the line l, passes through point A, {2,5} and has gradient - 1/2 find and equation of l, giving your in answer in the form y=mx+c

Answers

Answer 1

Answer: m=slope= gradient
c=y intercept

(x,y)
(2,5)
x=2
y=5 is one solution
and m=-1/2

input

5=-1/2(2)+c
5=-2/2+c
5=-1+c
add 1
6=c

equaton is y=-1/2x+6

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Expand and simplify these(X+6) (x+9)
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(X-1)(x-7)
(4x+9)(3x+8)
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Answers

$(x+6)(x+9)=x^2+9x+6x+54=x^2+15x+54 \n\n(x-5)(x+2)=x^2+2x-5x-10=x^2-3x-10\n\n(x-1)(x-7)=x^2-7x-x+7=x^2-6x+7\n\n(4x+9)(3x+8)=12x^2+32x+27x+72=12x^2+59x+72\n\n(3x-8)(2x-1)=6x^2-3x-16x+8=6x^2-19x+8\n\n(x+9) ^2=x^2+2\cdot x\cdot9+9^2=x^2+18x+81 \n\n(3x+2)^2=(3x)^2+2\cdot3x\cdot2+2^2=9x^2+12x+4$

Determine the whether the sum of 7/8 and 4/9 is closest to 0,1,2,or 3

Answers

Whenever you add fractions it means you need a common denominator. The quickest way to find this number is to multiply the two denominators together (in this case 8 and 9).
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Monica is buying a new dress for herjob interview at Amazon. The total

(without tax) is $65.49.

If she is shopping in Pearland, where

the sales tax rate is 8.25%, what will

be the AMOUNT OF SALES TAX for

her dress (remember to round to two

decimal places since it's money)?

What’s the answer

Answers

Answer: Sales tax would be $5.40

Step-by-step explanation: The sales value itself of the dress (that is, without tax) is $65.49.

The amount charged as sales tax in Pearland is given as 8.25% (or 0.0825).

Hence if she is shopping in Pearland, the AMOUNT OF SALES TAX she would pay can be calculated as,

Sales tax = Sales price x 0.0825

Sales tax = 65.49 x 0.0825

Sales tax = 5.402925

Approximately to two decimal places, the sales tax becomes $5.40

What's the value of x and y when 4x+y=210 and 3x+2y=195?

Answers

after substitution method, I got x=45 and y=30

You already hve the answer, but you do this by turning the equation into standard form. Since we are isolating y for each linear equation, we must first subtract the 4x and 3x on both sides. This should come out to y=-4x+219 and 2y=-3x+195. Since we have our first equation in standard form, all we have go do is divide 2 on both sides frome the second equation. Then you can solve by substitution (y=y)

Label each pair of triangles with the postulate or theorem that proves the triangles are congruent.

Answers

Answer:

We can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Step-by-step explanation:

Δ GHI and Δ JKL are congruents because:

1. Their sides GH and JK are equal (9 units = 9 units)

2. Their included angles ∠G and ∠J are equal (62° = 62°)

3. Their sides GI and JL are equal (17 units = 17 units)

Now, we can conclude that Δ GHI ≅ Δ JKL by SAS postulate.

Find the value of Y!!!!

A. 4°
B. 24°
C. 65°
D. 155°

Answers

Answer:

6x + 1 = 2x +17 ( alternate interior angles)

6x - 2x = 17 - 1

4x = 16

x = 16/4

x = 4.

now, 6(4) + 1 = 25

then, 25 + y = 180 (co-interior angles)

=> y = 155

Answer:

155

Step-by-step explanation:

its the only angle larger than 90 degrees and 90 degrees is a right angle

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