A walking path across a park is represented by the equation y=-2x-7. A
new path will be built perpendicular to this path. The paths will intersect at
the point (-2,-3). Identify the equation that represents the new path.

A. y = 1/2 x - 2

B. y = 2x +1

C. y = -2x-7

D. y = -1/2 x- 4

Answer:

C)

Step-by-step explanation:

The midpoint is the average of the two points.

Thus,

Midpoint = [ ( 7 + 3i) + (-5 - 8i) ] / 2 = ( (7-5) + i(3-8) ) / 2 = (2 - 5i)/2 = 1 - 2.5i

According to the calculations made, 28 students study both subjects, and 1/2 of the class studies biology but not physics.

Given that in a class of 80 students 3/4 study biology and 3/5 study physics, to determine, if each student studies at least one of the subjects, how many students study both subjects, and find the fraction of the class that study Biology but not physics, the following calculation must be performed:

Therefore, 28 students study both subjects.

Therefore, 1/2 of the class studies biology but not physics.

Learn more in https://brainly.com/question/1301963

Answer:

27 x^( 6 )y^( 9)

Step-by-step explanation:

Answer:

10 months

Step-by-step explanation:

30x=22x+80

8x=80

x=10

°★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　 　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 . ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 .　 *　:.　.　¸ . ● ¸ 　　　★　　★☾ °★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　 　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 . ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　　　° ☾ ° 　¸. ● ¸ .　　★　° :.　 . • ° 　 .　 *　:.　.　¸ . ● ¸ 　　　★　　★☾ °★ . 　　　　.　 °☆ 　. ● ¸ .　　　★　° .　 • ○ ° ★　 .　 　　　　　　*　.　 ☾ ° 　¸. * ● ¸ 　　　　° ☾ °☆ 　. * ¸.　　　★　 ★ ° . .　　　　.　☾ °☆ 　. * ● ¸ .　　　★　° :.　 . • ○ ° ★　 .　 *　.　　　　　　. 　 ° 　. ● .　　　　° ☾ °☆ 　¸. ● .　　★　　★ ° ☾ ☆ ¸. ¸ 　★　 :.　 . • ○ ° ★　 .　 *　.　.　　¸ .　　 ° 　¸. * ● ¸ .　　° ☾ ° 　¸. ● ¸ .　

[tex]join \: bunny \: squad[/tex]

[tex]join \: bunny \: squad[/tex]

btw,, the formula you insert is incorrect:)

Answer:

haysst pa brainliest po

salamat sa ponts

Answer:

7.8%

Step-by-step explanation:

Yesterday’s price =$3.20

Today’s price =$3.45

Increase =today’s price - yesterday’s price

That’s $3.45 - $3.20

= $0.25

Percentage increase = increment /yesterday’s price x 100%

That’s $0.25/$3.20 x 100%

0.0781 x 100%

7.81

7.8%

__________

[tex] \: [/tex]

[tex] \frac{x + 2}{x - 1} = ...[/tex]

[tex] \longmapsto \frac{ \cancel{x} + 2}{ \cancel{x} - 1} [/tex]

[tex] \longmapsto \frac{2}{ - 1} [/tex]

[tex] \longmapsto \boxed{ \bold{ \red{ - 2}}}[/tex]

Answer:

48 days

Step-by-step explanation:

20% of 60 is 12

60-12=48

Answer:

48

Step-by-step explanation:

20% of 60 is 12, 60-12=48

Hope that helps

Answer:

3w + x/z + y

That is simplest form

In probabilities, variables p and q are often used as complements of another.

The relationship between variables p and q is:

[tex]\mathbf{p+ q = 1}[/tex]

So, we have:

(a) p = 0.579

Substitute 0.579 for p in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{0.579 + q = 1}[/tex]

Make q the subject

[tex]\mathbf{q = 1 - 0.579}[/tex]

[tex]\mathbf{q = 0.421}[/tex]

The value of q is 0.421

(b) q = 0.871

Substitute 0.871 for q in [tex]\mathbf{p+ q = 1}[/tex]

[tex]\mathbf{p + 0.871 = 1}[/tex]

Make p the subject

[tex]\mathbf{p = 1 - 0.871}[/tex]

[tex]\mathbf{p = 0.129}[/tex]

The value of p is 0.129

Read more about probability complements at:

https://brainly.com/question/10198002

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

Step-by-step explanation:

Consider that:

Fill in the blanks

Row 1    ⇒ 2 and -5

Solve using two values:

Row 2   ⇒ -5 and 5

Row 3    ⇒ - 6 and 4

Row 4     ⇒ -6/7 and 2/5

Answer:

D

Step-by-step explanation:

First, we will move the variable to the left-hand side and change its sign: 5x + 3 - 10x = -17

Next, we need to collect like terms: -5x = -20

Finally, we will divide both sides of the equation by -5 to give us the answer of x = 4.

Answer:

A

Step-by-step explanation:

Answer:

∠A = 100

∠B = 50

∠C = 30

Step-by-step explanation:

Sum of all angles of triangle = 180

∠A + ∠B + ∠C = 180

2x +x + x - 20 = 180  {Combine like terms}

4x - 20 = 180      

Add 20 to both sides

4x = 180 + 20

4x = 200

Divide  both sides by 4

x = 200/4

x = 50

∠A = 2x = 2*50 = 100

∠B = x = 50

∠C = x - 20 = 50 - 20 = 30

Answer: There are 70 women and 35 men.

