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Alborosie
3 years ago
11

Systems of equations with different slopes and different y-intercepts have one solution. Plzzz explain

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
Y=2x+4, the slope is 2, A(0,4)-y intercept
y=x+2, the slope is 1, B (0,2)- y intercept

the system is 2x-y=-4
                      -x+y= 2
                     -----------
                       x= -2
                        y=0   is the solution ( only one)
 
   


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ABCD is a parallelogram. AB = x + 16, AD = 4y – 4, CD = 2x + 8. If the perimeter of ▱ABCD is 80, find the value of y.
dusya [7]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
Which expression is equivalent to 6 (3x + 4)?<br> 9x + 10<br> 9.C +4<br> 18.2 + 4<br> 18.2 + 24
vitfil [10]
I think it’s 18.2+24
5 0
3 years ago
Please help me find the value of x in this picture
lys-0071 [83]

Given:

m∠D = 5x - 10

m(ar EC) = 60°

m(ar RB) = 13x + 7

To find:

The value of x.

Solution:

<em>If two secants intersect outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$\Rightarrow  \angle D = \frac{1}{2} (m \ ar(RB) - m \ ar(EC) )

$\Rightarrow   5x-10 = \frac{1}{2} (13x+7 - 60 )

$\Rightarrow   5x-10 = \frac{1}{2} (13x-53 )

Multiply by 2 on both sides.

$\Rightarrow 2\times (  5x-10) = 2 \times \frac{1}{2} (13x-53 )

$\Rightarrow 10x-20 =13x-53

Add 53 on both sides, we get

$\Rightarrow 10x+33 =13x

Subtract 10x on both sides, we get

$\Rightarrow 33 =3x

Divide by 3 on both sides, we get

$\Rightarrow 11=x

The value of x is 11.

7 0
3 years ago
Pleaase help!<br>Find h. 11 in. h = ✓ [?] in. 14 in Enter​
Aleksandr [31]

Answer:

h=8.48\ \text{inches}

Step-by-step explanation:

Given that,

Radius of cone, r = 7 inches

Slant height of the cone, l = 11 inches

We need to find the height of the cone. Let the height be h. Using trigonometry to find it as follows :

h^2+r^2=l^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{11^2-7^2}\\\\h=8.48\ \text{inches}

So, the height of the cone is equal to 8.48\ \text{inches}.

3 0
3 years ago
I need to know how to solve this problem, you don't necessarily have to answer it, i just don't know the name and the steps to s
Olegator [25]

Answer:

f(-3) = -16

Step-by-step explanation:

Given piecewise function is,

f(x) = 5x - 1       If x < -2

        x + 3       If x ≥ -2

We have to find the value of he function when x = -3

Since x = -3 is less than x = -2,

Piece of the function to be considered,

f(x) = 5x - 1

f(-3) = 5(-3) - 1

f(-3) = -16

8 0
3 years ago
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