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2 years ago

How can I use benchmarks to estimate 9/10+4/10

Mathematics

1 answer:

Jobisdone [24]2 years ago

4 0

I don’t kno how to estimate using benchmarks but I kno the exacts answer is 13/10 or 1.3

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I have nooooo clue, please help

Aleksandr-060686 [28]

Answer:

case a) $x^{2}=3y$ ----> open up

case b) $x^{2}=-10y$ ----> open down

case c) $y^{2}=-2x$ ----> open left

case d) $y^{2}=6x$ ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

$y=a(x-h)^{2}+k$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

$x=a(y-k)^{2}+h$

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

$x^{2}=3y$

$y=(1/3)x^{2}$

$a=(1/3)$

$a>0$

therefore

The parabola open up

case b) we have

$x^{2}=-10y$

$y=-(1/10)x^{2}$

$a=-(1/10)$

$a$

therefore

The parabola open down

case c) we have

$y^{2}=-2x$

$x=-(1/2)y^{2}$

$a=-(1/2)$

$a$

therefore

The parabola open to the left

case d) we have

$y^{2}=6x$

$x=(1/6)y^{2}$

$a=(1/6)$

$a>0$

therefore

The parabola open to the right

3 0

2 years ago

If Figure A is multiplied by a scale factor of .5, reflected over the x-axis, and translated 3 units left and 8 units down, whic

Marina CMI [18]

Answer:

A' has the same shape but not the same size as Figure A.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Use substitution to solve the system. x=3y-8 3x-4y=-9

nadya68 [22]

x=3y-8
3x-4y=-9

We are told that:
x=3y-8

So replace x in 3x-4y=-9 with x=3y-8 like so:
3(3y-8)-4y=-9

Start by distributing the 3:
$(3)(3y)+(3)(-8)+-4y=-9$
Now you have:
$9y+-24+-4y=-9
$
Combine like terms, now you have:
$5y-24=-9
$
add 24 to both sides
$5y-24+24=-9+24
$
Now you have:
$5y=15$
Divide both sides by 5 to get:
y=3

Now that you know y=3 plug it into:
x=3y-8
x=3(3)-8
x=1

Final answer:
(1,3)

5 0

2 years ago

Read 2 more answers

Whats the square root of 100

lianna [129]

10 is the sqrt of 100, 10*10=100.

5 0

3 years ago

Read 2 more answers

The equation C = 75h + 29 represents the total

algol13

9:00 he returned the boat hope this helped and dived it add it then add 3

7 0

2 years ago