C. y=-2x+6

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A TV station wants to conduct a survey to determine which sport should be shown on Sunday in the viewing area: a football game o

love history [14]

Answer:

I'm not completely sure about this. The answer is B.) Sample 2: 50 boys and 50 girls at the local middle school. :)

Step-by-step explanation:

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3 years ago

What is the value of x in the equation 3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

Sedaia [141]

Answer:

-37/68

Step-by-step explanation:

3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4

(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4

(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4

10x+4=3/2x-5/8

37/8=-17/2x

37/8 (2)=-17/2x(2)

37/4=-17x

37/68=-x

-37/68=x

4 0

3 years ago

Witold says that 50% of a number will always be greater than 20% of any other number. Complete one inequality to support Witold'

Lelu [443]

.50 x 2 < .20 x 100
1 < 20

50% of 2 is not greater than 20% of 100.

4 0

3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

3 years ago

The double number lines show the ratio of minutes to days.<br> How many minutes are in 2 days?

cluponka [151]

2880 minutes in 2 days

8 0

3 years ago

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