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3 years ago

WILL MARK BRAINIEST IF RIGHT

Mathematics

2 answers:

4vir4ik [10]3 years ago

5 0

Answer:

The answer is A

kirill115 [55]3 years ago

4 0

Answer:

Step-by-step explanation:

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4^x+2=1/2 solve for x (log equation)

lesantik [10]

$\log_ab=c\iff a^c=b\\\\4^{x+2}=\dfrac{1}{2}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\(2^2)^{x+2}=2^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{2(x+2)}=2^{-1}\iff2(x+2)=-1\qquad\text{use distributive property}\\\\(2)(x)+(2)(2)=-1\\\\2x+4=-1\qquad\text{subtract 4 from both sides}\\\\2x=-3\qquad\text{divide both sides by 2}\\\\\boxed{x=-1.5}$

3 0

3 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

Brandy left the mall and drove 10 miles north. Then, she turned east and drove 8 miles to her house. How far is the mall from he

harina [27]

Answer:

12.81 miles

Step-by-step explanation:

You need to use the Pythagorean Theorem to draw a triangle.

10 squared + 8 squared = c squared.

100 + 64 = c squared

164 = c squared

find the square root of 164:

12.81.

3 0

3 years ago

Solve and graph this system of equations x+2y=5 and 3x=15-6y

Bogdan [553]

Answer:

(x,y)=(5-2y,y), y belongs to all real numbers

Step-by-step explanation:

x=5-2y

3x=15-6y

3(5-2y)=15-6y

15-6y=15-6y

y∈All Real Numbers

(x,y)=(5-2y,y), y∈All Real Numbers

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4 years ago

What are the vertices of AA'B'C'if AABC is dilated by a scale factor of 3?

AfilCa [17]

Answer:

Step-by-step explanation:

8 0

3 years ago