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Kipish [7]
2 years ago
9

Y= -5x +10 y= -2x-2 solve by substituions

Mathematics
1 answer:
Veronika [31]2 years ago
4 0

Answer:

x = 4, y = -10

Step-by-step explanation:

if both expressions equal 'y' then you can solve by setting them equal to each other:

-5x + 10 = -2x - 2

-3x + 10 = -2

-3x = -12

x = 4

find 'y':

y = -5(4)+10

y = -20 + 10

y = -10

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andrew-mc [135]

It is the line of symmetry of a parabola and divides a parabola into two equal halves that are reflections of each other about the line of symmetry.


5 0
3 years ago
Can someone match them fast plz
Ghella [55]

Answer:

the number of words made = w

the number of tiles not used = t

the points earned from words made = 10w

the points taken away from tiles not used = 3t

(srry if this is wrong but I believe it's correct)

3 0
3 years ago
A cone has a slant length of 10 and a diameter of 8. Height is unknown.
patriot [66]

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 =r

r = 4  

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84= h²  

√84 =h

9.16= h

Back on the volume formula:

V= 1/3 π r² h

V =1/3 π 4² (9.16) =153.56

6 0
3 years ago
JN is ? between angle J and angle <br>K
crimeas [40]
Verify please dont understand
7 0
3 years ago
Length of the base of the given triangle is (x+3) units and the perpendicular height is (x-1)units. If the area of the triangle
Lana71 [14]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, in our case we know this is 10 :

(x+3)(x-1)/2 = 10

(x+3)(x-1) = 20

x² - x + 3x - 3 = 20

x² + 2x - 23 = 0

that is exactly the provided equation. so, yes, x satisfies it.

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 2

c = -23

x = (-2 ± sqrt(2² - 4×1×-23))/(2×1) =

= (-2 ± sqrt(4 + 92))/2 = (-2 ± sqrt(96))/2 =

= (-2 ± sqrt(16×6))/2 = (-2 ± 4×sqrt(6))/2 =

= -1 ± 2×sqrt(6)

x1 = -1 + 2×sqrt(6) = 3.898979486... ≈ 4

or using sqrt(6) ≈ 2.45

= -1 + 2×2.45 = -1 + 4.9 = 3.9 ≈ 4

x2 = -1 - 2×sqrt(6) = -5.898979486... ≈ -6

or using sqrt(6) ≈ 2.45

= -1 - 2×2.45 = -1 - 4.9 = -5.9 ≈ -6

x2 would give us negative lengths for the triangle, which does not make sense.

so, x = 4 is our solution.

and that makes the height x-1 = 4-1 = 3 units.

7 0
2 years ago
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