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adell [148]
2 years ago
5

Determine the intercepts of the line. -4x + 7 = 2y - 3

Mathematics
1 answer:
Strike441 [17]2 years ago
5 0

x- intercept = 5/2

y - intercept = 5

Step-by-step explanation:

the intercepts of a line are found by plugging in x=0 and y = 0

For x-intercept, we put y = 0

and

For- y-intercept we put  =0

Given equation is:

-4x + 7 = 2y - 3\\Putting\ y = 0\\-4x + 7 = 2(0) - 3\\-4x+7 = -3\\-4x = -3-7\\-4x = -10

Dividing both sides by -4

\frac{-4x}{-4} = \frac{-10}{-4}\\ = \frac{5}{2}

Putting x = 0

-4x + 7 = 2y - 3\\-4(0)+7 = 2y -3\\7 = 2y-3\\7+3 = 2y\\2y = 10

Dividing both sides by 2

\frac{2y}{2} = \frac{10}{2}\\y = 5

So,

x- intercept = 5/2

y - intercept = 5

Keywords: Intercepts, lines

Learn more about intercepts at:

  • brainly.com/question/12954015
  • brainly.com/question/12932203

#LearnwithBrainly

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1/3(6x-15)=1/2(10x-4) solve for x
Tatiana [17]

Simplify 1/3(6x - 15) to 6x - 15/3

6x - 15/3 = 1/2(10x - 4)

Factor out the common term; 3

3(2x - 5)/3 = 1/2(10x - 4)

Cancel out 3

2x - 5 = 1/2(10x - 4)

Simplify 1/2(10x - 4) to 10x - 4/2

2x - 5 = 10x - 4/2

Factor out the common term; 2

2x - 5 = 2(5x - 2)/2

Cancel out 2

2x - 5 = 5x - 2

Subtract 2x from both sides

-5 = 5x - 2 - 2x

Simplify 5x - 2 - 2x to 3x - 2

-5 = 3x - 2

Add 2 to both sides

-5 + 2 = 3x

Simplify -5 + 2 to -3

-3 = 3x

Divide both sides by 3

- 1 = x

Switch sides

<u>x = -1</u>

8 0
2 years ago
A 4 1/2 hamburger patty has 25 1/2 grams of protein,and 6 ounces of fish had 32 grams of protein
Savatey [412]

Answer: 4.5 oz/25.5 g = 1 oz/X g  

Step-by-step explanation: Crossed multiplies to solve for X.

7 0
3 years ago
Someone please solve and explain part a(i)
Crank

Step-by-step explanation:

the way I understand the description :

C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.

then, at B there is an antenna or other firm of mast going straight up.

therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).

but because it goes downhill from B to C the angle is 105 degree.

(a)(i)

now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?

this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.

what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.

(a)(ii)

the extended Pythagoras for not right-angled triangles :

c² = a² + b² - 2ab×cos(B)

B being the angle opposite of the Hypotenuse c.

so, we have

c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =

= 325 - 300×cos(105) = 402.6457135...

c = 20.06603383... ≈ 20 m

4 0
2 years ago
Help please anyone ?!!!!!
SpyIntel [72]

Answer:

Step-by-step explanation:

bh= (2x-6)(x-2)

expand this

2x^2 -10x+12

since formula is 1/2 bh then halve the values

x^2-5x+6

7 0
3 years ago
Use the Discriminant to describe the roots of each equation. Then select the best description.
TiliK225 [7]
The discriminant is the part under the sqrt in the quadratic formula
for ax²+bx+c, the discriminant is b²-4ac


if the discriminant is
less than 0, then there are non-real roots
equal to 0, then there is a double root
greater than 0, then there are 2 real roots (may be rational or irrational)

so

1x²-5x+7

b²-4ac=(-5)²-4(1)(7)=25-28=-3
less than 0 so it is non real roots

answer is D
8 0
3 years ago
Read 2 more answers
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