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
o-na [289]
3 years ago
8

write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5. include your work in

your final answer.
Mathematics
2 answers:
Readme [11.4K]3 years ago
6 0
Parallel to 2x+y=-5
2x+y-2x=-5-2x
y=-2x-5
y=mx+b
Slope: m=-2

As the line is parallel must have the same slope:
m=-2
And it has an x-intercept of 2: when x=2, y=0→Point: P1=(2,0)=(x1,y1)
x1=2, y1=0

y-y1=m(x-x1)
y-0=(-2)(x-2)
y=-2x+4
In standard form:
y+2x=-2x+2x+4
2x+y=4

Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
garik1379 [7]3 years ago
3 0


The general equation of the line is ⇒⇒⇒ y = mx + c
where: m is the slope of the line ,  c is constant
The given line is 2x + y = -5 ⇒⇒⇒ ∴ y = -5 - 2x
The slope of the given line = -2 
The required line is parallel to the given line . So, it have the same slope
∴ m = -2
∴ The general equation of the line will be ⇒⇒⇒ y = -2x + c
to find c we need a point on the line
<span>x-intercept of 2 which mean the line pass through (2,0)
</span><span>
</span><span>substitute with (2,0) to find C
</span><span>
</span><span>∴ 0 = -2*2 +c ⇒⇒⇒ c = 4
</span><span>
</span><span>
</span><span>
</span><span>The required line is ⇒⇒⇒⇒ y = -2x + 4
</span><span>
</span><span>OR                        2x + y = 4
</span>



You might be interested in
Verify the property a x (b+c) =(a x b)+(a x c) by taking: a = -7, b = (2/5), c = (-3/7)
Margaret [11]
(-7)*(2/5 + (-3/7))
= -14/5 + 3
=1/5
5 0
3 years ago
Jonah is going to the store to buy candles for his igloo. Small candles cost $3.50 and large candles cost $5.00. He needs to buy
Semmy [17]

Answer:

x+y\geq 20

3.50x+5.00y\leq 80

Step-by-step explanation:

Let x represent number of small candles and y represent number of large candles.

We have been given that Jonah needs to buy at least 20 candles. This means number of small and large candles should be greater than or equal to 20. We can represent this information in an inequality as:

x+y\geq 20...(1)

We are also told that small candles cost $3.50, so cost of x small candles would be 3.50x.

Since large candles cost $5.00, so cost of y large candles would be 5.00y.

We are told that Jonah cannot spend more than $80, this means cost of x small candles and y large candles should be less than or equal to $80. We can represent this information in an inequality as:

3.50x+5.00y\geq 80

Therefore, our required system of inequalities would be:

x+y\geq 20

3.50x+5.00y\leq 80

4 0
2 years ago
What is the volume of a pyramid with slant height 25 feet and square base with edges of 14 feet?
kolezko [41]
Check the picture below.

\bf \textit{volume of a pyramid}\\\\&#10;V=\cfrac{1}{3}Bh\qquad &#10;\begin{cases}&#10;B=area~of\\&#10;\qquad its~base\\&#10;h=height\\&#10;------\\&#10;B=\stackrel{14\times 14}{196}\\&#10;h=24&#10;\end{cases}\implies V=\cfrac{1}{3}(196)(24)

4 0
2 years ago
Read 2 more answers
What is the density of a paperclip with a volume of 2 ml and a mass of 3 grams?
nirvana33 [79]

Answer:

1.5 grams per millimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 3 by 2 and you are done.

4 0
2 years ago
An elementary school teacher bought a bag of candy and brought it to school as a reward for the entire class, planning to give i
True [87]

Answer:

divid than add

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • 13) 3 bags of Brand X dog food and 4 bags of Brand Y dog food costs $18,
    12·1 answer
  • Find an equation in x and y that has the same graph as the polar equation. <br> r sin(θ) = −2
    8·1 answer
  • write a slope intercept equation for a line passing through the point (2,-2) that is parallel and perpendicular to the line x=-1
    15·1 answer
  • The value of t can be determined by using the expression 2.75s. Which table represents the relationship between the values of t
    11·1 answer
  • Use 3.14 for pi and round to the nearest hundredth if necessary
    9·1 answer
  • Find the measure of FG.
    5·1 answer
  • Three metallic solid cubes of sides 6 cm, 8 cm and 10 cm are melted to form a single cube. The length of the edge of the new cub
    6·2 answers
  • PLSS HELP
    10·1 answer
  • Juan runs a company that makes pens. He notices that 1 out of every 9 pens are faulty. He uses a standard deck of cards to model
    11·2 answers
  • Type the correct answer in the box. Spell all words correctly.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!