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german
3 years ago
6

A triangle can be formed with side lengths 5, 7 and 10. True or False

Mathematics
1 answer:
agasfer [191]3 years ago
5 0
It will be true because they satisfy the rule of triangle sides:

If triangle has sides a, b and c, it should be true:

a + b > c
a + c > b
b + c > a
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What is the product of (X4/3)(X2/3) ?
katrin [286]
Hi, the answer to this would be x6/9. I'm assuming the x4/3 and x2/3 are fractions and the x's aren't exponents. Now how I got x6/9 is shown here.

1st Step: Started off by regrouping the terms
1/3x3 x^4x^2

2nd Step: we can easily simplify 3x3 to just 9. And now we're left with 1/9x^4x^2

3rd Step: Now we can simplify the 1/9 to just x^4x^2/9

4th Step: Now we can use the product rule which is simple. So We add the exponents and simplify it to just one exponent. So x4+2=6 that simplifies to just x^6.

Final Answer: x^6/9.
Hope this helped you :)
7 0
3 years ago
Verify the trigonometric identity. convert the left side of the relationship to look like the right side.
Tomtit [17]

Answer:

Verified

Step-by-step explanation:

Use \tan{x}=\frac{\sin{x}}{\cos{x}}  , \sin^2{x}+\cos^2{x}=1 and \sec{x}=\frac{1}{\cos{x}}

LHS=\tan^2{x}+1=\frac{\sin^2{x}}{\cos^2{x}} + 1=\frac{\sin^2{x}+\cos^2{x}}{\cos^2{x}}=\frac{1}{\cos^2{x}}=\sec^2{x}=RHS

5 0
2 years ago
Help me pls UoU Uwu<br> \djjn
Nataly [62]

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

\frac{18-14}{1-0}

Simplify:

18 - 14 = 4

1 - 0 = 1

\frac{4}{1}=4

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

3 0
2 years ago
Solve y = x - 5 if the domain is 5
Lunna [17]
If the domain is 5, you just put that five where you find an x. So,
y = 5 - 5
y = 0

Domain means those are the numbers that will be set as x's in the equation
6 0
2 years ago
Solve the system of equations<br> 3x+4y+12<br> 9x-2y=15
Mrrafil [7]
3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3

-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2

x=2
y=1.5
3 0
3 years ago
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