The vertices of a triangle are P(-6,1), Q(-2,-5) and R(8,1).

Find the equation of the perpendicular bisector of the side QR

Answers

Answer 1

Answer:

Step-by-step explanation:

Find the slope of QR. From that we can find the the slope of the line perpendicular to QR.

Q(-2, -5)   & R(8,1)

[tex]Slope \ = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{1-[-5]}{8-[-2]}\\\\=\frac{1+5}{8+2}\\\\=\frac{6}{10}\\\\=\frac{-3}{5}[/tex]

So, the slope of the line perpendicular to QR =  -1/m - 1÷ [tex]\frac{-5}{3} = -1*\frac{-3}{5}=\frac{3}{5}[/tex]

Bisector of QR divides the line QR to two half. We have find the midpoint of QR.

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

               [tex]=(\frac{-2+8}{2},\frac{-5+1}{2})\\\\=(\frac{6}{2},\frac{-4}{2})\\\\=(3,-2)[/tex]

slope = 3/5  and the required line passes through (3 , -2)

y - y1 = m(x-x1)

[tex]y - [-2] = \frac{3}{5}(x - 3)\\\\y + 2 = \frac{3}{5}x-\frac{3}{5}*3\\\\y=\frac{3}{5}x-\frac{9}{5}-2\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{2*5}{1*5}\\\\y=\frac{3}{5}x-\frac{9}{5}-\frac{10}{5}\\\\y=\frac{3}{5}x-\frac{19}{5}[/tex]


Related Questions

plz help me out with the answer and explaination

Answers

Answer:

7500 m

Step-by-step explanation:

5500 is the initial height. It increased by 1500, so 5500 + 1500 = 7000. Then it went down 2000 meters, so 7000 - 2000 = 5000. It went up 2500 again. 5000 + 2500 = 7500

what is the measure of angle D?​

Answers

Answer:

57

Step-by-step explanation:

The correct answer is 52°

Solve the equation and enter the value of x below. 3(x+11) + 5= 68​

Answers

[tex]\boxed{ \sf{Answer}} [/tex]

[tex]3(x + 11) + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 38 = 68 \\ 3x = 68 - 38 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐

[tex] \huge\boxed{\mathfrak{Answer}}[/tex]

[tex]3(x + 11) + 5 = 68 \\ 3 \times x + 3 \times 11 + 5 = 68 \\ 3x + 33 + 5 = 68 \\ 3x + 33= 68 - 5 \\ 3x + 33= 63 \\ 3x = 63 - 33 \\ 3x = 30 \\ x = \frac{30}{3} \\ x = 10[/tex]

W=VI. Make V the subject of formula​

Answers

Answer:

hope that is helpful

Step-by-step explanation:

W= VI

W= VI

I. I

V= W

I

Answer:

V = [tex]\frac{W}{I}[/tex]

Step-by-step explanation:

Given

W = VI ( isolate V by dividing both sides by I )

[tex]\frac{W}{I}[/tex] = V

What is the slope of y = - x + 7

Answers

[tex] \green{\huge{\red{\boxed{\green{\mathfrak{QUESTION}}}}}} [/tex]

What is the slope of y = - x + 7

[tex] \red{ \bold{ \textit{STANDARD \: EQUATION}}}[/tex]

[tex]y = mx + c[/tex]

[tex]WHERE \\ m = SLOPE \\ c = Y - INTERCEPT[/tex]

[tex] \huge\green{\boxed{\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}}}[/tex]

[tex] \blue{A.T.Q}[/tex]

[tex]y = mx + c \sim y = ( - 1)x + 7[/tex]

[tex] \orange{SO}[/tex]

m= (-1)

which is equal to the slope of the equation .

[tex] \red \star{Thanks \: And \: Brainlist} \blue\star \\ \green\star If \: U \: Liked \: My \: Answer \purple \star[/tex]

Write the following expression in exponential form:
16x16x16x1.6
0416
0164
16x4
O 16+ 4

Answers

Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

f(x)=2^x by a factor of five

Answers

Wdym please specify what you want to solve.

HELP ME !
Please!
Which of the following tables represents a function?

Answers

B, the one u have selected. Since each value of x has a unique y value.

What is the difference between calculating the area and calculating the perimeter of a rectangle?

Answers

Answer:

For perimeter you add up the side lengths to get the perimeter but for area you multiply the length times width (L x W )to get area.

