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bonufazy [111]
3 years ago
8

The y-intercept of the line whose equation is 3x + 2y = 7

Mathematics
1 answer:
DochEvi [55]3 years ago
4 0
You'll have to get this equation back to the y=mx+b form to find your y intercept. Start by getting y alone.

3x + 2y = 7
-3x        -3x
2y = -3x + 7

Since why has a 2 in front of it, you now need to divide the entire equation by 2 to get y completely alone.

2y = -3x +7
/2
y= -3/2x + 7/2

Normally, you'd want to simplify the fractions but that is the smallest you can get it to be. Your y intercept is 7/2.
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Kobotan [32]

Answer:

1. 17.73 or 17 \frac{11}{15} or \frac{266}{15}

2. 5.32 or 5\frac{61}{188} or \frac{1001}{188}

Step-by-step explanation:

Each one is correct trust me ;)

7 0
3 years ago
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 + 3x - 5= 0
Charra [1.4K]

Answer:

\large\boxed{x\approx-4.19\ \vee\ x\approx1.19}

Step-by-step explanation:

x^2+3x-5=0\qquad\text{add 5 to both sides}\\\\x^2+3x=5\\\\x^2+2(x)(1.5)=5\qquad\text{add}\ 1.5^2=2.25\ \text{to both sides}\\\\x^2+2(x)(1.5)+1.5^2=5+2.25\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+1.5)^2=7.25\Rightarrow x+1.5=\pm\sqrt{7.25}\\\\x+1.5\approx\pm2.69\\\\x+1.5\approx-2.69\ \vee\ x+1.5\approx2.69\qquad\text{subtract 1.5 from both sides}\\\\x\approx-4.19\ \vee\ x\approx1.19

6 0
3 years ago
Will mark brainliest, please hurry!
Jlenok [28]

Answer:

The measure of angle ABC = The measure of angle A prime B prime C prime

Step-by-step explanation:

we know that

The transformation of the figure is a reflection, so after the transformation  the shape still has the same size, area, angles and line lengths.

the triangles ABC and A'B'C' are congruent

therefore

the corresponding sides and corresponding angles are equal

so

The relationship between the measures of the angles of the two triangles is

m

m

m


8 0
3 years ago
In the following equations, t represents time in hours and m represents mass in mf. Which of them (if any) would have a mass les
kodGreya [7K]

Answer:

a, b, d and f

Step-by-step explanation:

To find which equation will have a a mass less than 50 mg after 2 hours, we just need to use the value of x = 2 and then verify if the values of y are less than 50:

a. y = 100*(0.5)^2 = 25 -> apply

b. y = 500*(0.3)^2 = 45 -> apply

c. y = 80*(2)^2 = 320 -> doesn't apply

d. y = 10*(1.2)^2 = 14.4 -> apply

e. y = 30*(1.5)^2 = 67.5 -> doesn't apply

f. y = 80*(0.2)^2 = 3.2 -> apply

g. y = 100*(2)^2 = 400 -> doesn't apply

6 0
3 years ago
Which fraction is in reduced form?<br> PLSS HELP NO LINKS OR STUFF LIKE THAT
White raven [17]

Answer:

5/13

Step-by-step explanation:

All of the other ones can be simplified.

3 0
3 years ago
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