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creativ13 [48]
3 years ago
7

A. 12 + 4x = 6x + 10 – 2x

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) 12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10

which is impossible

B) 5x+14-4x=23+x-9 \iff x+14 = x+14

which is an equality

C) x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0

which has a unique solution

D) 4x-2x=20 \iff 2x=20 \iff x=10

which has a unique solution

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A line passes through the point (6, 7) and has a slope of 4.
8_murik_8 [283]

Answer:

y = 4x - 17

Step-by-step explanation:

we can use the equation y = mx + b

where m is the slope.

now we want to find the value of b.

so

7 = 24 + b

b= -17

so the answer is

y = 4x -17

6 0
2 years ago
(I may give brainliest) The roof of a lean-to-garden shed has a gradient of 0.35.find the height?
UkoKoshka [18]

Answer: 2.325 meters

Step-by-step explanation:

The roof of a lean-to-garden shed has a gradient of 0.35.find the height....they have given the base as 1.5m and a shorter height 1.8m its like a house

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It sounds like you have a right triangle with base = 1.5,

----

Use a proportion to get:

(height of that triangle)/1.5 = 35/100

height of that triangle = 1.5*0.35 = 0.5250

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greater height of the lean-to = 1.8 + 0.5250 = 2.325 meters

3 0
3 years ago
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0.02952 + 0.0024 = Round your answer to the nearest thousandth​
Dovator [93]
0.02992
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8 0
3 years ago
(1,5)&(3,12) what’s the slope?
Anastaziya [24]

Answer:

7/2

Step-by-step explanation:

7 0
4 years ago
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If a line passes through the points (-5,-4) and (3,-1), the equation of the line is?
Ratling [72]

answer: y = 1.5x - 5.5

explanation:

use y = mx +b to model your equation

(m = slope, b = y-intercept)

let's start by finding slope

to find slope, subtract the y values over the x values.

- 4 - (-1) / - 5 - (-3)

solve and simplify.

 -3 / -2

two negatives equals a positive, so convert into a decimal and remove the negative

you get 1.5.

now, plug the slope a y and x value into the equation to find b, the missing value.

-1 = 1.5(3) + b

-1 = 4.5 + b

-5.5= b

so, your equation is y = 1.5x - 5.5.

3 0
3 years ago
Read 2 more answers
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