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vazorg [7]
3 years ago
15

Find the solution to the system of equations. y = 2x - 1 y= 3x - 5

Mathematics
1 answer:
il63 [147K]3 years ago
3 0

Answer:

( 5/2,5/2)

Step-by-step explanation:

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Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj
mixer [17]
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
5 0
3 years ago
Write an equation of a line that passes through (-1,6) and has a slope of 4.
jeka94

Answer:

y-6=4(x+1) or y=4x+10

Step-by-step explanation:

Point: (-1,6)

m=4

Slope-point form is y-y1=m(x-x1)

y1=6

x1=-1

Now, plug it in!

y-6=4(x-(-1)) which is y-6=4(x+1)

Of course, if you want you could always simplify it down to y=4x+10 if you wanted to

Hope this helps!

7 0
3 years ago
The base of a cone shaped glass is 12 inches and it is 18 inches tall. You
Damm [24]

Answer:

Step-by-step expla

To find the volume of a cone, use the equation: V = 1/3Bh.

In this equation, V is the volume, B is the base, and h is the height.

We are given that the base is 12 inches, and the height is 18 inches. With those necessary values, we can substitute those values, and calculate it.

V = 1/3(12)(18)

V = 4(18)

V = 72.0

Therefore, the volume of this glass is 72.0 cubic inches.

7 0
3 years ago
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
Fantom [35]

Answer:

<h3>x = 3 units</h3><h3></h3>

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = h

           b = 8/2  = 4

           c = 5

<u>plugin values into the formula:</u>

h² + 4² = 5²

h² = 5² - 4²

x = √9

x = 3

7 0
3 years ago
Find the value of x in the triangle.<br> to<br> to
gizmo_the_mogwai [7]

Answer:

45 and 45

Step-by-step explanation:

4 0
3 years ago
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