What is the equation of the line that passes through the point (5,2) and has a
slope of -6

Answer:

y = -x - 1

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

On the graph, the point on the y-axis is the y-intercept. That point is (0, -1). So the y-intercept is -1.

To find the slope, find two points and put it in the slope equation.

Point A: (0, -1)

Point B: (-1, 0)

m = [tex]\frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]

Point A: [tex](x_{1}, y_{1})[/tex]

Point B: [tex](x_{2}, y_{2})[/tex]

m = [tex]\frac{0 - (-1)}{-1 - 0}[/tex]

m = [tex]\frac{1}{-1}[/tex]

m = -1

y = -1x - 1

In other words, y = -x - 1

Hope this helped! <3

Answer:  y = -1x - 1

This means -1 goes in the first box, and -1 goes in the second box.

y = -1x - 1 is the same as y = -x - 1

========================================================

Explanation:

The two points (0,-1) and (1,-2) are on the red diagonal line.

Let's use the slope formula to compute the slope

m = (y2-y1)/(x2-x1)

m = (-2-(-1))/(1-0)

m = (-2+1)/(1-0)

m = -1/1

m = -1

The slope is -1.

The y intercept is -1 because the red line crosses the y axis at -1.

Since the y intercept is -1, this means b = -1.

With m = -1 and b = -1, we go from y = mx+b to y = -1x + (-1). This is the same as y = -1x - 1

Furthermore, that equation simplifies to y = -x - 1.

Side note: the slope and y intercept aren't always the same value.

Answer:

45900

Step-by-step explanation:

that is rounding the hundreds place

Answer:

45,800

Rounded to the nearest 100 or

the Hundreds Place.

Step-by-step explanation:

Hope this helps. Sorry if its wrong

Answer:

x = 0.9

Step-by-step explanation:

according to proportion;

= 4x : 3 = 6 : 5

= 4x / 3 = 6 / 5

= 4x = (6 / 5) × 3

= 4x = 1.2 × 3

= x = 3.6 / 4

= x = 0.9 or 9/10

Answer:

x = 50

51

Step-by-step explanation:

Question 7

This is an isosceles triangle, you can identify this, by its little tick marks on two sides of the triangle. So that means there are two 35 angles. by the rule of triangles, all angles added all together must be 180°

35 + 35 + 2x + 10 = 180

Combine like terms

70 + 10 + 2x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

2x/2 = 100/2

x = 50

Question 8

First, we need to find x to find angle Y. This is a right triangle as we can see from the square at the corner of the triangle. So, that means, that Angle Z is 90°. We know that all angles of a triangle will add up to 180 no matter what.

3x + 2x + 5 + 90 = 180

Comebine like terms

3x + 2x = 5x

90 + 5 = 95

5x + 95 = 180

5x = 180 - 95

5x = 85

5x/5 = 85/5

x = 17

Angle Y = 3x

3x

3(17)

51°

It says "Enter the value only without the degree symbol" so, 51

Hope this helps ^w^

Answer:

B. Principal

Step-by-step explanation:

A principal is defined in economics as a sum of money lent or invested, on which interest is paid.

Hope this helps!

Answer: 10 4/9 as an improper fraction is 94/9

to get this answer, multiply the whole number and the denominator together.

then add the numerator to the denominator then you just put the answer from the second step over the original denominator

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{10\dfrac{4}{9}}\\\\\mathsf{= \dfrac{10\times9 + 4}{9}}\\\\\mathsf{= \dfrac{90 + 4}{9}}\\\\\mathsf{= \dfrac{94}{9}}}\\\\\\\\\\\huge\text{Therefore, your answer should be:}\\\huge\boxed{\mathsf{\dfrac{94}{9}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

a. 1:5

b 1:4

Step-by-step explanation:

The ratios are as follows

a. For money withdrawn to total money deposited

₹410 : ₹ 2050

₹41:₹205

1:5

b. For money withdrawn to the remaining amount

₹410: (₹2050 - ₹410)

