1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sati [7]
3 years ago
15

Mathematics challenge

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Get the equation of the line containing PQ using the point-slope formula:

<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))

Solve for <em>y</em> to get it in slope-intercept form:

<em>y</em> = 3/2 <em>x</em> + 7

so the <em>y</em>-intercept is (0, 7).

The line containing QR is then

<em>y</em> - 7 = -3/4 (<em>x</em> - 0)

or

<em>y</em> = -3/4 <em>x</em> + 7

The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:

0 = -3/4 <em>x</em> + 7

3/4 <em>x</em> = 7

<em>x</em> = 4/3×7 = 28/3

So the point R has coordinates (28/3, 0).

You might be interested in
Write 2x=y/3-4 in standard form
Sveta_85 [38]
Look in the attached file to see answer

7 0
3 years ago
Read 2 more answers
Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
KiRa [710]

In the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

In trigonometry, for a right triangle, the <u>sine</u> (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).

In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.

The side opposite to angle J is KL, which has a value of 3 units.

The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.

Thus, sin J can be calculated as:

sin J = KL/JK = 3/7.8 = 5/13 = 0.39.

Thus, in the given right triangle, the trigonometric ratio, <u>sin J</u> has a fractional value of <u>5/13</u> and a decimal value of <u>0.39</u>.

Learn more about trigonometric ratios at

brainly.com/question/20367642

#SPJ1

8 0
2 years ago
Jackie can type 230 words in 4 minutes. Howard can type 296 words in 5 minu
inna [77]

Answer:

A

B

D

Step-by-step explanation:

A 230 divided by 4 is 57.5 which makes A a true statement.

B 296 divided by 5 is 59.2 which makes B a true statement .

D 296 - 230 =66

66 - 57.5 = 8.5

Which makes D a true statement by a margin of 8.5 words.

5 0
3 years ago
Emergency!
Lesechka [4]
Every single one of those expressions factor.  When factored, this is what we have: \frac{(3x-7)(x+3)}{(x+3)(x-2)} * \frac{(2x-7)(x+9)}{(3x-7)(2x+7)}.  After canceling out like factors, what we are left with is this: \frac{1x+9}{1x-2}.  That means that b = 9, c = 1, and d = -2
4 0
3 years ago
The radius and circumference of several objects were measured.
Over [174]

A statement which best describes the strength of the correlation, and the causation between the variables is that: D. it is a strong positive correlation, and it is likely causal.

<h3>What is a positive correlation?</h3>

A positive correlation can be defined as a terminology that is used to described a scenario (situation) in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Hence, when one variable increases, the other increases as well, and vice-versa.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can infer and logically deduce that the value on the y-axis (circumference) increases as the value on the x-axis (radius) increases, so this is a strong positive correlation.

Also, we know that there exist a direct relationship between the circumference of a circle and its radius, so this relationship is most likely causal.

In conclusion, a statement which best describes the strength of the correlation, and the causation between the variables is that it's a strong positive correlation, and it is likely causal.

Read more on positive correlation here: brainly.com/question/10644261

#SPJ1

3 0
2 years ago
Other questions:
  • Find a cubic function that has the roots 5 and 3-2i
    11·1 answer
  • Please need need help on this
    14·2 answers
  • Kayla was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line:
    14·1 answer
  • Please help with this question, thank you
    12·2 answers
  • Which best describes the astmptote of an exponential function of the form F(x) =b^x
    14·1 answer
  • ANSWERS NOW PLZ!!! PLZ IVE BEEN ON THIS QUESTION FOR 30 MINUTES!!
    7·1 answer
  • A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one f
    10·1 answer
  • Randy hung a total of 900 feet of Christmas lights on the exterior of his house this past holiday season. If 1 foot equals 30.48
    5·2 answers
  • 15) pls help I have the answer I just need to show the work.
    9·1 answer
  • 4. (01.03 MC)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!