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AVprozaik [17]
3 years ago
11

14 The straight line, L, has the equation y = 5 - 2x

Mathematics
1 answer:
lozanna [386]3 years ago
7 0

Answer:

Step-by-step explanation:

(a) the co-ordinates of the point where the line crosses the y-axis,

y intercept occurs when x = 0

y = 5 - 2(0)

y = 5

(0, 5)

(b) the gradient of the line,

the general line formula is y = mx + b, where m is the slope and b is the y intercept.

y = 5 - 2x

y = -2x + 5

m = -2

(c) the equation of a line parallel to L.

Parallel lines have the same slope, but different y intercepts.

The simplest parallel line formula is

y = -2x + 0

y = -2x

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What are the x– and y–intercepts of the graph of y = 2x^2 – 8x – 10?
Nadya [2.5K]
<u>x-intercepts are found by setting y=0</u>
y=2x^2-8x-10\rightarrow0=2x^2-8x-10
<em>factor out a 2</em> 0=2(x^2-4x-5)\rightarrow0=x^2-4x-5
<em />0=(x-5)(x+1) <em>roots should be </em>x=-1,5
therefore, x-intercepts are (-1,0) and (5,0)
<u>
</u><u>y-intercepts are found by setting x=0</u>
y=2x^2-8x-10\rightarrow y=2(0)^2-8(0)-10
\rightarrow y=0-0-10=-10
therefore, y-intercept is (0,-10)
4 0
3 years ago
If joe travels 434 miles in 7 hours, how far will he travel in 10 hours at the same speed?
Nookie1986 [14]

He travels 620miles at the same speed.

Given that joe travels 434 miles in 7 hours.

An object's speed is determined by how quickly it moves. It is the distance a body travels in one unit of time.

Firstly, we will find the speed when the distance is 434 miles and the time is 7 hours by using the formula

Speed=Distance/Time

Substitute the values in the formula, we get

Speed=434miles/7 hours

Speed=62 miles/hour

Now, we will find the distance when time is 10 hours, we get

62=distance/10

Multiply both sides by 10, and we get

62×10=(distance/10)×10

620miles=distance.

Hence, in 10 hours at the same speed, he travels when joe travels 434 miles in 7 hours is 620miles.

Learn more about speed from here brainly.com/question/10113134

#SPJ4

7 0
1 year ago
You scored a 91 on a test with bonus points. you got 4 bonus points how many points did you score before the bonus points
Alex Ar [27]
You need to subtract the bonus points form the final score: 91-4=87
3 0
3 years ago
Read 2 more answers
F(x)=-(x+2)^2+3 put in standard form
Natasha_Volkova [10]

Answer:

F(x)=-x^2-4x-1

Step-by-step explanation:

According to PEMDAS, do the exponent part for the parentheses, sense it goes first.

F(x)= -(x^2+4x+4)+3

Then distribute the - sign

F(x)= -x^2-4x-4+3

Then you simplify

F(x)= -x^2-4x-1

8 0
3 years ago
Read 2 more answers
pls There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library? A.4^9 B. 4^45 C. 4^46 D. 1  
jekas [21]
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!
6 0
3 years ago
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