The sum of a number and 13 is the same as the difference of 29 and the number. Find the number.

Answer:

14) x = 6 and y = 8

15) x = -1 and y = 1

16) x = 7 and y = 10

Step-by-step explanation:

14) From the given parallelogram, we can say that;

PT = TR and QT = QS due to the fact that the diagonals bisect each other into two equal parts.

Thus;

If PT = 2x, TR = y + 4, QT = x + 2, TS = y; then we have;

PT = TR

2x = y + 4

y = 2x - 4 - - - eq 1

Also;

QT = QS

x + 2 = y - - - eq 2

Put x + 2 for y in eq 1 to get:

x + 2 = 2x - 4

2x - x = 4 + 2

x = 6

Put 6 for x in eq 2 to get;

6 + 2 = y

y = 8

15) similarly from above;

x + 2 = y - - - eq 1

2x = y + 3

y = 2x + 3 - - - eq 2

Put 2x + 3 for y in eq 1;

x + 2 = 2x + 3

2x - x = 2 - 3

x = -1

Put -1 for x in eq 1 to gwt;

-1 + 2 = y

y = 1

16) similarly again;

y = x + 3 - - - (eq 1)

2y = 3x - 1 - - - (eq 2)

Put x + 3 for y in eq 2;

2(x + 3) = 3x - 1

2x + 6 = 3x - 1

3x - 2x = 6 + 1

x = 7

Put 7 for x in eq 1;

y = 7 + 3

y = 10

Thus, x = 7 and y = 10

Answer: the equation would be 8h=240

h=30

Step-by-step explanation:

Provide a problem and I'll give you an answer...

Answer:

36.6 - 24 × 4 ÷ 3 =

= 36.6 -96 ÷3 =

= 36.6 - 32 =

= 4.6

Answer:

7

Step-by-step explanation:

Number of shells found = 14

Number of shells lost equals number of shells left :

Let Number of shells lost = x

Using the relation:

Number of shells lost = Number of shells left

x =number of shells found - number of shells lost

x = 14 - x

x + x = 14

2x = 14

x = 14 / 2

x = 7

Number of shells left = 14 - x = 14 - 7 = 7

Answer:

The correct answer would be C

Step-by-step explanation:

Answer:

Both 1 and 2!

Answer:

if i remember is B

Step-by-step explanation:

Answer:

whats the question???????????

Answer:

y = - 2x - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{2}[/tex] x - 8 ← is in slope- intercept form

with slope m = [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2, then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, - 4) into the partial equation

- 4 = 6 + c ⇒ c = - 4 - 6 = - 10

y = - 2x - 10 ← equation of perpendicular line

Step-by-step explanation:

Hey there!

The 1st equation is;

y= 1/2 x-8.............(i)

Comparing the equation y= mx+c. We get;

Slope (m1) = 1/2

The equation of point which moves through point (-3,-4).

(y-y1) = m2 (x-x1). {Use one-point formula to find out the equation}

(y+4) = m2 (x+3)..………(ii)

Now, we need to find m2.

So, the condition of perpendicular lines: m1*m2= -1.

[tex] \frac{1}{2} \times m2 = - 1[/tex]

[tex]m2 = - 2[/tex]

Therefore, m2 = -2.

So, let's keep value of m2 in eqaution (ii).

y+4 = -2(X+3)

y+4 = -2x-6

y = -2x -10.

Therefore, the eqaution is y= -2x-10.

Hope it helps......

Answer:

[tex]y=-x[/tex]

Step-by-step explanation:

The slope-intercept form of a line can be written as [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope, [tex]b[/tex] is the y-intercept, and [tex](x,y)[/tex] are the coordinates of any point that this line passes through.

Perpendicular lines have negative-reciprocal slopes. Therefore a line perpendicular to [tex]y=x+2[/tex] will have a slope of [tex]-\frac{1}{1}=-1[/tex].

Now that we have a slope and coordinates of a point that the line passes through, we can solve for the y-intercept and the equation of the line:

[tex]-2=-1(2)+b, \\b=0[/tex]

Thus, the equation of this line is [tex]\fbox{$y=-x$}[/tex].

