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const2013 [10]
3 years ago
15

Solve using Substitution y = 6x - 11 -2x - 3y = -7

Mathematics
1 answer:
vladimir2022 [97]3 years ago
4 0

Answer:

(2, 1)

Step-by-step explanation:

To solve by substitution, we solve one equation for one of its variables and then substitute the solved value for that variable into the other equation. Because this system of equations already has one solved for the variable, this makes our job much easier. We only need to implement the solved value for y into the other equation and solve for x.

y = 6x - 11

-2x - 3(6x - 11) = -7 Distribute.

-2x - 18x + 33 = -7 Combine like terms.

-20x + 33 = -7 Subtract 33 from both sides of the equation.

-20x = -40 Divide by -20 on both sides of the equation.

x = 2

Then, with this value, we will place it into the equation that was already solved for y in order to get a definite value for y.

y = 6(2) - 11

y = 12 - 11

y = 1

Using this information, the coordinate pair for this equation (the point of intersection between the two lines) is (2, 1).

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johny has a circular garden that has a radius of 4.5 meters. using the formula to find the circumference pi=3.4​
Gemiola [76]

Answer:

28.27

Step-by-step explanation:

2*3.14*4.5=28.27

3 0
3 years ago
Consider A (-9, 4) and B (11, 17), find the coordinates for point P that partition A to B in a 3: 5 ratio.
Talja [164]

Answer:

C. (-1.5, 8.875)

Step-by-step explanation:

on a coordinate plane if point(x1,y1) and (x2,y2) is divided by a point p in ratio of m:n then coordinate of point p is given by

p = (nx1 + mx2/ m+n, ny1+my2/m+n)

_______________________________________________

Given point

A (-9, 4) and B (11, 17)

ratio 3:5

m:n = 3:5

m+n = 3+5 = 8

coordinate of point p that partition AB

x = (5*-9 + 3*11) / 5+3                   y =    (5*4 + 3*17) / 5+3

x = (-45 + 33) / 8                          y =    (20 + 51) / 8

x = (-12) / 8                                     y =    (71) / 8

x = -3 / 2 = -1.5                                    y =    8.875

Thus, coordinate of point p is (-1.5, 8.875).

7 0
3 years ago
meteroloogist track severe stoms using Doppler radar. A polar grid is used to measure distances as the storms progress. If the c
FinnZ [79.3K]

Answer:

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

Step-by-step explanation:

It is given that a meteorologist is using a Doppler radar to find out the distance of the storm as it passes using a polar grid.

The origin of the radar screen is its center.

And the distance between each ring is 10 miles from the center.

So let :

r = radius

h and k = be the coordinates of the center.

So the equation of a circle is :

$(x-h)^2+(y-k)^2= r^2 $

Now the equation of the fourth circle when the radius changes by 10 miles is :

$(x-h)^2+(y-k)^2= (r+ 40 )^2$  

5 0
3 years ago
15 is the same as the product of 3 and a number. Which equation models this sentence?
adelina 88 [10]

Question

15 is the same as the product of 3 and a number. Which equation models this sentence?

15=3x

15=x-3

15=3+x

15=x divided by 3

Answer:

<h2>15=3x</h2>

Step-by-step explanation:

15 = 3x

x = 15 : 3

x = 5

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

check

15 = 3 * 5

15 = 15

the answer is good


3 0
3 years ago
Read 2 more answers
The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?
disa [49]
<span>Triangle is 180 degrees, so you will subtract 50 from 180 which will give you 130.</span>
8 0
3 years ago
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