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2 years ago

8

Which is the equation for the line that has a slope of 12 and passes through the point (3, 20)?

1 answer:

Anna007 [38]2 years ago

4 0

Answer:

the first one

Step-by-step explanation:

y-y1=m(x-x1)

y-20=12(x-3)

$y-20+20=12\left(x-3\right)+20$

simplify:

$y=12x-16$

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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

$\rm j^2 = h^2 + i^2 -2hicosC$

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

$\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8$

Hence, the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

#SPJ1

3 0

1 year ago

Kristen is 64 inches tall, and she stands 12 feet away from a streetlight. If she casts an 82-inch-long shadow, how tall is the

o-na [289]

Answer:

176.39 inches or

14.70 feet

Step-by-step explanation:

Consider the right triangle made by Kristen, ground and shadow.

This triangle has one leg as 64 inches.

Next consider the right triangle formed by street light, ground upto shadow tip.

The two triangles have common angle of elevation and also another angle as 90 degrees.

Hence the two triangles would be similar

Also if A is the angle made by hypotenuse of both triangles with the ground we have

$tanx=\frac{64}{82}$

This value also equals by bigger triangle as

$tanx=\frac{h}{82+12(12)}=\frac{h}{226}$

From these two we get

h = height of street light = $\frac{226(64)}{82} =176.39$

6 0

2 years ago

(5×10^-5) +(2.46×10^-3)

maxonik [38]

My work to your question

5 0

3 years ago

If c(x) = 4x – 2 and d(x) = x^2 + 5x, what is (c * d) (x)?

anyanavicka [17]

Answer:

(4x - 2)(x^2 + 5x)

4x^3 + 20x^2 - 2x^2 - 10x

4x^3 + 18x^2 - 10x

Step-by-step explanation:

7 0

2 years ago

Complete the square for the expression, then factor the trinomial.

Nuetrik [128]

Answer:

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

Step-by-step explanation:

We need to complete the square for the expression $x^2-4x$

For completing the square the expression would be of form $a^2+2ab+b^2=(a+b)^2$

For given expression we have to add (2)^2 and subtract to make it complete the square.

$x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2$

Now, we have to factor the polynomial using formula $(a)^2-(b)^2=(a-b)(a+b)$

So, $(x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)$

Completing the square we get: $(x-2)^2-(2)^2$

and factoring the term we get: $x(x-4)$

5 0

2 years ago