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UNO [17]
3 years ago
10

Calculate the x and y-intercept for the line: y=-2x+8

Mathematics
1 answer:
Kryger [21]3 years ago
3 0
<span>x-intercept, y = 0:
 -2x + 8 =0
 -2x = -8
    x= -8/-2 = 4<span> 

y-intercept, x =0
y = 8</span></span>
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Harlamova29_29 [7]
Equation:
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To find other X:
3x = 45
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Final answer:

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3 0
3 years ago
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6 0
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The answer: m∡BCD = 130° .
_____________________________________
Explanation:
______________________________
m∡BCD = 9x - 5 = our answer.
_____________________________
Note: (9x - 5) + (m∡C IN Δ  ACB)= 180 ;
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Reason: all angles on straight line add up to 180.
___________________________
Note: In Δ ACB; m∡A + m∡B + m∡c = 180.
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Reason: All three angles in any triangle add up to 180.
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Given  Δ ACB, we are given:
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m∡C= ?
m∡B = (4x + 5)
m∡A = 65
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So, given  Δ ACB; m∡A + m∡B + m∡c = 180;
 →Plug in our known values and rewrite:
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Given  Δ ACB; 65 + 4x + 5 + (m∡c) = 180;
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Given  Δ ACB; 4x + 70 + (m∡c) = 180;
  →Subtract "70" from each side of the equation; and rewrite:
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Given  Δ ACB; 4x + (m∡C) = 110;
   →Subtract "4x" from EACH SIDE of the equation; to isolate: "(m∡c)" on one side of the equation; and "solve in terms of "(m∡C)" ;
______________________________________________
Given Δ ACB' m∡C = 110 - 4x ;
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So, we know that: (110 - 4x) + (9x - 5) = 180; (since all angles on a straight line add up to 180.
____________________
We can solve for "x".
____________________
(110 - 4x) + (9x - 5) = 180;
________________________
Rewrite as: 
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(110 - 4x) + 1(9x - 5) = 180 ;  (Note: there is an implied coefficient of "1"; since anything multiplied by "1" equals that same value).
_______________________
Note the "distributive property of multiplication": 
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 a*(b+c) = ab + ac ; AND:
 a*(b - c) = ab - ac .
_______________________
So, +1(9x - 5) = (+1*9x) - (+1*5) = 9x - 5 ;
__________________________
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(110 - 4x) + (9x - 5) = 180 ; as:
________________________
110 - 4x + 9x - 5 = 180 ;  We can simplify this by combining "like terms" on                                         the "left-hand side" of the equation:
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110 - 5 = 105 ;
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So, rewrite as: 5x + 105 = 180;  Subtract "105" from EACH side; to get:
_____________________________________
 5x  = 75 ; Now, divide each side of the equation by "5"; 
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_____________________________________________
Now, we want to know: m∡BCD; which equals:
_____________________________________________
 9x - 5 ;  let us substitute "15" for "x"; and solve:
______________________
9x - 5 = 9*(15) - 5 = 135 - 5 = 130.
_____________________________
The answer: m∡BCD = 130°
________________________
6 0
3 years ago
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Svetlanka [38]

Answer:

(f\cdot g)(x)=2x^2+10x+12

(f-g)(x)=-x-1

(f+g)(1)=10

Step-by-step explanation:

\tt f(x)=x+3

\tt g(x)=2x+4

(f\cdot g)(x)=f(x)\cdot g(x)=(x+3)(2x+4)=2x^2+4x+6x+12

=2x^2+10x+12

(f-g)(x)=f(x)-g(x)=x+3-(2x+4)=x+3-2x-4

=-x-1

(f+g)(1)=f(1)+g(1)=1+3+2(1)+4

=4+2+4=10

~

7 0
2 years ago
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Anton [14]
All you have to do to find the answer is divide 200 by 4 to get 50. so now you know 1/4 of 200 is 50. but jose threw the ball 3/4 as far kaitlyn so you would have to multiply 50 by 3 to get 150 which is 3/4 of 200 . so 150 ft is the answer and how far jose threw the ball.
4 0
3 years ago
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