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andreev551 [17]
3 years ago
9

5x + 2y = 6 3x + y = 4 Which of the following is part of the solution to the system of equations?

Mathematics
2 answers:
igomit [66]3 years ago
7 0
The answer to this problem is y=-2
BabaBlast [244]3 years ago
6 0
5x + 2y = 6
3x + y = 4....multiply by -2
-------------
5x + 2y = 6
-6x - 2y = -8 (result of multiplying by -2)
-------------add
-x = -2
x = 2

5x + 2y = 6
5(2) + 2y = 6
10 + 2y = 6
2y = 6 - 10
2y = -4
y = -4/2
y = -2 <=== here it is
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-12x+ 16 = 100<br> what is the value for x in this equation?
AveGali [126]

Answer: X= -7

Step-by-step explanation: A negative time a negative is a positive so -12x-7 is equal to 84. 84 plus 16 is equal too 100.

7 0
3 years ago
One leg of a triangle has a measure of 24 units if the hypotenuse measures 25 units what is the lengh of the other leg
marusya05 [52]
If we assume this is a right triangle

 for a right triangle
if it has legs length a and b and hyptonouse c then
a²+b²=c²

given
a leg is 24
hyptonuse =25
the other leg is b

24²+b²=25²
576+b²=625
minus 576 from both sides
b²=49
sqrt both sides
b=7

the other leg is 7 units
5 0
3 years ago
Find the surface area of the right prism. Round to the nearest whole number.
andriy [413]

Answer:

\large\boxed{S.A.=96\ cm^2}

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A=\dfrac{7+5}{2}\cdot4=24\ cm^2

Calculate the areas of the rectangles:

A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2

The Surface Area:

S.A.=(2)(24)+21+12+15=96\ cm^2

5 0
3 years ago
Extra points!! A candle is 17 in tall after burning for 3 hours. After 5
PIT_PIT [208]

Answer:

1) h=-t+20  

2) 12 inches tall.

Step-by-step explanation:

1) The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

In this case:

y=h (The height of the candle in inches)

x=t (The time in hours)

Then, we can rewrite it:

h=mt+b

Based on the information provided in the exercise, the line passes through these points:

(3,17) and (5,15)

Then, we can find the slope of the line with the formula m=\frac{y_2-y_1}{x_2-x_1}:

 m=\frac{15-17}{5-3}=-1

Now we need to substitute the slope and one of the points into  h=mt+b  and then solve for "b":

17=(-1)(3)+b\\\\b=17+3\\\\b=20

Substituting values, we get that the a linear equation that models the relationship between the heigth of the candle and the time, is:

h=-t+20  

2) We must substitute t=8 into the linear equation  h=-t+20 in order to find the height of the candle after burning 8 hours:

 h=-(8)+20\\\\h=12  

4 0
3 years ago
What’s the answer?!!!!!
12345 [234]
C = -5

8c-6=2c-36
8c-2c=-36+6
6c=-30
4 0
2 years ago
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