MATHEMATICS HIGH SCHOOL

What is the equation of the line 4x - 3y = -2 in slope-intercept form?

Answers

Answer 1

Answer:

Y=-4x+2/3

Step-by-step explanation:

-3y=-4x-2

Y=-4x+2/3

Answer 2

Answer:

The answer is y = 4/3x + 2/3

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How many solutions does the equation 4n + 6 = 4 + 2 + 4n have?Two
Many
None
One

Answers

Answer:

many solutions

Step-by-step explanation:

4n + 6 = 4 + 2 + 4n

We try to solve for n

we try to get the variable alone

4n + 6 = 4 + 2 + 4n

combine like terms

4n + 6 = 6 + 4n

subtract 4n from both sides

6=6

If we arrive at a true statement like 5=5 then the equation has infinitely many soltions

We arrived at a true statement 6=6 so infinitely many solutions

4n+6=4+2+4n, well first combine like terms, 4n+6=6+4n and those are exactly the same, there's no magical n that can make 4n+6 not equal 4n+6, so many

D= 11/5(p-15)

solve for p.

Answers

Answer: The required solution for p is $p=(11+75D)/(5D).$

Step-by-step explanation: We are given to solve the following equation for the unknown variable p :

$D=(11)/(5(p-15))~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation for p, we must find the value of p in terms of D.

From equation (i), we have

$D=(11)/(5(p-15))\n\n\n\Rightarrow D=(11)/(5p-75)\n\n\n\Rightarrow D(5p-75)=11\n\n\Rightarrow 5Dp-75D=11\n\n\Rightarrow 5Dp=11+75D\n\n\Rightarrow p=(11+75D)/(5D).$

Thus, the required solution for p is $p=(11+75D)/(5D).$

D=11/5p-33
11/5p=D+33
p=5/11D+15

Shanna attends school for 1 week longer than 3/4 of the year. How many weeks in a year dies Shanna attend school ?

Answers

Answer:

40 weeks

Step-by-step explanation:

We must find the relationship between weeks and years. Given that 52 weeks make a year, it means that 3/4 of the year would be equivalent to

= 3/4 * 52 weeks

= 39 weeks

Since we know that Shanna attends school for 1 week longer than 3/4 of the year, it means she added school for 1 week more than 39 weeks. The number of weeks she attended school is thus

= 39 +1

= 40 weeks

3/4 of a year consist of three months per quarter

so 3/4 of a year is 9 months

each month have 4 weeks

multiply 9x4 to get 36, which is the number of weks there is in 3/4 of a year
now add one week since Shanna attended one week longer

and now you get 37 weeks Shanna attended school

∆STV ~ ∆PQR. Find m∠P.129

9

86

6

Answers

Answer: $86^(\circ)$

Step-by-step explanation:

Given : $\triangle{STV}\sim\triangle{PQR}$

We know that the corresponding angles of two similar triangles are congruent.

i.e. $\angle{S}\cong\angle{P}$ (1)

$\angle{T}\cong\angle{Q}$

$\angle{V}\cong\angle{R}$

From the given picture , we have $\angle{S}=86^(\circ)$

Then from (1), $\angle{P}=86^(\circ)$

Hence, $\angle{P}=86^(\circ)$

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

Which Property of Equality should be used first to solve the equation p/7 - 5 = -3 for pAddition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

Answers

Well, let's solve it and see which properties we're using:

p/7 - 5 = -3

Add 5 to each side. (Addition property.)

p/7 = 2

Multiply each side by 7. (Multiplication property.)

p = 14

1. What is the smallest integer that is a multiple of 3, 4, and 8?A. 12
B. 16
c. 18
D. 24
E. 28

Answers

The smallest integer should be 24.

The answer for this is D) 24

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Fran drew a triangle with no congruent sides and 1 right angle.Which term accurately describes the triangle? Mark all that apply. A right B isosceles C scalene Which on is it D acute

The curve produced by the water coming from a hose is sketched onto a graph with zeros at 0 and 5. The point (4, 1) also lies on the curve. If h(x) represents the vertical distance from where the water first comes out of the hose and x represents the horizontal distance, which statements are true? Check all that apply.A.The scenario can be represented by the function h(x) = –0.25(x)(x – 5). B.The scenario can be represented by the function h(x) = (x)(x + 5). C.The vertex is on the line x = 2.5. D.The greatest height that the water reaches is 1.5 units. E.The scenario can be represented by the function h(x) = –1(x – 5).