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3 years ago

Bonus: Find the value of x.

Mathematics

1 answer:

Mars2501 [29]3 years ago

6 0

Answer:

12 (i think)

Step-by-step explanation:

so you see the problem the first problem is 3x-9. and you see 27

then you multiply 12 by 3 and you get 36 then you minus 36 by 9 and you get 27

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Find p and q for which the linear eqn has infinite solutions

jekas [21]

Answer:

p= 2.5

q= 7

Step-by-step explanation:

The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.

Equations in slope- intercept form:

6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)

12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)

Slopes equal:

6/(2p-3)= 12/(2p-1)

6(2p-1)= 12(2p-3)

12p- 6= 24p - 36

12p= 30

p= 30/12

p= 2.5

y-intercepts equal:

(2q+3)/(2p-3)= (5q-1)/(2p-1)

(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)

(2q+3)/2= (5q-1)/4

4(2q+3)= 2(5q-1)

8q+12= 10q- 2

2q= 14

q= 7

7 0

3 years ago

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

2 years ago

Find all numbers whose absolute value is -9.

Neko [114]

Answer:

None

Step-by-step explanation:

A number's absolute value will always be positive

|9| = 9

|-9| = 9

3 0

3 years ago

Read 2 more answers

I don't know how to do these i need help ASAP plz

Eva8 [605]

Plug the x value into the x value for your questions.

8.) -57
9.) -2

5 0

3 years ago

What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3

il63 [147K]

Answer:

y + 7 = - $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

Where m is the slope and (a, b) a point on the line

Here m = - $\frac{2}{3}$ and (a, b) = (1, - 7), thus

y - (- 7) = - $\frac{2}{3}$ (x - 1), that is

y + 7 = - $\frac{2}{3}$ (x - 1) ← in point- slope form

3 0

3 years ago