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2 years ago

Find the slope of the line that passes through the

Mathematics

1 answer:

Lana71 [14]2 years ago

7 0

Answer:

The slope of the line that passes through the points is 0 slope. That is B is the answer.

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What is the fully factored form of the expression 16x^2 - 49y^2

podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1 ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

6 0

2 years ago

Match each value with its formula for ABC.

Ivahew [28]

For the triangle ABC use the sine theorem:

$\dfrac{a}{\sin A}= \dfrac{b}{\sin B}= \dfrac{c}{\sin C}$ .

1. From $\dfrac{a}{\sin A}= \dfrac{b}{\sin B}$ you have $\dfrac{a}{b} \cdot \sin B=\sin A$ .

2. From $\dfrac{b}{\sin B}= \dfrac{c}{\sin C}$ you have $\dfrac{b}{c} \cdot \sin C=\sin B$ .

3. From $\dfrac{a}{\sin A}= \dfrac{c}{\sin C}$ you have $\dfrac{c}{a} \cdot \sin A=\sin C$ .

4. From $\dfrac{a}{\sin A}= \dfrac{c}{\sin C}$ you have $\dfrac{\sin A}{\sin C} \cdot c=a$ .

5. From $\dfrac{a}{\sin A}= \dfrac{b}{\sin B}$ you have $\dfrac{\sin B}{\sin A} \cdot a=b$ .

6. From $\dfrac{b}{\sin B}= \dfrac{c}{\sin C}$ you have $\dfrac{\sin C}{\sin B} \cdot b=c$ .

5 0

2 years ago

Read 2 more answers

If cos(θ)=2853 with θin Q IV, what is sin(θ)?

marysya [2.9K]

Answer: $\sin \theta=\frac{-45}{53}$

Step-by-step explanation:

Since we have given that

$\cos\theta=\frac{28}{53}$

And we know that θ is in the Fourth Quadrant.

So, Except cosθ and sec θ, all trigonometric ratios will be negative.

As we know the "Trigonometric Identity":

$\cos^2\theta+\sin^2\theta=1\\\\\sin \theta=\sqrt{1-\cos^2\theta}\\\\\sin \theta=\sqrt{1-(\frac{28}{53})^2}=\sqrt{\frac{53^2-28^2}{53^2}}\\\\\sin \theta=\sqrt{\frac{2025}{53^2}}\\\\\sin \theta=\frac{45}{53}$

It must be negative due to its presence in Fourth quadrant.

Hence, $\sin \theta=\frac{-45}{53}$

7 0

2 years ago

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price. Find the cost price.

hjlf

Answer:

Step-by-step explanation:

<h2><u>☼︎</u><u>Answer:</u></h2>

The cost price of cow = Rs.80

Explanation:

<h2><u>☼︎</u><u>Given :-</u></h2>

By selling a cow for Rs 144, there is a profit of the same percentage as its cost price.

The cost price.

The cost price of cow = Rs.x

<h2><u>☼︎</u><u>Solution :-</u></h2>

$\sf x + x \: of \: x\%= 144 \\ \\ \sf \implies x + \frac{x \times x}{100} = 144 \\ \\ \sf \implies {x}^{2} + 100x - 14400 = 0 \\ \\ \sf \implies x(x - 80) + 180(x - 80) = 0 \\ \\ \sf \implies x + 180 = 0 \\ \\ \sf \implies x = - 180 \\ \\ \sf \therefore \: {\boxed{ \sf \pink{x = 80}}}$

<h2><u>Hence: </u></h2>

The cost price of cow =<u>R</u><u>s</u><u>8</u><u>0</u>

4 0

2 years ago

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Express as a fraction in simplest form: 43.5%

valkas [14]

Answer:

43.5/100

Step-by-step explanation:

5 0

2 years ago

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