Can you help me with this?

Write this quadratic equation in standard form.

oksano4ka [1.4K]

Answer:

- $x^{2} + 3x -8 = 0$

Step-by-step explanation:

$x^{2} + x -8 - 2x = 0$
$x^{2} + 3x -8 = 0$

6 0

2 years ago

PLEASE HELP! WILL GIVE 70 POINTS!!

Tresset [83]

Answer:

$A=189\ mm^2$

Step-by-step explanation:

<u>Surface Areas </u>

Is the sum of all the lateral areas of a given solid. We need to compute the total surface area of the given prism. It has 5 sides, two of them are equal (top and bottom areas) and the rest are rectangles.

Computing the top and bottom areas. They form a right triangle whose legs are 4.5 mm and 6 mm. The area of both triangles is

$\displaystyle A_t=2*\frac{b.h}{2}=b.h=(4.5)(6)=27 mm^2$

The front area is a rectangle of dimensions 7.7 mm and 9 mm, thus

$A_f=b.h=(7.5)(9)=67.5 \ mm^2$

The back left area is another rectangle of 4.5 mm by 9 mm

$A_l=b.h=(4.5)(9)=40.5 \ mm^2$

Finally, the back right area is a rectangle of 6 mm by 9 mm

$A_r=b.h=(6)(9)=54 \ mm^2$

Thus, the total surface area of the prism is

$A=A_t+A_f+A_l+A_r=27+67.5+40.5+54=189\ mm^2$

$\boxed{A=189\ mm^2}$

4 0

3 years ago

Bella and Heather put some money in their money boxes every week. The amount of money (y) in dollars, in their money boxes after

evablogger [386]

The question is incomplete:

Bella and Heather put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below: Bella: y = 25x + 60 Heather: y = 30x + 10 After how many weeks will Bella and Heather have the same amount of money in their money boxes, and what is that amount?

10 weeks, $10

10 weeks, $310

9 weeks, $310

310 weeks, $10

Answer:

10 weeks, $310

Step-by-step explanation:

As the statement indicates, you have the following equations:

y=25x+60

y=30x+10

where:

y= the amount of money

x= the amount of time in weeks

You can equalize the expressions and isolate x to find the number of weeks after which Bella and Heather will have the same amount of money:

25x+60=30x+10

60-10=30x-25x

50=5x

x=50/5= 10

After this, you can replace the value of x in any of the equations to find the amount of money that they will have after 10 weeks:

-y=25(10)+60=310

-y=30(10)+10= 310

According to this, the answer is 10 weeks, $310.

6 0

3 years ago

lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29

QveST [7]

Answer:

Step-by-step explanation:

1.225km is equal to each laps

Step-by-step explanation:

Since Kristy total distance traveled = 29.6km

And Kristy ran 24 laps and later walk 0.2km. it simply implies that

Total distance traveled = distance covered running + distance covered walking

Since we know that

Total distance traveled = 29.6km

distance covered running = 24 laps

distance covered walking = 0.2km

Distance covered running in km = total distance traveled - distance covered walking

Distance covered running in km = 29.6km - 0.2km = 29.4km.

To now find the distance for each lap.

Since we have:

Distance covered running in km = 29.4km.

Distance covered running in lap = 24 laps

i.e

24 laps = 29.4km

1 lap = x

Use cross-multiple

24 laps * x = 29.4km × 1 lap

x = 29.4km / 24

x = 1.225km

Therefore

1.225km is equal to each laps.

8 0

3 years ago

Mike took a taxi from his home to the airport. The taxi driver charged an initial

Sati [7]

Answer:

B. 6

Step-by-step explanation:

SInce the total amount paid by Mike was $24, you subtract the initial amount he paid ($6) which leaves you with $18. Since the taxi driver charges $3 per mile you divide $18 by $3 to get 6 so that means Mike travel 6 miles.

8 0

3 years ago

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