1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rasek [7]
3 years ago
12

write an equation of the line with the same slope as the line given by 5x+2y=8 and as the same y-intercept as 3x-7y=10

Mathematics
2 answers:
Paladinen [302]3 years ago
5 0
The slope of the first equation would be -5/2 because
2y=-5x+8
y=-5x/2+4
The y intercept of the 2nd equation is when x=0, so -7y=10
y=-10/7
The equation of the line would be y=-5x/2-10/7
Or in standard form....
5x/2+y=-10/7
5x+27=-20/7
vampirchik [111]3 years ago
4 0
5x+2y=8\ \ \Rightarrow\ \ 2y=-5x+8\ \ \Rightarrow\ \l_1:\  y=- \frac{5}{2}x+8\\ \\ l_2:\ y=ax+b\ \ \ and\ \ \ l_2\ ||\ l_1\ \ \ \Leftrightarrow\ \ \ a=- \frac{5}{2} \\ \\l_2:\ y=- \frac{5}{2}x+b\\ \\3x-7y=10\ \ \ and\ \ \ x=0 \ \ \ \Rightarrow\ \ \ 3\cdot0-7y=10 \ \ \Rightarrow\ \ \ y=- \frac{10}{7}  \\ \\b=- \frac{10}{7}\ \ \ \Rightarrow\ \ \  l_2:\ y=- \frac{5}{2}x- \frac{10}{7}\\ \\ l_2:\  \frac{5}{2}x+y=- \frac{10}{7}\ \ /\cdot14\\ \\l_2:\ 35x+7y=-20
You might be interested in
(3) A boy has 10 pens in a pack. He gives 2 pens to his friend. What fraction of the pack is left? *
Olegator [25]

Answer: \frac{4}{5}

Step-by-step explanation:

10 pens - 2 pens = 8 pens

Write 8 of 10 as a fraction.

You get \frac{8}{10}, right?

Now, simplify 8/10.

You get 4/5.

8 0
3 years ago
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However,
kolezko [41]

Answer:

(a) 0.0128 to 4 decimal places

(b) The 90% confidence interval is 119.1 < μ < 121.0 to 1 decimal places

Step-by-step explanation:

See the attached documents and graphs. Cheers!

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4de97e6d942fe2c9047a396b82fccba0.png
0b940014a3beda8e854506c0084127b3.png
8 0
3 years ago
Will mark brainliest! The triangles shown below must be congruent, true or false
olchik [2.2K]
True because they have the same size angles
8 0
3 years ago
Read 2 more answers
im so sad i literally cried for 10 min straight because i have three 70's on my grade progress report and my mom only wants 80's
givi [52]

Answer:

You shouldn't blame your mom. You are more than capable of getting 80's that is the bare minimum. Your mom does not want you to fail, try harder and get better grades. 70's are not the best

7 0
3 years ago
Help I will make you a brainlist!!
enyata [817]
You answer would be Oy= 7x-1. I hope this helps!
4 0
3 years ago
Other questions:
  • The box plot below shows attendance at a local movie theater and high school basketball games: which of the following best descr
    12·1 answer
  • 15% of what number is 24? A. 36 B. 150 C. 160 D. 180
    15·2 answers
  • Divisible by 3?
    8·1 answer
  • Brayden adds 1/3 cup of flour into a mixture every 1/2 minutes. What is the rate, in cups per minutes, at which Brayden adds flo
    6·1 answer
  • Michelle has a bag with marbles in it. Some of the marbles are blue, some are green, and some are yellow. She draws one marble a
    14·1 answer
  • Which of the following systems of measurement is based on powers of 10?
    7·1 answer
  • What’s nine plus ten
    9·1 answer
  • What is 5x + 8x2 + 32x + 17x2​
    14·1 answer
  • A cyclist leaves his training base for a morning workout, riding at the rate of 12 mph. One hour later, her support staff leaves
    7·1 answer
  • Add 2/10 +36/100 = <br> Write each sum as fraction with a denominator of 100 and as a decimal
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!