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Ivahew [28]
3 years ago
6

Which shape has a larger area: a rectangle that is 7 inches by 34 inch, or a square with side length of 212 inches?

Mathematics
2 answers:
GREYUIT [131]3 years ago
7 0
Answer is square with the side of 212 inches. It's area is 212×212 which is bigger than rectangular area.
MA_775_DIABLO [31]3 years ago
5 0

Area of the rectangle = 7 * 34 = 238 in^2

Area of square = 212^2 = 44944 in^2

The square has the larger area.

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can anyone help me with these? I'm having a lot of trouble and I'm extremely behind... I need to catch up badly!!! i have been a
TiliK225 [7]

Answer:

Step-by-step explanation:

5 and 6 are the same, so I will do one of those and you can use the example to do the other one.  

Slope-intercept form is y = mx + b.  If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation.  The slope formula is:

m=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Using our points in question 5:  (2, 4) (5, 4)

m=\frac{4-4}{5-2} =\frac{0}{3}=0 So m = 0.  Now pick a point and use it in the equation along with the m value to solve for b.  I will use (2, 4):

4 = 0(2)+b and

4 = 0 + b so

b = 4.  

Now we have m = 0 and b = 4 so we fill in the equation with that info:

y = 0x + 4 or simplifying,

y = 4

For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5).  For a line to be parallel to another line, their slopes have to be identical.  The slope in y = 3x + 6 is 3.  So the slope of the "new" line is going to be 3 as well.  Now we will use that slope and the given point to solve for b, just like in #5:

2.5 = 3(-10) + b and

2.5 = -30 + b so

b = 32.5

Now we will fill in:

y = 3x + 32.5

For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11).  For a line to be perpendicular to another line, their slopes have to be opposite reciprocals.  Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down.  The slope in our line is -4.  That means that the perpendicular slope is positive 1/4.  Using that along with our point, we will again solve for b:

-11=\frac{1}{4}(-16)+b which simplifies to

-11 = -4 + b so

b = -7

Now we fill in:

y=\frac{1}{4}x-7

For question 8, in order to find the line parallel to the given line, you need to know the slope.  In the form it is currently in, we do not know the slope.  We need to put it into slope-intercept form to find the slope, then we will proceeed as above.  If

x + 4y = 6, then

4y = -x + 6 and, dividing by 4,

y=-\frac{1}{4}x+\frac{3}{2}

(The 3/2 is reduced from 6/4)

Now we can see the slope is -1/4.  We use that along with the point (-8, 5) to solve for b:

5=(-\frac{1}{4})(-8)+b which simplifies to

5 = 2 + b so

b = 3

Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:

y=-\frac{1}{4}x+3

6 0
3 years ago
Plot the line for the the equation on the graph y-2=-2(x+4)
Murrr4er [49]
Y=-2x-8+2
y=-2x-6
if x=0;Y=-6
IF y=0;x=-3
to plot the graph; plot point in -6 y-axis and -3 on the x-axis join them together then extend the line
hope u understood
7 0
3 years ago
How many x-intercepts does the graph of y=x^2 have
34kurt

Answer:

one point (on origin),

Step-by-step explanation:

graph of Y=X^2 is parabolic ,and x intecept means the point where ,Y COORDINATE (ORDINATE) becomes 0

so now after putting y=0 in eqution we got

x^2=0

i.e, x=0

that means at (0,0) ,so only one point!

✌️:)

4 0
3 years ago
The equation for picture D is 13 4/5 = w + 3 4/5. What is the solution? Write the number answer only. Please do not write the va
aksik [14]

Answer:

13 4/5 = 10 + 3 4/5

Step-by-step explanation:

4 0
3 years ago
What is the reason for Statement 5 of the two-column proof?
zmey [24]

Given: ∠JNL and ∠MNK are vertical angles and  m∠MNK=90°

Prove: ∠JNL is a right angle.

   Statements                                                     Reasons

1.  ∠JNL and ∠MNK are vertical angles.             Given

2. \angle JNL \cong \angle MNK        Vertical angle theorem

3. m \angle JNL = m \angle MNK        Angle congruence postulate

4.  m \angle MNK = 90^\circ                Given

5. m \angle JNL = 90^\circ                 <u> Substitution Property of Equality</u>

Since, the measures of angle JNL and MNK are equal and the measure of angle MNK is 90 degrees. therefore, by substitution property of equality, both the angles JNL and MNK will have an equal measure.

Therefore,  m \angle JNL = 90^\circ

6. ∠JNL is a right angle.                                     Definition of right angle

8 0
3 years ago
Read 2 more answers
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