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3 years ago

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Which of these shows the result of using the first equation to substitute for y in the second equation, then combining like term

s?
y = 2z
2x + 3y = 16

A. 5x = 16
B. 4x = 16
C. 5y = 16
D. 8x = 16

1 answer:

katen-ka-za [31]3 years ago

5 0

Answer:

D. 8x=16

Step-by-step explanation:

If y=2x, then

2x+3y=16

2x+3(2x) =16

2x +6x=16

8x=16

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Solve the for variable<br><br><br>c+7=13<br><br><br>c = ?

nika2105 [10]

Answer:

c=6

Step-by-step explanation:

c+7=13

-7 -7

c=13-7

c=6

7 0

3 years ago

The pair of points is on the graph of an inverse variation. Find the missing value. (1.6,6) and (8,y)

____ [38]

<h3>Answer: y = 1.2</h3>

Work Shown:

Inverse variation equations can be written in the form x*y = k for some fixed number k. Let's plug in the first point (x,y) = (1.6, 6) to compute the value of k

x*y = k

1.6*6 = k

9.6 = k

k = 9.6

Therefore the equation updates to

x*y = 9.6

Plug in x = 8 and solve for y

x*y = 9.6

8*y = 9.6

y = 9.6/8 .... divide both sides by 8

y = 1.2

5 0

4 years ago

In a hydraulic lift, a 1400 N force is applied to a 0.5 m2 piston. Calculate the minimum surface area of the large piston to lif

dexar [7]

Answer:

1.8m^2 approx

Step-by-step explanation:

Given data

P1= 1400N

A1=0.5m^2

P2=5000 N

A2=??

Let us apply the formula to calculate the Area A2

P1/A1= P2/A2

substitute

1400/0.5= 5000/A2

cross multiply

1400*A2= 5000*0.5

1400*A2= 2500

A2= 2500/1400

A2= 1.78

Hence the Area is 1.8m^2 approx

5 0

3 years ago

Need help with this asap pls really need the answer

Marina CMI [18]

In the diagram, the area of the given shape is 102 cm²

<h3>Area of a Kite </h3>

From the question question, we are to determine the area of the given shape

The given shape is a kite

The area of a kite is given by the formula,

$A =\frac{pq}{2}$

Where A is the area

p and q are the diagonals

In the given diagram,

p = 6cm + 6 cm = 12 cm

q = 3 cm + 14 cm = 17 cm

Thus,

Area of the kite = $\frac{12 \times 17}{2}$

Area of the kite = 6 × 17

Area of the kite = 102 cm²

Hence, the area of the given shape is 102 cm²

Learn more on Area of a kite here: brainly.com/question/20597161

#SPJ1

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2 years ago

Simplify the expression (3a4)(−6a3) . Show your work and justify each step.

natali 33 [55]

I'm going to assume the 4 and 3 are exponents and the expression is $\left(3a^4\right)\left(-6a^3\right)$ .

The first step is to separate the coefficients of 3 and -6 from the variables and to multiply those as normal:

$3 \cdot (-6) = -18$

As for the variables, you want to recognize that $a^4$ means $a \cdot a \cdot a \cdot a$ and $a^3$ means $a \cdot a \cdot a$ , so

$a^4 \cdot a^3 = \left( a \cdot a \cdot a \cdot a\right) \cdot \left(a \cdot a \cdot a\right)$

In total, there are 7 a's being multiplied, so

$a^4 \cdot a^3 = a^{4+3} = a^7$

Putting this all together, we have:

$\left(3a^4\right)\left(-6a^3\right) = 18a^7$

7 0

3 years ago