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klio [65]
3 years ago
14

Find the value of x (8x-1) (4x+7)

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

  • Right angle = 90°
  • α = (4x+7)°
  • β =  (8x-1)°

  • We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

4x+8x+90+7-1=180

Add similar elements: :4x+8x=12x

12x+90+7-1=180

12x+96=180

12x=84

Divide both sides by 12

\frac{12x}{12}=\frac{84}{12}

x = 7

Therefore, the value of x = 7

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The nth term of a sequence is 2n-1.
damaskus [11]

Answer: 25, 31 and 37

Step-by-step explanation:

(2n-1)= 19, 21, 23, 25, 27, 29, 31, 33, 35, 37

(3n+1)= 19, 22, 25, 28, 31, 34, 37,

5 0
3 years ago
Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.
Serga [27]

Answer:

(8,-3)

Step-by-step explanation:

The given parabola is

y =  - 3 {x}^{2}  + 48x  - 195

We factor -3 from the first two terms to get:

y =  - 3( {x}^{2}   - 16x)  - 195

Add and subtract the square of half the coefficient of x

y =  - 3( {x}^{2}   - 16x + 64)   + 3 \times 64- 195

y =  - 3 {(x - 8)}^{2}  + 192 - 195

We simplify to get:

y =  - 3 {(x - 8)}^{2}  - 3

We compare this to y=a(x-h)²+k,

The vertex is (h,k)=(8,-3)

3 0
3 years ago
What is a decimal in mathematics?
inn [45]

A decimal is 3.5, or 2.4739464. a number and a little bit. basically not a whole number. :)

5 0
3 years ago
12.3+9.75=?<br> 10,258÷46=?<br> Show your work
wariber [46]

Answer:

12.3 + 9.75 =22.05    10,258 ÷ 46 =

Step-by-step explanation:

for 10, 258 ÷ 46 i decide to type it

10258 46 = 223

223 = 2230 to the nearest tenth

223 = 223 to the nearest hundredth

223 = 223 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

10258 divide by half plus 20

Homework answers: (10258/2) + 20 = 5149

10258 divide by half plus 40

Homework answers: (10258/2) + 40 = 5169

10258/46 divided by 2

Answer: (10258/46) ÷ 2 = 111.5

8 0
3 years ago
2/x+3/y=9<br>4/x+9/y=21​
Brrunno [24]

Answer:

ok

Step-by-step explanation:

ok

3 0
3 years ago
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