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grin007 [14]
3 years ago
12

Which statement is the contrapositive of the conditional statement:

Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Step-by-step explanation:

The given statement is,

If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

The statement contrapositive to the given statement is,

If point B is not the midpoint, then point B does not bisect the line segment AC into two congruent segments.

Note :-

If a statement is such that,

A ⇒ B

then A ⊆ B

and it's contrapositive statement is,

B^{c} ⇒ A^{c}

implying that,

B^{c} ⊆ A^{c}

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What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.
skad [1K]

Answer:

option A and B

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

Step-by-step explanation:

we have

2x^2+7x+4=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

2x^2+7x+4=0

so

a=2\\b=7\\c=4

substitute in the formula

x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}

x=\frac{-7\pm\sqrt{17}} {4}

so

x=\frac{-7+\sqrt{17}} {4}

and

x=\frac{-7-\sqrt{17}} {4}

7 0
3 years ago
8= 8 + 4x +5x<br><br> can anyone help me with this
dedylja [7]

Answer:

0= x

Step-by-step explanation:

8= 8 + 4x +5x

Combine like terms

8 = 8+9x

Subtract 8 from each side

8-8 =8+9x-8

0 = 9x

Divide by 9

0/9 = 9x/9

0= x

3 0
3 years ago
What is the first term of the geometric sequence whose fifth term is 1/24 and tenth term is 1/768
Neporo4naja [7]
An=a1r^(n-1)

given
a5=1/24
a10=1/768

we know that
a5=1/24=a1r^(5-1) and
a10=1/768=a1r^(10-1)

so
1/24=a1r^4
1/768=a1r^9

(a1r^9)/(a1r^4)=r^5=(1/768)/(1/24)=1/32

r^5=1/32
take 5th root of both sides
r=1/2

we have
a5=a1r^4=1/24
evaluate r^4 or (1/2)^4
1/16
a1(1/16)=1/24
times both sides by 16/1
a1=16/24
a1=2/3

the first term is 2/3



7 0
3 years ago
Zoey earns $20 an hour babysitting plus a $5 flat rate for gas. how many hours must Zoey work to earn at least $125​
AleksAgata [21]

Answer:

6 hours

Step-by-step explanation:

20(for babysitting)*6=120

120+5 (for gas)=125

$125=6 hours of babysitting

5 0
3 years ago
2 EASY QUESTIONS 6TH GRADE WILL GIVE BRAINLY
Debora [2.8K]

Answer:

15 and 6

Step-by-step explanation:

5 0
3 years ago
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