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leonid [27]
3 years ago
10

Plss help I have been asking for help since no one has helped me plss this has been due for a long time plss help me :(

Mathematics
2 answers:
Arturiano [62]3 years ago
5 0

Step-by-step explanation:

hi I am Cynthia am in form one at lugulu girls high school here in Kenya. 1 in that question write x to be one of your consecutive numbers because you don't know the actual number okay?then go to x+1,x+2,x+3.since they were 4 consecutive numbers you already written them down so you need to equate like this x+x+1+x+2+x+3=52 so from there you can continue so any questions just let me know okay?

pav-90 [236]3 years ago
3 0

Answer:

1 (-10,-12,-14,-16)

2(14,15)

3(48.75,50.75,47.75,52.75)

5(-10,-8,-6)

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Find the area of triangle ABC with vertices A(2,1), B (12,2), C (12,8). Hence, or otherwise find the perpendicular distance from
Lapatulllka [165]
<h2>The area of a triangle is =54 square units</h2><h2>The perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units</h2>

Step-by-step explanation:

Given a triangle ABC with vertices A(2,1),B(12,2) and C(12,8)

x_1=2,y_1=1,x_2=12,y_2=2,x_3=12 and      y_3=8

The area of a triangle is= \frac{1}{2} [x_1(y_2-y_3) +x_2 (y_3- y_1)+x_3(y_1-y_2)]

=|\frac{1}{2} [2(2-8+12(8-1)+12(1-2)]|

=|-54| = 54 square units

The length of AC = \sqrt{(x_1-x_3)^{2} +(y_1-y_3)^2}

                          = \sqrt{(2-12)^{2} +(1-8)^2}

                         =\sqrt{149} units

Let the perpendicular distance from B to AC be = x

According To Problem

\frac{1}{2} \times  x \times \sqrt{149} = 54

⇔x =\frac{108}{\sqrt{149} } units

Therefore the perpendicular distance from B to AC is = \frac{108}{\sqrt{149} } units

5 0
3 years ago
The minimum weekly commission earned to be a STAR sales person is $9000. If Sandra receives a 12% commission on the sale of all
katovenus [111]

Answer:

numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}

Step-by-step explanation:

Hello, I can help you with this

Step 1

define

The minimum weekly commission earned to be a STAR sales person is $9000, let's name this value as M

if Sandra receives a 12% commisions of the sale of all cars, then that 12% must be equal or higher than 9000 in order to become a STAR sales person

Step 2

using a rule of three find the 100%

if

12% ⇔ $9000

then

100% ⇔x

the ratio is

\frac{12}{9000}=\frac{100}{x}\\

Now, solve for x

\frac{12}{9000}=\frac{100}{x}\\\\\frac{12*x}{9000}=\frac{100}\\\\{12x}=9000*100\\\\12x=900000\\x=\frac{900000}{12}\\ x=75000\\

so, Sandra must sell a minimun of $75000

Now, to give a response, we need to asume a only price for every car(p).

now, in matemathical terms.

the minimun number of cars she must to sell is

minum number of cars sandra has to sell to become a STAR sales person

is \frac{75000}{price\ of\ the\ car} \\

\frac{75000}{price\ of\ the\ car} \\

now, price of the car* number of the car = 75000

where

numbers\ of\ cars \geq \frac{75000}{price\ of\ the\ car}

Have a nice day

6 0
3 years ago
7. What is the equation of a circle with a
Anni [7]

Answer:

equation of circle is (x+5)^2+(y-3)^2=16

Step-by-step explanation:

equation of circle (x-x_1)^2+(y-y_1)^2=r^2where r=redius of circle,[tex](x_1,y_1) is centre of circle

centre of circle=(-5,3)

put the value of centre and redius in the equation

equation of circle {(x+5)^2+(y-3)^2}=4^2

7 0
3 years ago
What is an equation of the line that passes through the point (-2,-8) and has the slope of 3
NeTakaya

Answer:

y = 3x - 2

Step-by-step explanation:

y +8 = 3 (x + 2)

y + 8 = 3x + 6

y = 3x - 2

3 0
3 years ago
1 foot =12 inches therefore 3 feet = what
scoundrel [369]

Answer:

36 inches

Step-by-step explanation:

Just multipy 3 by 12.

5 0
3 years ago
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