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
amm1812
3 years ago
7

Square EFGH is drawn on a coordinate plane. Diagonal GE is on the line y-3=3(x+4). What is the slope of diagonal FH?

Mathematics
2 answers:
alex41 [277]3 years ago
7 0

Answer:

-1/3

Step-by-step explanation:

took test

vova2212 [387]3 years ago
5 0

Answer:

slope = - \frac{1}{3}

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 3 (x + 4) ← is in point- slope form

with slope m = 3

The diagonals of a square are perpendicular to each other.

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{3}

Thus the slope of FH is - \frac{1}{3}

You might be interested in
X+y=1<br> x+3y=9<br><br> Solve<br> (First answer gets brainliest)
Firdavs [7]
X + y = 1
x + 3y = 9

Subtract the second equation from the first.
-2y = -8
divide both sides by -2
y = 4

Plug 4 back into either equation and solve for x.
x + y = 1
x + 4 = 1
subtract 4 from each side
x = -3
(-3, 4)
8 0
3 years ago
Read 2 more answers
Cos ( α ) = √ 6/ 6 and sin ( β ) = √ 2/4 . Find tan ( α − β )
Zina [86]

Answer:

\purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

Step-by-step explanation:

\cos( \alpha ) =  \frac{ \sqrt{6} }{6}  =  \frac{1}{ \sqrt{6} }  \\  \\  \therefore \:  \sin( \alpha )  =  \sqrt{1 -  { \cos}^{2} ( \alpha ) }  \\  \\  =  \sqrt{1 -  \bigg( {\frac{1}{ \sqrt{6} } \bigg )}^{2} }  \\  \\ =  \sqrt{1 -  {\frac{1}{ {6} }}}  \\  \\ =  \sqrt{ {\frac{6 - 1}{ {6} }}}   \\  \\  \red{\sin( \alpha ) =  \sqrt{ { \frac{5}{ {6} }}} } \\  \\  \tan( \alpha ) =  \frac{\sin( \alpha ) }{\cos( \alpha ) }  =  \sqrt{5}  \\  \\ \sin( \beta )  =  \frac{ \sqrt{2} }{4}  \\  \\  \implies \: \cos( \beta )  =   \sqrt{ \frac{7}{8} }  \\  \\ \tan( \beta )  =  \frac{\sin( \beta ) }{\cos( \beta ) } =  \frac{1}{ \sqrt{7} }   \\  \\  \tan( \alpha  -  \beta ) =  \frac{ \tan \alpha  -  \tan \beta }{1 +  \tan \alpha .  \tan \beta}  \\  \\  =  \frac{ \sqrt{5} -  \frac{1}{ \sqrt{7} }  }{1 +  \sqrt{5} . \frac{1}{ \sqrt{7} } }  \\  \\  =  \frac{ \sqrt{35} - 1 }{ \sqrt{7}  +  \sqrt{5} }  \\  \\  \purple{ \bold{ \tan( \alpha  -  \beta ) = 1.00701798}}

8 0
3 years ago
Subtract- a(b-5) from b(5-a)
TiliK225 [7]

Answer:

5b - 5a

Step-by-step explanation:

b(5 - a) = 5b - ab

- a(b - 5) = - ab + 5a

Subtracting gives

5b - ab - (- ab + 5a) ← distribute parenthesis by - 1

= 5b - ab + ab - 5a ← collect like terms

= 5b - 5a

3 0
3 years ago
Write a linear equation with a slope of 14 and y-intercept -12.
Vanyuwa [196]

Answer:

y=14x-12

Step-by-step explanation:

in the standard format y=mx+b, m is the slope and b is the y-intercept, so this equation would be y=14x-12 since the slope is 14 and the y-intercept is -12.

8 0
3 years ago
A gardener uses 1\3 of liter of water to water 2\7 of the garden
andrew11 [14]
The answer is 13 because you add.
4 0
3 years ago
Other questions:
  • What is 250 liters in gallons?
    14·2 answers
  • Beatrice calculated the slope between two pairs of points.
    8·2 answers
  • The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is t
    15·2 answers
  • What is .235 written as a fraction?
    10·2 answers
  • Which expression is equivaien. to 6 (3x + 4)?
    9·1 answer
  • Here again are the results of a survey that students conducted at a mall. The students conducted this survey as part of a statis
    12·1 answer
  • How, I answered like 100 people and now its gone?
    14·2 answers
  • A rectangle has the
    10·1 answer
  • Analyze the solution set of the following system by following the given steps. 2x + y = 5 3y = 9 − 6x Write each equation in slo
    8·1 answer
  • A certain population has been shown to have a 2% annual growth rate. The
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!