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
saveliy_v [14]
2 years ago
14

The points (-4, 1) and (r. -7) lie on a line with slope - 1. Find the missing coordinate r.

Mathematics
2 answers:
grigory [225]2 years ago
8 0

Answer:

r = 4

Step-by-step explanation:

You need to use the slope formula to solve for r.

1. Write out the equation using slope formula

(-7 - 1)/(r + 4) = -1

2. Multiply both sides by r + 4

-8 = -r - 4

3. Add 4 on both sides. Optionally, use the reflexive property of equality.

-r = -4

4. Multiply both sides by -1

r = 4

horrorfan [7]2 years ago
7 0

Answer:

  r = 4

Step-by-step explanation:

Using the point-slope form of the equation for a line, the line with slope -1 through point (-4, 1) is ...

  y -1 = -1(x +4)

Substituting the second point, we have an equation for r:

  -7 -1 = -1(r +4)

  8 = r +4 . . . . . . . divide by -1

  r = 4 . . . . . . . . subtract 4

The missing coordinate is 4. The second point is (4, -7).

You might be interested in
2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One
Stells [14]

y'=(t+y)^2-1

Substitute u=t+y, so that u'=y', and

u'=u^2-1

which is separable as

\dfrac{u'}{u^2-1}=1

Integrate both sides with respect to t. For the integral on the left, first split into partial fractions:

\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1

\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt

\dfrac12(\ln|u-1|-\ln|u+1|)=t+C

Solve for u:

\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C

\ln\left|1-\dfrac2{u+1}\right|=2t+C

1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}

\dfrac2{u+1}=1-Ce^{2t}

\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}

u=\dfrac2{1-Ce^{2t}}-1

Replace u and solve for y:

t+y=\dfrac2{1-Ce^{2t}}-1

y=\dfrac2{1-Ce^{2t}}-1-t

Now use the given initial condition to solve for C:

y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}

so that the particular solution is

y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}

3 0
3 years ago
Can someone PLEASE help me solve this equation ? due soon
RideAnS [48]

\sf{Given : 3tanx + 7 = \dfrac{2}{(1 - sinx)(1 + sinx)}}

We know that : (a - b)(a + b) = a² - b²

\implies \sf{3tanx + 7 = \dfrac{2}{1 - sin^2x}}

We know that : 1 - sin²x = cos²x

\implies \sf{3tanx + 7 = \dfrac{2}{cos^2x}}

\sf{\bigstar \ \ We \ know \ that : \boxed{\sf{\dfrac{1}{cos^2x} = sec^2x}}}

\implies \sf{3tanx + 7 = 2sec^2x}

We know that : sec²x = 1 + tan²x

\implies \sf{3tanx + 7 =2(1 + tan^2x)}

\implies \sf{2 + 2tan^2x - 3 tanx - 7 = 0}

\implies \sf{2tan^2x - 3 tanx - 5 = 0}

\implies \sf{2tan^2x -  5tanx + 2tanx - 5 = 0}

\implies \sf{2tanx(tanx + 1) - 5(tanx + 1) = 0}

\implies \sf{(tanx + 1)(2tanx - 5) = 0}

\implies \sf{tanx = -1 \ (or) \ tanx = \dfrac{5}{2} }

8 0
3 years ago
Write the number 345000 into other forms
Tomtit [17]
345,000

300,000+40,000+5,000

<span>Three hundred forty-five thousand

Hope I helped!!</span>
4 0
3 years ago
Read 2 more answers
How does the graph of g(x) = (x - 3)^3 + 4 compare to the parent function f(x)=x^3 ?​
masha68 [24]

Answer:

f(x) has moved:

4 units in the positive y direction i.e upwards

3 units in the positive x direction

Step-by-step explanation:

to get g(x), f(x) has undergone the following transformations

f(x) = x³

f1(x) = x³ + 4      (translation of 4 units in the positive y direction i.e upwards)

f2(x) = g(x)  = (x-3)³ + 4 (translation of 3 units in the positive x direction i.e towards the right)

7 0
3 years ago
Read 2 more answers
please pa answer po.Barby has a small plot in the garden she planted 2/5 of it to radidhes and 1/4 to carrots.What part of the p
Gennadij [26K]

hope it helps u :) ......

5 0
2 years ago
Read 2 more answers
Other questions:
  • If r&gt; 0 and r^t = 6.25r^t+2, then r =
    15·1 answer
  • George ran 745.362 miles last year. To the nearest hundredth, about how
    6·2 answers
  • You and your friend are both saving your allowance for your summer vacation you have $48.50 in the bank
    14·1 answer
  • Factor completely 2x2 - 18.<br><br> Prime<br> 2(x2 - 9)<br> 2(x + 3)(x - 3)<br> 2(x + 3)(x + 3)
    11·2 answers
  • What is the reciprocal of 9/11
    8·2 answers
  • How long is a high school football game on average? I wanted to know about how long a high school football game lasts from start
    5·1 answer
  • What is the measure of the missing angle?
    11·2 answers
  • I really need help please!!
    8·1 answer
  • A rope with a length of 3.5 meters is tied from a stake in the ground to
    12·1 answer
  • At the local video game store, a popular game went from $120 to $85 in a weeks time. What is the percent decrease of the item? R
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!