Step-by-step explanation:

A and B are two similar 2D shapes
A 12cm
B 15cm
The area of the shape A is 200cm^2.
Calculate the area of shape B

Answers

Answer: [tex]312.5\ cm^2[/tex]

Step-by-step explanation:

Given

A and B are two similar shape with  lengths of 12 cm and 15 cm

A has an area of [tex]200\ cm^2[/tex]

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

[tex]\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2[/tex]

the base of a right prism is an equilateral triangle each of whose sides measures 4cm.the altitude of the prism measures 5cm.Find the volume of the prism ​

Answers

Answer:

[tex]V=34.64\ cm^3[/tex]

Step-by-step explanation:

Given that,

The side of an equilateral prism = 4 cm

The altitude of the prism = 5 cm

We need to find the volume of the prism. The formula for the volume of a prism is as follows :

[tex]V=A\times h[/tex]

Where

A is the area of equilateral triangle, [tex]A=\dfrac{\sqrt3}{4}a^2[/tex]

So,

[tex]V=\dfrac{\sqrt3}{4}a^2\times h\\\\V=\dfrac{\sqrt3}{4}\times 4^2\times 5\\\\V=34.64\ cm^3[/tex]

So, the volume of the prism is equal to [tex]34.64\ cm^3[/tex].

Find the difference of the polynomials given below and classify it in terms of degree and number of terms.

Answers

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Given:

3n²(n²+ 4n - 5) - (2n² - n⁴ + 3)

Open parenthesis

= 3n⁴ + 12n³ - 15n² - 2n² + n⁴ - 3

Collect like terms

= 3n⁴ + n⁴ + 12n³ - 15n² - 2n² - 3

= 4n⁴ + 12n³ - 17n² - 3

Number 1 term is 4n²

Number 2 term is 12n³

Number 3 term is -17n³

Number 4 term is -3

The highest degree of the polynomial is 4th degree

Therefore,

The difference in 3n²(n²+ 4n - 5) - (2n² - n⁴ + 3) is

4th degree polynomial with 4 terms

Answer:

4th degree polynomial with 4 terms

Step-by-step explanation:

Find the equation of the line that
is perpendicular to y = -4x + 3
and contains the point (8, 1).

Answers

Answer:

x-4y=8

Step-by-step explanation:

y=mx+c comparing with given eq

we get slope(m1)=-4

since both are prependicular

m1×m2=-1

-4×m2=-1

m2=1÷4

eq:-y-y1=m2 (x-x1)

y-1=(1÷4)(x-8)

x-4y=4

y=1/4x-1

perpendicular means the y-intercept stays the same (so 3 stays), but the slope would be the opposite reciprocal of the original.

the opposite of -4 is 4. opposite of negative=positive.

the reciprocal of 4 is 1/4

so the new slope is 1/4

since we have a point, you plus everything on the point slope-form.

y-y1=m(x-x1)

(8,1)—> the 8 is x1 and the 1 is y1
the slope is m

so it’ll be

y-1=1/4(x-8)

solve. first distribute the 1/4

y -1=1/4x - 2

add 1 to both sides

y= 1/4x - 1

Which of these numbers had exactly tow factors?

Select your answer. 7 8 9 10
A B C D



Answers

Answer:

prime numbers only have two factors...

7 is the only prime in the list

Step-by-step explanation:

In ΔTUV, the measure of ∠V=90°, UT = 65, VU = 56, and TV = 33. What ratio represents the cosine of ∠T?

Answers

Answer: The ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

Step-by-step explanation:

We are given:

UV = 56 units

VT = 33 units

UT = 65 units

∠V = 90°

Cosine of an angle is equal to the ratio of base and the hypotenuse of the triangle. ΔTUV is drawn in the image below.

[tex]\cos \theta=\frac{\text{base}}{\text{hypotenuse}}[/tex]

Base of the triangle is UV and the hypotenuse of the triangle is TU

Putting values in above equation, we get:

[tex]\cos \theta=\frac{UV}{TU}=\frac{56}{65}[/tex]

Hence, the ratio that represents the cosine of ∠T is [tex]\frac{56}{65}[/tex]

PLEASE HURRY!! NEED IT ASAP!! WILL MAKE BRAINLIEST
Question 1 of 10
Which choice is equivalent to the expression below when y > or equal to 0?

Answers

Answer:

I think B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\sqrt{y^3} +\sqrt{9y^3} -3y\sqrt{y} \\=\sqrt{y^2 *y} +\sqrt{9*y^2*y} -3y\sqrt{y} \\=y\sqrt{y} +3y\sqrt{y} -3y\sqrt{y} \\=y\sqrt{y}[/tex]

help or i will fail my acellus

Answers

Answer:

I think it's 155 cm

Step-by-step explanation:

=(5×5×3)+(5×2×4)

= 75+40

= 155 cm2

Hey there I need some assistance need on this problem. What do I mean by checkpoints and how am I supposed to find the y-intercept and the slope from the given values?​

Answers

Slope Formula: y2 - y1 / x2 - x1

(m and slope represent the same quantity)

m = 1 - - 5 / -4 - 0

m = 1 + 5 / -4

m = 6 / -4

m = -3/2

Now that we know the slope, we can plug the slope and one of our points into slope-intercept form (y = mx + b) and solve for b. I will be using the point (-4,1).

y = -3/2x + b

1 = -3/2(-4) + b

1 = 6 + b

b = -5

In point form, the y-intercept is (0, -5).

