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kolbaska11 [484]
3 years ago
12

What is the midpoint of the x-intercepts of f(x)=(x-2)(x-4)

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0
The root of this parabola are x'=2 & x'' = 4, these are the value of x intercepts. The midpoint = (4-2)/2 = 1
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The two triangles below are similar. What is the similarity ratio of ΔABC to ΔDEF?
Evgesh-ka [11]
It would be a 2:1 ratio because sides AC and DF are 8:4 which simplifies to 2:1

Hope this helps!
5 0
3 years ago
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What is the angle relationship between ZBAC and ZDCA?<br> F<br> R<br> G
horsena [70]

The angle BAC and DCA are alternate interior angles , Option D is the right answer.

What are Parallel Lines ?

The lines in a plane which never intersect and are at a same distance always are called Parallel Lines.

In the given question it is given that there are two lines FG and DE

The lines are parallel to each other , and transversal are AC and BC .

The angle BAC and DCA are alternate interior angles as AC is the transversal of the parallel lines.

Option D is the right answer.

To know more about Parallel Lines

brainly.com/question/16701300

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4 0
1 year ago
What is the equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line b
Gala2k [10]

Answer:

y= - 5/2x - 2

Step-by-step explanation:

Y=2/5x + 2

Making it perpendicular, the slope will change to it's reciprocal and swap operations (+ becomes -). 2/5 will be -5/2. We already know the y-intercept which is -2, so simply put, the equation in slope-intercept form is y = -5/2x - 2

8 0
2 years ago
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Kari plans to attend a 2-year community college. She will receive $4,500 in scholarships and grants each year, and she will earn
Feliz [49]

Answer:

Step-by-step explanation:

4 year Public University

Tuition and fees $ 8500

Room and board $ 6700

Books and supplies $1250

misc expenses $ 700

Total for 1 year

8500+6700+1250+700

= $ 17150

Total for 4 years 4* 17150 = $68600

4 year Private University

Tuition and fees $ 25100

Room and board $ 8000

Books and supplies $ 1300

misc expenses $ 750

Total for 1 year

25100+8000+1300+750

= $ 35150

Total for 4 years 4* 35150 = $ 140600

2 Year Community College

2 Year Community College

Tuition and fees $ 4400

Room and board $ 5000

Books and supplies $ 1100

misc expenses $ 800

Total for 1 year

4400+5000+1100+800

= $ 11300

Total for 2 years 2* 11300 = $ 22600

now given

kari will get $4500 in scholarships and grants yearly and $1500 yearly through work study program

so in total kari will get in financial aid = $6000 yearly

so in 2 years she will get total = 2*6000 = $12000 financial aid

kari's estimated cost per year = total fee of college for 1 year - total financial aid for 1 year

                                           = $11300 - $ 6000 = $5300

Kari's estimated cost per year = $5300

then estimated cost for two years = 2* 5300 = $10600

given Kari's family will contribute $3000 yearly

so for two years Kari will get = 2*3000 = $6000 from family

If kari has 1 year to save for 1st year's contribution then

a) kari has $0 in savings

kari needs to save for year = estimated cos per year - contribution from family per year

                                      = $5300 - $ 3000 = $2300

as kari has $0 savings so kari needs to save $2300 in 1 year

so kari needs to save an amount = 2300/12 = $191.666667 monthly

b) kari has $1000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $1000

                                          = $1300

so kari needs to save an amount of = 1300/12 = $108.3333333 monthly

c) Kari has $2000 in saving

then kari needs to save an amount for 1 year = estimated cost per year - contribution from family per year - kari's initial savings

Amount to be saved for 1 year = $5300 - $3000 - $2000

                                          = $300

so kari needs to save an amount of = 300/12 = $25 monthly

7 0
3 years ago
Multiply (2 – 7i)(–1 + 4i). 26 + 15i –2 – 28i 26 + i –30 + 15i
DENIUS [597]

(2 - 7 i) (-1 + 4 i).26 - (32 + 697 i)

3 0
3 years ago
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