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3 years ago

work out the equation of a line which passes through the point (-1,2) and is parallel to the line y=x+4

Mathematics

1 answer:

Brut [27]3 years ago

5 0

Answer:

y = x + 3.

Step-by-step explanation:

The line y = x + 4 has a slope of 1 because the coefficient of x is 1, so the line we need also has the same coefficient of x.

Use the point-slope form of a line:

y - y1 = m(x - x1)

Substituting m = 1 , x1 = -1 and y1 = 2:-

y - 2 = 1(x - (-1))

y - 2 = x + 1

y = x + 3 (answer).

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jeyben [28]

Answer:

4x-5= 5 less than the product of 4 and a number. 4 (x-5)= The product of 4 and the difference of a number and 5. 4(x+5) = The product of 4 and the sum of a number and 5.

Step-by-step explanation:

I took the test online in K12 and when I reviewed it said that those are the correct answer.

8 0

3 years ago

Suppose you buy 4 buckets of apples and 5 buckets of peaches for $55. If

Mila [183]

Answer:

$7,p-5

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5 0

3 years ago

Solve! Image attached! Geometry, dumb/incorrect answers will get account, and answer reported, please answer all the way through

neonofarm [45]

Answer:

+) m∠1 = m∠2 (vertical angles theorem)

+) m∠2 and ∠3 are supplementary (because a//b)

+)m∠3 = m∠4 (alternate interior angles theorem, c//d)

=> ∠1 and ∠4 are supplementary (substitution property of equality)

Step-by-step explanation:

5 0

3 years ago

Which equation is y = â€""6x2 3x 2 rewritten in vertex form?.

Ber [7]

The vertex form needed is :

$-6(x-0.25)^2 +2.375$

Given the equation:

$-6x^2 + 3x + 2\\$

The vertex form of $f(x) = ax^2 + b(x) + c$ is given by:

$f(x) = a(x-h)^2 + k$

Here, (h,k) is the vertex of the parabola equation given.

Conversion will go like this:

$-6x^2 + 3x + 2\\= -6(x^2 - 0.5x) + 2\\= -6(x^2 -0.5x + 0.0625 - 0.0625) + 2\\= -6(x^2 -0.5x + 0.0625) + 2 +0.375\\= -6(x-0.25)^2 + 2.375\\\\$

This is the resultant vertex form.

Thus the vertex form needed is :

$-6(x-0.25)^2 +2.375$

Learn more here:

brainly.com/question/15165354

6 0

2 years ago

Can someone help answer at least one? :) ty

Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = $\frac{OP}{RT}$

= $\frac{12}{3.6}$

= $\frac{10}{3}$

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

$\frac{OQ}{RS}=\frac{OP}{RT}$

$\frac{OQ}{4.5}=\frac{10}{3}$

OQ = $\frac{10\times 4.5}{3}$

OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

By applying angle sum theorem in ΔRST,

m∠R + m∠S + m∠T = 180°

26° + m∠S + 60° = 180°

m∠S = 180° - 86°

= 94°

Therefore, m∠Q = m∠S = 94°

3 0

3 years ago