Therefore, to get the equation all we need to do is plug in our slope and b-value to slope-intercept form.

Equation: y = -3/2 x - 5

To check the point (-6, -14) we plug it into our equation and see if the two sides are equal.

-14 = -3/2(-6) - 5

-14 = 9 - 5

-14 = 4

-14 does not equal 4, therefore the point is NOT on the line.

Hope this helps!

A. -1/4 + 2/3=

B. 1/2-3/5-1/2=

C. 3/4 of 2/9=

D. 2/5 of 7/12=

please help me
with explanation as well ​

Answers

Answer:

[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]

[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]

[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]

[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]

The given equation has been solved in the table. Step Statement 1 1 –7n + 11 = -10 2. -7n + 11 – 11 = -10 – 11 3 -7n = -21 4 = = =21 .In -7 -21 __7 5 n = 3 Use the table to complete each statement. In step 2, the In step 4, the property of equality was applied. property of equality was applied.​

Answers

Answer:

In step 2, the subtraction property of equality was applied

In step 4, the division property of equality was applied

Step-by-step explanation:



Circle the equation of a straight line that does not intersect the curve y = x2
(1 m
y = 5
X=-3
y = 2x - 5
y= -3x + 1

Answers

Answer:

[tex] \boxed{y = 2x\: – \: 5} [/tex]


A tortoise moves forward 15 meters in one hour. It turns around and crawls 10 meters in the
next hour. Finally, in the third hour, it turns around again and crawls 8 more meters. How
much did the tortoise walk in total in 3 hours?

Answers

Answer:

Below.

Step-by-step explanation:

15+10+8=33.

Answer:

13 meters

Step-by-step explanation:

It went 15 meters, but then it went back 10 meters.

[tex]15-10=5[/tex]

Then it went 8 more meters.

[tex]5+8=13[/tex]

Hope this helped! Please mark brainliest :)

the diagram shows a square with perimeter 20cm
work out the percentage of the area shaded inside the square that is shaded

Answers

Answer:

70%

Step-by-step explanation:

Finding each side :-

4a = 20ma = 5 m

Finding area of unshaded region :-

A = 1/2 * b * h A = 1/2 * 1.5 * 5 cm² A = 2.5 * 1.5 cm²A = 3.75 cm²

Total unshaded region = 2*3.75 = 7.5 cm²

Overall area :-

A = a²A = (5cm)²A = 25m²

Finding percentage :-

% = 25 - 7.5 / 25 * 100 % = 17.5 * 4 % = 70

Answer:70%

Step-by-step explanation:

I want to know the Answers

Answers

Step-by-step explanation:

this is the correct answer you wanted to know

please mark brainliest

Plz help. How to convert this standard notation to scientific notation 549,755,813,888.

Answers

Answer:

To change a number from scientific notation to standard form, move the decimal point to the left (if the exponent of ten is a negative number), or to the right (if the exponent is positive). You should move the point as many times as the exponent indicates. Do not write the power of ten anymore

أريد أن أجد طريقة لإيجاد ارتفاع المخروط عن طريق معرفة قطره ومساحته . بليز أرجو الرد . ​

Answers

Answer:

سأعطي فقط مثالاً مقدمًا أدناه آمل أن يساعد

Step-by-step explanation:

الارتفاع = 24 سم

نصف القطر = 14 ÷ 2 = 7 سم

ارتفاع مائل = L =؟

L2 = R2 + H2

م 2 = 72 +242

م 2 = 49 + 576

م 2 = 625

L = 25

الحجم = 1 ÷ 3 × 22 ÷ 7 × 7 × 24

الحجم = 1232 سم

مساحة السطح المنحني = 22 × 7 × 7 × 25

مساحة السطح المنحني = 550

إجمالي مساحة السطح = 22 × 7 × 7 × 25 + 7

مساحة السطح الكلية = 704 سم

يرجى وضع علامة لي على أنه أذكى

Plz help me.

I WILL GIVE BRAINLY

Answers

Answer:

p = T - a - b

Step-by-step explanation:

T = a + p + b

p = T - a - b

find the period of the graph shown below​

Answers

Answer:

Step-by-step explanation:

The period of a trig function tells you how much space is taken up by one "up-down-up" of the graph, which is a revolution. Because half of this graph takes place in a span of 2π, then the whole graph will span 4π.

Maths assignment
y^2-36

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

2
Solve the equation log, (3t+9) - log, 21 =1

Answers

Answer:

67

Step-by-step explanation:

log(3t+9)-log21 = 1

Applying, the law of logarithm,

log(3t+9)/21 = 1

converting the log into index

(3t+9)/21 = 10

solving for t

3t+9 = 21×10

3t+9 = 210

3t = 210-9

3t = 201

t = 201/3

t = 67

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