MATHEMATICS HIGH SCHOOL

Equation of the line passing through the points 4,11 and -1,-14

Answers

Answer 1

Answer:

Answer: y = 5x -9

Step-by-step explanation:

first grt slope:

m = rise / run

m = (11- -14) / (4 - -1)

m = (25) / (5) = 5

y - 11 = 5* (x - 4)

Y = 5x -9

From MysticAlanCheng

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Instructions:Select the correct answer from each drop-down menu.Jeremy is shopping online for skating equipment. He buys a long board complete with trucks and wheels for $146.25. At checkout, Jeremy gets a discount of $21 on his purchase. The final amount that Jeremy will be billed is $_____.

A.) 42.00
B.) 104.25
C.) 125.25
D.) 167.25

Answers

146.25
- 21.00
-----------
125.25

answer is C.

What is 0.021 in fraction form?

Answers

Convert the decimal to a fraction by placing the decimal number over a power of ten. Since there are three numbers to the right of the decimal point, place the decimal number over 10^3 (1000)
= 21/1000

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.

Answers

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12

The absolute value inequality is

$|x-20|\leq 0.12$

Given :

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer

We need to write the given inequality in absolute value inequality

if $a-b<x<a+b$ then absolute value inequality is

$|x-a|< b$

To find out value of 'a' and 'b' we need to use the given inequality

compare a-b<x<a+b with given inequality

$a-b=19.88\na+b=20.12$

Solve for 'a' and 'b'

Add both equations

$2a=40\na=20$

Now find out b

$a+b=20.12\n20+b=20.12\nb=20.12-20\nb=0.12$

The required absolute value inequality is

$|x-a|\leq b\n|x-20|\leq 0.12$

Learn more : brainly.com/question/1770168

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12

What is the midpoint of the x-intercepts of f(x) = (x – 2)(x – 4)? A)(–3,0)
B)(–1,0)
C)(1,0)
D)(3,0)

Answers

Answer:

The correct option is D.

Step-by-step explanation:

The given function is

$f(x)=(x-2)(x-4)$

From the given graph it is clear that x-intercepts of the graph are (2,0) and (4,0).

The midpoint of x-intercepts is

$Midpoint=((x_1+x_2)/(2),(y_1+y_2)/(2))$

$Midpoint=((2+4)/(2),(0+0)/(2))$

$Midpoint=((6)/(2),(0)/(2))$

$Midpoint=(3,0)$

The midpoint of x-intercepts is (3,0). Therefore the correct option is D.

The x-intercepts are readily identified on the graph: (2,0) and (4,0). The midpoint of a line connecting those 2 points would be (3,0).

The area of a right triangle is 270 m². The height of the right triangle is 15 m. What is the length of the hypotenuse of the right triangle?

Answers

The area of a triangle is calculated by the expression given as:

Area = bh/2

where b is the base and h is the height.

We calculate as follows:

270 = b (15) / 2
b = 36

hypotenuse = sqrt ( 15^2 + 36^2 ) = 39

Answer:

hypotenuse = 39m

Step-by-step explanation:

Area of a triangle= 1/2 * base * height

where base = ?

height = 15

Plugin values into the formula:

270 = 1/2 base (15)

base = 270 (2)

base = 36

hypotenuse = √(base² + height²)

= √( 36² + 15² )

= 39

What is the tangent ratio of an obtuse angle 7/25

Answers

Answer:

Step-by-step explanation:

In a right-angled triangle, the tangent ratio of an acute angle = the ratio of the length of the opposite side to the length of the adjacent side.

Lets say angle A= 150 degrees (obtuse)

to find its corresponding acute angle, we need to subtract 150 from 180 degrees, that is, 180-150= 30 degrees.

Considering a right triangle where angle B=30 degrees. now assuming that the opposite side of angle B has a length of 7 while the adjacent side has a length of 25.

So, the tangent ratio of angle B= the ratio of the length of the opposite side to the length of the adjacent side.

So far we have:

tan B = opposite/adjacent = 7/25

and because angle A is obtuse, its tangent ratio is the negative of the tangent ratio of its corresponding acute angle.

So, tan A = -tan 30 = -1/√3 or approximately -0.577.

Step-by-step explanation:

first of all

tan(x) = sin(x)/cos(x)

that is the tangent ratio.

so, the question is also, what happens to sine and cosine for obtuse angles.

remember the trigonometric triangle inside the circle.

sine is the up/down leg (up = positive, down = negative), cosine is the left/right leg (and extension of the leg; of left from the center = negative, if right from the center = positive).

so, for an obtuse angle (90° < angle <= 180°) sine is still up and therefore positive, but cosine is left from the center and therefore negative.

for that reason tan(angle) = sin(angle)/cos(angle) is negative.

in fact, it is -tan(180 - angle).

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