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
xeze [42]
3 years ago
9

Solve by substitution 4x + 7y = 1 y = -2x-7

Mathematics
1 answer:
Akimi4 [234]3 years ago
6 0

4x + 7y = 1

y = -2x-7


4x+7(-2x-7) = 1

4x-14x-49 = 1

-10x - 49 =1

-10x = 50

x = -5


y = -2(-5)-7

y = 10-7

y = 3


(-5,3)

You might be interested in
Write the coordinate of the point in the diagram.
Butoxors [25]

Answer:-5,5,5

Step-by-step explanation:

6 0
3 years ago
Convert the measurement as indicated <br><br> 53qt = __ gal __ qt
NemiM [27]

13 gal 1 qt

There are 4 qts in a gal. Because of this, you can find the number of gal in a qt by dividing the qt by 4:

53/4=13.25

5 0
4 years ago
Which function transforms the graph of y=x^2 so that it is first shifted down 4 units and is then reflected across the y-axis?
Xelga [282]
\bf ~~~~~~~~~~~~\textit{function transformations}&#10;\\\\\\&#10;% templates&#10;f(x)=  A(  Bx+  C)+  D&#10;\\\\&#10;~~~~y=  A(  Bx+  C)+  D&#10;\\\\&#10;f(x)=  A\sqrt{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A(\mathbb{R})^{  Bx+  C}+  D&#10;\\\\&#10;f(x)=  A sin\left( B x+  C  \right)+  D&#10;\\\\&#10;--------------------

\bf \bullet \textit{ stretches or shrinks horizontally by  }   A\cdot   B\\\\&#10;\bullet \textit{ flips it upside-down if }  A\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the x-axis}&#10;\\\\&#10;\bullet \textit{ flips it sideways if }  B\textit{ is negative}\\&#10;~~~~~~\textit{reflection over the y-axis}

\bf \bullet \textit{ horizontal shift by }\frac{  C}{  B}\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is negative, to the right}\\\\&#10;~~~~~~if\ \frac{  C}{  B}\textit{ is positive, to the left}\\\\&#10;\bullet \textit{ vertical shift by }  D\\&#10;~~~~~~if\   D\textit{ is negative, downwards}\\\\&#10;~~~~~~if\   D\textit{ is positive, upwards}\\\\&#10;\bullet \textit{ period of }\frac{2\pi }{  B}

with that template in mind, let's check,

down 4 units, D = -4

flipped over the y-axis, B = -1

\bf y=x^2\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0}\qquad \qquad \stackrel{shifted}{y=\stackrel{A}{1}(\stackrel{B}{-1}x\stackrel{C}{+0})^2\stackrel{D}{-4}}&#10;\\\\\\&#10;y=-x^2-4
5 0
3 years ago
Find the volume V of the described solid S. The base of S is an elliptical region with boundary curve 16x2 + 9y2 = 144. Cross-se
oee [108]

In the x-y plane, the base has equation(s)

16x^2+9y^2=144\implies y=\pm\dfrac43\sqrt{9-x^2}

which is to say, the distance (parallel to the y-axis) between the top and the bottom of the ellipse is

\dfrac43\sqrt{9-x^2}-\left(-\dfrac43\sqrt{9-x^2}\right)=\dfrac83\sqrt{9-x^2}

so that at any given x, the cross-section has a hypotenuse whose length is \dfrac83\sqrt{9-x^2}.

The cross-section is an isosceles right triangle, which means the legs occur with the hypotenuse in a ratio of 1 to \sqrt2, so that the legs have length \dfrac8{3\sqrt2}\sqrt{9-x^2}. Then the area of each cross-section is

\dfrac12\left(\dfrac8{3\sqrt2}\sqrt{9-x^2}\right)\left(\dfrac8{3\sqrt2}\sqrt{9-x^2}\right)=\dfrac{16}9(9-x^2)

Then the volume of this solid is

\displaystyle\frac{16}9\int_{-3}^39-x^2\,\mathrm dx=\boxed{64}

7 0
4 years ago
HELP ME PLS I DONT HAVE TIME
chubhunter [2.5K]

Answer:

A is true.......................b is false....................and c is false

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • If M is the Midpoint of AB, then solve for x find the unknown measures the given segments.
    11·1 answer
  • Jeff goes to the fair and spends a fourth of his money on the ticket and half of his money on food. If he spent a total of $24,
    10·1 answer
  • What is the measure of the angle formed by he hands of a clock at 3:20?
    15·1 answer
  • Mrs boyle buys 2g pounds of beef, mrs anand buys 1.5 pounds less than mrs Boyle, if Mrs Anand buys d pounds of beef, express d i
    9·1 answer
  • The sales tax on a $750 computer is $48.75. What is the sales tax
    5·1 answer
  • A set of six single-digit integers has a unique mode of 2. What is the largest possible
    13·2 answers
  • What is the shape of the cross section resulting from the intersection of a cube and a vertical plane? Square Parallelogram Rect
    10·1 answer
  • if there are 170 students in 12th grade, what percentage of the twelfth grade students have more than one college in mind
    13·1 answer
  • Look at the middle 9 of .999. What is the value of the 9 to it's right?
    10·1 answer
  • Need step by step explanation for this,<br> Thanks
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!