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frozen [14]
3 years ago
8

In the right triangle the measure of C is 90

Mathematics
1 answer:
liq [111]3 years ago
6 0
The measure of a right angle is 90 degrees
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Largest prime factor of 35
max2010maxim [7]
Factors of 35: 1, 5, 7, 35
Of those, only 5 and 7 are prime.

7>5
Final answer: 7
4 0
3 years ago
Verify that the given point is on the curve and find the lines that are (a) tangent and (b) normal to the curve at the given poi
lara [203]

For each curve, plug in the given point (x,y) and check if the equality holds. For example:

(I) (2, 3) does lie on x^2+xy-y^2=1 since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.

For part (a), compute the derivative \frac{\mathrm dy}{\mathrm dx}, and evaluate it for the given point (x,y). This is the slope of the tangent line at the point. For example:

(I) The derivative is

x^2+xy-y^2=1\overset{\frac{\mathrm d}{\mathrm dx}}{\implies}2x+x\dfrac{\mathrm dy}{\mathrm dx}+y-2y\dfrac{\mathrm dy}{\mathrm dx}=0\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x+y}{2y-x}

so the slope of the tangent at (2, 3) is

\dfrac{\mathrm dy}{\mathrm dx}(2,3)=\dfrac74

and its equation is then

y-3=\dfrac74(x-2)\implies y=\dfrac74x-\dfrac12

For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents, -\frac1{\frac{\mathrm dy}{\mathrm dx}}. For example:

(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation

y-3=-\dfrac47(x-2)\implies y=-\dfrac47x+\dfrac{29}7

3 0
3 years ago
The surface area of a cube that is 8 yards of width and length?
Umnica [9.8K]

Answer:

<h2>384 yd²</h2>

Step-by-step explanation:

The formula of a surface area of a cube:

SA = 6a^2

We have <em>a = 8 yd</em>.

Substitute:

SA=6(8^2)=6(64)=384\ yd^2

8 0
3 years ago
Cuanto es un <br> feet en ce centimetros
r-ruslan [8.4K]
How much is 1 foot in 1 centimeters?
First we need to know:
1 foot = 12 inches
1 inch = 2.54 cm
Those are the things that we need to know beforehand.

Then, we can start converting.
= 1 ft * (12 in / 1 ft) * (2.54 cm / 1in)
= 30.48 cm

So 1 foot is just equal to 30.48 cm
4 0
3 years ago
Please help me asap..!<br><br> ty :)
Elena-2011 [213]

Answer:

y-inctercept=4, x-intecept=7

Step-by-step explanation:

I did it with the standard to slope again!

7y=28-4x

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

Now don't get confused here, 4 is the y incetecept, not -4.

When y=0, x=7

UPDATE:

To determine x and y intercept using graph, see where the line intersects at the x or y axis.

6 0
2 years ago
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