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2 years ago

8. If a conditional is true and its hypothesis is true, then its_____ is true.

Mathematics

1 answer:

barxatty [35]2 years ago

5 0

Answer: Conclusion

If a conditional is true and its hypothesis is true, then its conclusion is true.

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Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5. Include your work

STALIN [3.7K]

Paralell to 2x+y=-5
means it has same slope
means it is in form
2x+y=c where we have to find c
convert to slope intercept
minus 2x both sides

xint of 2
xint is where th eline crosses the x axis or where y=0, x=2

2(2)+0=c
2(2)=c
4=c

the equation is 2x+y=4

4 0

3 years ago

Solve the equation 10=y-5

alekssr [168]

Answer:

The way to solve this is simple.

Step-by-step explanation:

10=y-5

also can be read as y-5=10 so it would also be sayin what minus 5 equals 10.

SO 10+5= 15. Y=15

4 0

3 years ago

Determine the center and radius of the following circle equation:

UkoKoshka [18]

Answer:

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Step-by-step explanation:

Explanation:-

Given circle equation is x² + y² +10 x + 20 y +109 =0

x² +10 x + y² + 20 y +109 =0

x² +2 (5) (x)+(5)² -(5)²+ y² +2(10) y + (10)²-(10)² +109 =0

By using formula

(a+b)² = a² + 2 a b + b²

(x + 5 )² + ( y + 10 )² - 25 - 100 + 109 = 0

(x + 5 )² + ( y + 10 )² - 16 = 0

(x + 5 )² + ( y + 10 )² = 16

(x + 5 )² + ( y + 10 )² = (4)²

The standard equation of the circle ( x - h )² + ( y -k)² = r²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

Conclusion:-

The equation of the circle (x + 5 )² + ( y + 10 )² = (4)²

Center of the circle ( h, k) = ( -5 , -10)

Radius of the circle ' r' = 4

3 0

3 years ago

What are the end points of the triangle called? How are they labeled?

horrorfan [7]

For this case we have that by definition:

A triangle is defined by three lines that are called sides, or by three points called vertices.

We know that:

The vertices of a triangle are labeled with capital letters.
The sides of a triangle are written with lowercase letters.
The angles of a triangle are written similarly to the vertices.

Answer:

The end points of the triangle are called vertices.

They are labeled in capital letters.

6 0

3 years ago

The refreshment stand for the school play needs to make $330.They sell drinks for $1.50 and snacks for $2.50.If they sell 45 dri

choli [55]

Answer:

105 snacks

Step-by-step explanation:

$330=45 drinks at $1.50 and x snacks at $2.50.

330=45(1.50)+2.50x

330=67.5+2.5x

2.5x=262.5

x=105 snacks

6 0

3 years ago