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sineoko [7]
3 years ago
14

×/2=y/3; y/4=z/4 và x+2y-z=10

Mathematics
2 answers:
qwelly [4]3 years ago
5 0

Answer:

Step-by-step explanation:

\dfrac{x}{2}=\dfrac{y}{3}\\\\

Cross multiply,

3x = 2y    ------------(I)

\dfrac{y}{4}=\dfrac{z}{4}\\\\4*\dfrac{y}{4}=\dfrac{z}{4}*4\\\\y=z

y = z --------------(II)

Plugin y =z in (I)

3x = 2z

3x/2 = z  ----------------(III)

x + 2y - z = 10

From (I) and (III)

x + 3x - \dfrac{3x}{2}=10\\\\4x - \dfrac{3x}{2}=10\\\\Multiply \ the \ entire \ equation \ by \ 2\\\\2*4x - 2*\dfrac{3x}{2}=10*2\\\\8x - 3x = 20\\\\5x = 20

Divide both sides by 5

x = 20/5

x = 4

Plugin x = 4 in (I)

3*4=2y

12 = 2y

2y = 12

y = 12/2

y  = 6

z = y

z = 6

Nataly [62]3 years ago
4 0

Answer:

try mo kayng magsolve wag puro brainly

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Tatiana [17]
For a parabola if
a) Squared term is x
Parabola either opens up or down.
Positive coefficient means upward opening and negative coefficient means downward opening

b) Squared term is y
Parabola either opens right or left
Positive coefficient means rightwards opening and negative coefficient means leftwards opening

In the given question, since the squared term is y and coefficient is negative, the parabola will open towards left.

So correct answer is option B

4 0
3 years ago
Fred bought 4 liters of liquid laundry detergent 3250 mL of fabric softener and 2.5 L of bleach which date that is true
Colt1911 [192]
The complete question in the attached figure

we know that

<span>Fred bought
</span><span>4 liters of liquid laundry detergent 
</span><span>3250 mL of fabric softener------------> 3250/1000-------> 3.25 liters
</span><span>2.5 L of bleach-----------> 2.5 liters

then
</span><span>statements

4a. Fred bought 75 milliliters more fabric softener than bleach
</span>3.25-2.5-------> 0.75 liters--------> 750 mi
the statement is false

<span>4b. Fred brought 1.75 liters more laundry detergent than bleach
4-2.5---------> 1.5 liters
</span>the statement is false

4c. Fred brought 750 milliliters more fabric softener than bleach. <span>
3.25-2.5-------> 0.75 liters-------> 750 ml
</span>the statement is true

4d. Fred brought 150 milliliters more laundry detergent than bleach.
4-2.5--------> 1.5 liters---------> 1500 ml
the statement is false

<span>4e. Fred bought 0.75 liters more laundry detergent than fabric softener.
</span>4-3.25--------> 0.75 liters
the statement is true

4 0
3 years ago
Can someone please help me with these two questions! :( ill mark u as brainlest
Maslowich

Answer:

1.A by SSS axiom

2.F as angle A is 62*

4 0
3 years ago
What is the equation of the parabola in vertex form with vertex (2,-4) and directrix y=-6​
Pachacha [2.7K]

Answer:

y=\dfrac{1}{8}(x-2)^2-4

Step-by-step explanation:

The directrix y=-6 is parallel to the x axes, so parabola has equation of the form

(x-x_0)^2=2px(y-y_0),

where (x_0,y_0) is the vertex of parabola and p is parabola's parameter.

By the definition, \frac{p}{2} is the distance from the vertex to the directrix, so

\dfrac{p}{2}=2\Rightarrow p=4

Hence, the equation of parabola is

(x-2)^2=8(y+4)

See attached diagram for the graph of parabola and its directrix.

In vertex form this equation is

y=\dfrac{1}{8}(x-2)^2-4

8 0
3 years ago
WHAT IS 11/6 simplified I CANT DO THIS MATH IT IS TOOOOO HARDDDDD JK IM JUST TO LAZY &gt;:( thanks
Lisa [10]

Answer:

its 11/6

Step-by-step explanation:

GCD of 11 and 6 is 1

Divide both the numerator and denominator by the GCD

11 ÷ 1

6 ÷ 1

Reduced fraction:  

11/6

5 0
3 years ago
Read 2 more answers
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