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IRINA_888 [86]
2 years ago
13

Can someone please help me pls

Mathematics
1 answer:
stepan [7]2 years ago
5 0

Answer:

The answer is 21 units²

Step-by-step explanation:

To find the area of a right triangle you use the formula A=ab/2

So

A=6×7/2 = 21

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P − 4.8 less than or = to 6.
docker41 [41]
-4.8 is less than 6

if its just regular 4.8 ( not negative, it'd still be less than )

[If the six is negative than it would be greater than.]

4 0
3 years ago
Read 2 more answers
2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
Fudgin [204]

Answer:

\sf t_{20}= 0

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

      \sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }

6th term is 14 ⇒ \sf t_6 = 14

                a + (6 - 1)d = 14

                    a  +  5d = 14  --------------(I)

14th term is 6 ⇒\sf t_{14} = 6

             a + (14-1)d = 6

                  a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

        (I)          a + 5d = 14

        (II)         a + 13d = 6

                    <u>-    -          -</u>

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \sf \boxed{\bf d= (-1)}

Plugin d = -1 in equation (I)

a + 5(-1) = 14

      a -5  = 14

             a = 14 + 5

             \sf \boxed{\bf a = 19}  

20th term:

 \sf t_{20}= 19 + 19*(-1)

       = 19 - 19

   \sf \boxed{\bf t_{20} = 0}

8 0
2 years ago
Read 2 more answers
Evaluate (98 x 102) by using suitable identities.
GREYUIT [131]

Answer:

The answer is 9996

Step-by-step explanation:

Using the identity (x+a)(x+b) = x  ^2  +(a+b)x+ab

Writing 102 as 100+2 and 98 as 100−2

Hence (100+2)(100−2) = 100  ^2  +[2+(−2)]100+(2)(−2)

= 10000+(0)100−4

= 9996

The answer is 9996

8 0
3 years ago
Read 2 more answers
3. What are the intersection points of the line whose equation is y=3x +3 and the
densk [106]

Answer:

Points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

Step-by-step explanation:

Equation of the circle → (x - 2)² + y² = 25 ---------(1)

                                   → (x - 2)² + (y - 0)² = 5²

By comparing this equation with the standard equation of the circle,

(x - a)² + (y - b)²= r²

Here (a, b) is the center and r is the radius of the circle.

Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

x² - 4x + 4 + 9x² + 18x + 9 = 25

10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

Therefore, points of intersection of these graphs are (-2, -3) and (0.6, 4.8).

6 0
3 years ago
One side of a square is 3x + 2. Which expression represents the perimeter?
MissTica

Your answer would be 12x + 8 because there are 4 sides to a square and they are all 3x + 2, so you would need to multiply 3x + 2 by 4 which you can do by expanding brackets which gives you 4(3x + 2) and thus when you multiply it out you get 12x + 8. I hope this helps!

4 0
3 years ago
Read 2 more answers
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