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finlep [7]
3 years ago
10

Write an equation of the line that is:

Mathematics
1 answer:
Marysya12 [62]3 years ago
4 0
a)\\y=4x+1\\a=4\\new\ y=bx+c\\if\ parallel a=b\\y=4x+c\\substituting\point\ (2,3)\\3=4*2+c\\c=-5\\y=4x-5\\b)\\2y-6x=9\\2y=6x+9\\y=3x+4,5\\a=3\\new\ y=bx+c\\if\ parallel a=b\\y=3x+c\\substituting\ point\ (-2,1)\\1=4*(-2)+c\\c=9\\y=3x+9\\ c)\\y=4x+3\\a=4\\new\ y=bx+c\\if\ parallel a=b\\y=4x+c\\c=-3\\y=4x-3\\e)\\2y-4x=8\\2y=4x+8\\y=2x+4\\a= 2 \\new\y=bx+c\\if\ perpendicular b=-1/a\\y=- \frac{1}{2} x+c\\point(6,-6)\\-6=-1/2*6+c\\c=-3\\y=-1/2x-3\\f)\\2y-5x=15\\2y=5x+15\\y=\frac{5}{2}x+\frac{15}{2}
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Find the solution set.
kow [346]

Answer: 5, -5

Step-by-step explanation:

There are only 2 square roots of 25: plus and minus 5.

7 0
3 years ago
A credit card has a balance of $2,150.00 with an annual percentage rate of 22.9%. How much interest is charged in a one-month bi
Sever21 [200]

Answer: $3.42

Step-by-step explanation:

Interest= Principal x Rate x Time

From the question, Principal =$2,150

Rate= 22.9% annually means per year, to calculate the monthly rate, we divide by 12

=22.9%/12 = 1.908% per month

Time = one month, meaning one month out of 12months = 1/12

I is therefore: 2150 x 1.908% x 1/12

= 2150 × 0.01908 x 0.0833

=$3.42

I hope this is clear, please mark as brainliest answer.

8 0
3 years ago
determine if the sequence is geometric or arithmetic and find the ratio or difference. -1, 6, -36, 216
andrew-mc [135]
The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6

Nth=-1(-6^(n-1)

NTh=an

a
₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216

therefore this serie is rising at an increasing fast speed, it is an geometric progression.


4 0
3 years ago
On May 17th Jane took out a loan for $33,000 at 6% to open her law practice office the loan will mature the following year on Ja
frosja888 [35]

Answer:

$ 31050

Step-by-step explanation:

<em>Step 1 : Write the formula for calculating simple interest.</em>

Simple Interest = <u>P x R x T </u>

                                100

P: Principal Amount-The loan taken (30,000)

R: Interest rate at which the loan is give (6)

T: Time period of the loan in years-there are 12 months in 1 year. There are 7 months from May till June (7/12)

<em>Step 2: Substitute values in the formula</em>

Simple Interest = <u>30,000 x 6 x 7/12</u>

                                       100

Simple Interest = $1050

<em>Step 3: Calculate the amount due at maturity</em>

At the maturity or the end of the time period given, the original or principal amount of the loan has to be repaid along with the simple interest.

Amount at maturity = Principal Amount + Simple Interet

Amount at maturity = 30,000 + 1050

Amount at maturity = $31050

!!

4 0
3 years ago
PLEASE ASSIST!! EXTRA POINTS PLUS BRAINLIEST ANSWER I’LL TRADE YOU MY MOM SHE MAKES RLLY GOOD COOKIES! Find the slope of the giv
FinnZ [79.3K]

Keep your mom, you only have one. But anyway;

Use the Pythagorean Theorem: A^2 + B^2 = C^2

12^2 + 21^2 = C^2

144 + 441 = C^2

585 = C^2

square root of 585 = approximately 24.2

8 0
3 years ago
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