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
Mama L [17]
3 years ago
14

Gradients of a line and equations (link attached)

Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer:

Gradient of Line ⊥ to AB  = m = 3

B) y = 3x+11

Step-by-step explanation:

A) <u><em>Firstly, finding the slope of AB</em></u>

Gradient = \frac{rise}{run}

Gradient = \frac{y2-y1}{x2-x1}

Gradient = \frac{-2-2}{7+5}

Gradient = \frac{-4}{12}

Gradient = \frac{-1}{3}

<u><em>Now, the line has a gradient of negative reciprocal to this one which is perpendicular to AB</em></u>

So,

Gradient of Line ⊥ to AB  = m = 3

B) <u><em>Equation of line ⊥ to AB:</em></u>

Gradient = m = 3

Now, Point = (x,y) = (-2,5)

So, x = -2, y = 5

<u><em>Putting this in slope-intercept form to get b</em></u>

=> y = mx+b

=> 5 = (3)(-2) + b

=> 5+6 = b

=> b = 11

<em><u>Now, Putting m and b in the slope intercept form to get the required equation:</u></em>

=> y = mx+b

=> y = 3x+11

You might be interested in
A swimming pool is open for 7 1/2 hours during a day. The pool keeps one lifeguard on duty at a time, and each lifeguard's shift
Kitty [74]
7.5 divided by 1.5 is 5 so there are 5 lifeguards throughout the day.
4 0
4 years ago
The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)t where t is the number of years since 1990. What was the po
Alex787 [66]
619.is the base population in 1990
the population increases 4% / year
8 0
3 years ago
Find a in degrees.<br> 3<br> V58<br> 7 <br> ?
s344n2d4d5 [400]

Answer:

  23.20°

Step-by-step explanation:

All three sides of this right triangle are given, so the acute angle of interest can be found using any of the inverse trig functions.

<h3>Trig relation</h3>

The tangent of the angle is the ratio of opposite and adjacent sides:

  Tan = Opposite/Adjacent

Here, that means ...

  tan(α) = 3/7

To find the value of α, we need to use the inverse tangent function, also called the arctangent function.

  α = arctan(3/7) ≈ 23.19859°

  α≈ 23.20°

3 0
2 years ago
Galena is going to make pies. She will put 3 5/8 pounds of berries in each one. Which equation can be used to find b, the total
dangina [55]

Answer:

F

Step-by-step explanation:

b = 3 5/8 × x < -- Times

x is a variable that uses for the representation of the number of pies

Example : 3 pies there

b = 3 5/8 × 3

therefore b = 5.625 pounds

3 0
3 years ago
What is the opposite of all but a diagraph
alina1380 [7]

A digraph or digram (from the Greek: δίς dís, "double" and γράφω gráphō, "to write") is a pair of characters used in the orthography of a language to write either a single phoneme (distinct sound), or a sequence of phonemes that does not correspond to the normal values of the two characters combined.

Digraphs are often used for phonemes that cannot be represented using a single character, like the English sh in ship and fish. In other cases they may be relics from an earlier period of the language when they had a different pronunciation, or represent a distinction which is made only in certain dialects, like <span>English wh</span>. They may also be used for purely etymological reasons, like rh in English. Digraphs are used in some Romanization schemes, like the zh often used to represent the Russian letter ж. As an alternative to digraphs, orthographies and Romanization schemes sometimes use letters with diacritics, like the Czech š, which has the same function as the English digraph sh.

In some languages' orthographies, digraphs (and occasionally trigraphs) are considered individual letters, meaning that they have their own place in the alphabet, and cannot be separated into their constituent graphemes, e.g. when sorting, abbreviating or hyphenating. Examples are found in Hungarian (cs, dz, dzs, gy, ly, ny, sz, ty, zs), Czech (ch), Slovak (ch, dz, dž), Albanian (dh, gj, ll, nj, rr, sh, th, xh, zh) and Gaj's Latin Alphabet (lj, nj, dž). In Dutch, when the <span>digraph ij</span> is capitalized, both letters are capitalized (IJ).

Digraphs may develop into ligatures, but these are distinct concepts – a ligature involves a graphical combination of two characters, as when a and e are fused into æ.

8 0
3 years ago
Other questions:
  • This week an employee is scheduled to work 6 hours each day Monday through Friday, and 3.5 hours on Saturday morning. If the emp
    6·1 answer
  • A solid right circular cone of diameter 14cm and height 8cm is melted to form a hollow sphere. If the external diameter of the s
    8·1 answer
  • Geometry math question please help
    11·1 answer
  • Translate the phrase into an algebraic expression.<br> The product of c and 3.
    6·2 answers
  • How you you work out this question?
    12·2 answers
  • B. Find the sum of 24 and the difference between 4 and 2​
    12·2 answers
  • Please help meeeee I'll give 9 points. Describe a sequence of translations, rotations, and reflections that take the lower left
    8·2 answers
  • 2<br> 1. l = 8 feet<br> w = 32 feet<br> Find the are
    6·1 answer
  • Find the slope of the line that passes through the points (10,8) and (4,12)
    10·1 answer
  • A small manufacturer constructs refrigerators. the fixed monthly cost is $200,000, and it costs $450 to produce one refrigerator
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!