Step-by-step explanation:

105 divided by 3 is 35 and 105 - 35 is 80.

Answer:

^2+2−3

Step-by-step explanation:

Answer: the coefficient of x in the expansion is 2

Step-by-step explanation:

(x+3)(x-1)= (x)(x) + (x)(-1) + (3)(x) + (3)(-1)

which equals x^2 -x +3x -3 which is x^2 +2x -3

the leading coefficient of x^2 1. and the coefficient of x is 2.

Answer:

y = 5x -1

............

Answer:

SAS

Step-by-step explanation:

The included angle is similar and they have corresponding sides.

Answer:

91.44 cm

Step-by-step explanation:

2.54 x 12 = 30.48 cm per foot

30.48 x 3 = 91.44cm

Answer:

Step-by-step explanation:

[tex](\dfrac{1}{2}a-\dfrac{2}{3}b)(\dfrac{3}{5}a+\dfrac{2}{3}b)=\dfrac{1}{2}a*(\dfrac{3}{5}a+\dfrac{2}{3}b) - \dfrac{2}{3}b*(\dfrac{3}{5}a+\dfrac{2}{3}b) \\\\\\= \dfrac{1}{2}a*\dfrac{3}{5}a + (\dfrac{1}{2}a*\dfrac{2}{3}b) - \dfrac{2}{3}b*\dfrac{3}{5}a- \dfrac{2}{3}b*\dfrac{2}{3}b\\\\\\=\dfrac{3}{10}a^{2} + \dfrac{1}{3}ab - \dfrac{2}{5}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2} +\dfrac{1*5}{3*5}ab-\dfrac{2*3}{5*3}-\dfrac{4}{9}b^{2}\\\\\\[/tex]

[tex]=\dfrac{3}{10}a^{2}+\dfrac{5}{15}ab-\dfrac{6}{15}ab -\dfrac{4}{9}b^{2}\\\\=\dfrac{3}{10}a^{2}-\dfrac{1}{15}-\dfrac{4}{9}b^{2}[/tex]

[tex] \large\underline{\sf{Solution-}}[/tex]

Given Logarithmic expression is

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

Let first factorize 729

[tex]\begin{gathered}\begin{gathered}\begin{gathered} \:\: \begin{array}{c|c} {\underline{\sf{3}}}&{\underline{\sf{\:\:729 \:\:}}}\\ {\underline{\sf{3}}}& \underline{\sf{\:\:243 \:\:}} \\\underline{\sf{3}}&\underline{\sf{\:\:81\:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:27 \:\:}} \\ {\underline{\sf{3}}}& \underline{\sf{\:\:9\:\:}}\\\underline{\sf{}}&{\sf{\:\:3 \:\:}} \end{array}\end{gathered}\end{gathered}\end{gathered}[/tex]

So,

[tex] \purple{\rm \longmapsto\:729 = 3 \times 3 \times 3 \times 3 \times 3 \times 3}[/tex]

[tex] \purple{\rm \longmapsto\:729 = {3}^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( [{ \sqrt{3} ]}^{2}) }^{6} }[/tex]

[tex] \purple{\rm \longmapsto\:729 = {( \sqrt{3} )}^{12}}[/tex]

So,

[tex]\rm \longmapsto\: log_{ \sqrt{3} }(729) [/tex]

can be rewritten as

[tex]\rm \:  =  \: log_{ \sqrt{3} }( {( \sqrt{3}) }^{12} ) [/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ log_{a}( {a}^{x} ) \: = \: x \: }}}[/tex]

So, using this identity, we get

[tex]\rm \:  =  \: 12[/tex]

Hence,

[tex] \green{\rm\implies \:\boxed{\tt{ \: \: log_{ \sqrt{3} }(729) \: = \: 12 \: \: }}}[/tex]

Answer: (2, -3)

Step-by-step explanation:

To find the the answer, you will need to use the midpoint formula, which is as following:

(x₁+x₂/2, y₁+y₂/2)

Since we have two coordinates, let's substitute them into the equation.

(7 + (-3 )/ 2, (-4) + (-2)/2)

We should first add 7 and -3 together, as well as -4 and -2.

(4/2, -6/2)

We then divide 4 and -6 by 2. This would give us our midpoint coordinate.

(2, -3)

Answer:

∅=30°

Step-by-step explanation:

[tex]sin[/tex]∅[tex]=\frac{1}{\sqrt{3} }sin60^{0}[/tex]

sin∅=[tex]\frac{\frac{\sqrt{3} }{2} }{\sqrt{3} } =\frac{\sqrt{3} }{2\sqrt{3} }=\frac{1}{2}[/tex]

∅=[tex]sin^{-1}(\frac{1}{2})= 30^{0}[/tex]

I hope this help you

Point-slope form is: y - y1 = m ( x - x1 )

You plug in your slope for m and the x and y values from that point for x1 and y1.

    y - (-8) = -3/4 ( x - (-3) )

Be sure to clean up the "minus a negative" to get

    y + 8 = -3/4 ( x + 3 )

Answer:

45 miles in 3 days

Step-by-step explanation:

if she drives 3 miles an hour for 5 hours a day that would be 3x5=15

15x3 days=45 miles in 3 days