Answer:

I hope someone can help you :)

Step-by-step explanation:

BTW I can't see the image its white for  me :( Sorry

Answer:

Step-by-step explanation:

( 3m + 2) (4m-3)

Answer:

a.) not like terms

b.) not like terms

c.) like terms ; 14 yards

Step-by-step explanation:

Answer:

multiply the legth times width

Step-by-step explanation:

Answer:

coordinates of the orthocenter = (8, 6)

Step-by-step explanation:

I have drawn a diagram showing this triangle with the vertices. I have also drawn altitude from B perpendicular to AC at point E.

I have also drawn altitude from from A perpendicular to BC at point D.

Now, we will find the slope of AC from the line slope equation; (y - y1) = m(x - x1)

m = (y - y1)/(x - x1)

Our coordinates are; A(5,3), B(8,6), C(0,14)

Thus;

Slope of AC; m = (14 - 3)/(0 - 5)

m = -11/5

Since BE is perpendicular to AC, slope of BE = -1/slope of AC = -1/(-11/5) = 5/11

Thus, equation of BE is;

(y - 6) = (5/11)(x - 8)

Multiply through by 11 to get;

11y - 66 = 5x - 40

11y - 5x = 66 - 40

11y - 5x = 26

Slope of BC is; m = (14 - 6)/(0 - 8) = 8/-6 = -1

AD is perpendicular to BC, thus slope of AD = -1/-1 = 1

Equation of AD is;

(y - 3) = 1(x - 5)

y - 3 = x - 5

y = x - 5 + 3

y = x - 2

Putting x - 2 for y in equation of BE, we have;

11(x - 2) - 5x = 26

11x - 22 - 5x = 26

6x - 22 = 26

6x = 26 + 22

6x = 48

x = 48/6

x = 8

Put 8 for x in equation AD, then y = 8 - 2 = 6

coordinates of the orthocenter = (8, 6)

Answer:

121.9

Step-by-step explanation:

1% of 106 =  1.06

1.06 x 15 = 15.9

106 + 15.9 = 121.9

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. ... Their work led to the development of geometric measure theory, which studies various notions of surface area for irregular objects of any dimension. An important example is the Minkowski content of a surface.

Answer:

7.25 and 7.20

Step-by-step explanation:

I calculated and got it correct

Answer:

a) $14.45 b) 1.45x+1.2y

Step-by-step explanation:

5*1.45+6*1.2=14.45

Answer:

0.38

Step-by-step explanation:

I hope this helps you with your test :)

Answer:

0.38

Step-by-step explanation:

.38 is before .47

Answer:

he downloaded 9 songs and 1 game

Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00

so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.

We need to write out algebraic equations to describe the information we have, then solve them using substitution.

We will define length as a and width as b.

we know that a x b = 1600 cm3  (area = length x width)

and a=4b

So, we can substitute the vaule 4b for a in the first equation:

4b x b = 1600  

we can simplify to 4b2 = 1600

divide both sides by 4:

b2 = 400

take the square root of each side:

b = √400

b=20

So we know the width = 20

length = 4  x width = 80

Answer:

Hi! The correct answer is 3(4a-5b+2)!

Step-by-step explanation:

~Factor 3 out of 12a-15b+6~

Answer:

3(4a- 5b + 2)

Step-by-step explanation:

Hope this helped!!! :)

Answer:

x>-3-y

Step-by-step explanation:

subtract y from both sides

Answer:

[tex]\displaystyle 36° = m∠NQS[/tex]

Step-by-step explanation:

Apply the Midsegment Theorem:

[tex]\displaystyle \frac{1}{2}[96 - 4x]° = [5x + 6]° → [48 - 2x]° = [5x + 6]° → -42 = -7x; 6 = x \\ \\ [48 - 2(6)]° = [48 - 12]° = 36° \\ \\ AND/OR \\ \\ [5(6) + 6]° = [30 + 6]° = 36°[/tex]

I am joyous to assist you at any time.

Answer:

b is the right answer bc all the others r wrong

Answer:

You put i at the end.

Step-by-step explanation:

The correct answer is u^5 remove the i.