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Goshia [24]
3 years ago
5

A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin

e.
Mathematics
2 answers:
mestny [16]3 years ago
7 0
Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2
Luba_88 [7]3 years ago
7 0
Where x=-1:
Y= (-1)^2 - 4(-1)
Y= 1 - -4
Y= 5

Where x=-2:
Y= (-2)^2 - 4(-2)
Y= 4 - - 8
Y= 12

Now we calculate the gradient/slope:

m= y2-y1/x2-x1
m= (12 - 5)/(-2 - -1)
m= 7/-1

Finally, the y-intercept:

y= -7x + c
Using any of the known points from earlier (-1,5) or (-2,12)
5= -7(-1) + c
5 -7 = (7 - 7) + c
-2 = c

The equation is y = -7x - 2
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Someone pls help me with this questions
Veronika [31]

Answer:

1) A giraffe's heart will beat 910 times in 14 minutes

Table for 1)

Beats      65     325    910

Minutes    1        5        14

2) $8.80 for 4 bags of chips

Explanation for 2)

8.8 divided by 4 equals 2.2

4.5 divided by 2 equals 2.25

7 0
2 years ago
At Taco Bell, I made a large purchase of 13 items that cost a total of $28.17. If Chicken Burritos cost $1.89 each and a Cheesy
Sonja [21]

Answer:

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6

Step-by-step explanation:

Let x be the number of Chicken Burritos  and y be the number of Cheesy Gordita Crunch.

Total number items purchased=13

Total cost of 13 items=$28.17

Cost of each Chicken Burritos=$1.89

Cost of each Cheesy Gordita Crunch=$2.49

We have to find number of each items purchased.

According to question

x+y=13.....(1)

1.89x+2.49y=28.17...(2)

Equation (1) multiply by 2.49 and  then subtract equation (2) from (1)

0.6x=4.2

x=\frac{4.2}{0.6}

x=7

Substitute x=7 in equation (1)

7+y=13

y=13-7=6

Number of Chicken Burritos purchased=7

Number of Cheesy Gordita Crunch purchased=6

6 0
3 years ago
Find
Zarrin [17]

The measures of two complementary angles are 64 degrees and 26 degrees

<h3><u>Solution:</u></h3>

Let the larger angle be "a" and smaller angle be "b"

<em>Two angles are Complementary when they add up to 90 degrees</em>

so we get,

a + b = 90 ------ eqn 1

Given that measure of the larger angle is 12 more than twice the measure of the smaller angle

larger angle = 12 + 2(smaller angle)

a = 12 + 2b --- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to get values of "a" and "b"</u></em>

Substitute eqn 2 in eqn 1

12 + 2b + b = 90

12 + 3b = 90

3b = 90 - 12

3b = 78

<h3>b = 26</h3>

Therefore from eqn 2,

a = 12 + 2b

a = 12 + 2(26)

a = 12 + 52

<h3>a = 64</h3>

Thus the measures of two complementary angles are 64 degrees and 26 degrees

7 0
3 years ago
Add gift box in the shape of a triangular prism has a volume of 140 in.³, that a base height of 10 inches, and a height of 4 inc
fenix001 [56]
140=10*4*x
140=40*x
7/2 = x

3.5 inches
5 0
3 years ago
Find the hupotenuse if the legs are 3 and 4
natita [175]

Answer:

None of these

Step-by-step explanation:

hypotenuse \\  =  \sqrt{ {3}^{2} +  {4}^{2}  }  \\  =  \sqrt{9 + 16}  \\  =  \sqrt{25}  \\  = 5

3 0
3 years ago
Read 2 more answers
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