₹410:₹1640

₹41:₹164

1:4

Answer:

A. 10,000

B. 10,000,000,000

C. 10

Answer:

19

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Given the equation;

n/10 + 7 = 10

We are to find the value of n

Subtract 7 from both sides

n/10 + 7 - 7 = 10 - 7

n/10 = 3

Cross multiply

n = 10 * 3

n = 30

Hence the solution to the equation is 30

Answer:

[tex]\sin \left(90^{\circ \:}-x\right)=\cos \left(x\right)[/tex]

Hence, option D is correct.

Step-by-step explanation:

Given the expression

[tex]sin\:\left(90^{\circ }\:-\:x\right)[/tex]

Using the angle difference identity

[tex]\sin \left(s-t\right)=\sin \left(s\right)\cos \left(t\right)-\cos \left(s\right)\sin \left(t\right)[/tex]

so the expression becomes

[tex]sin\:\left(90^{\circ }\:-\:x\right)=\sin \:\left(90^{\circ \:\:}\right)\cos \:\left(x\right)-\cos \:\left(90^{\circ \:\:}\right)\sin \:\left(x\right)[/tex]

as sin 90° = 1

so sin 90° cos x = cos x

also

cos 90° = 0

so con (90°) sin x = 0

Thus, the expression becomes

[tex]\sin \:\left(90^{\circ \:\:}\right)\cos \:\left(x\right)-\cos \:\left(90^{\circ \:\:}\right)\sin \:\left(x\right)=\cos \:\left(x\right)-0[/tex]

                                                           [tex]= cos (x)[/tex]      ∵ [tex]\cos \left(x\right)-0=\cos \left(x\right)[/tex]

Therefore,

[tex]\sin \left(90^{\circ \:}-x\right)=\cos \left(x\right)[/tex]

Hence, option D is correct.

Answer:

x=14

Step-by-step explanation:

White color has the same frequency as the distribution of colors in the bag.

The statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
in the bag, there are 100 cards, and an equal number of cards in colors blue, red, white, and yellow.
Frequency of each color card in bag = 100 / 4 = 25

Now,
if 20 colors have been drawn, the equally distributed frequency of each color,
= 20 / 4 = 5 card,
So from the table, the white color has a frequency of 5.

Thus, the white color has the same frequency as the distribution of colors in the bag.

Learn more about Statistics here:

https://brainly.com/question/23091366

#SPJ5

Answer:

7

Step-by-step explanation:

7/7=1

Answer

1=7/7

Step-by-step explanation:

Answer:

42.86

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

First, we turn it into a fraction:

18/42

Simplify:

3/7 = 42.86 (rounded)

So 18 is 42.86% of 42

Answer:

<A=60°, x=12, y=6√3

Step-by-step explanation:

<A= 180 - (<B+<C)

angles in a triangle add up to 180°

<B=90°, right angle, <C=30°, given

<A=180-(90+30)

<A=180-120

<A=60°

Side x.

Using the theorem

Side opposite 30° in right triangle is half the hypotunese, x, we know that 6 is half of x.

6 · 2 =12

Side y.

Use the pythagorean  theorem to find side y

[tex]\sqrt{a^{2} +b^{2} }[/tex]=c

we have c, which is x, and we need a, which is y,

so we subtract [tex]c^{2} -b^{2}[/tex]

12^2 - 6^2

144-36=108

[tex]\sqrt{108}[/tex] is not a perfect square

so factor,

[tex]\sqrt{108}= 6 \sqrt{3}[/tex]

6*6= 36*3 = 108, 6 is the perfect square so bring out

Answer:

Gwendolyn is faster than Francine by 2.9 seconds.

Step-by-step explanation:

15 3/4= 15.75

18.65- 15.75= 2.9

Answer:

x=24

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

The answer is 3/4

Step-by-step explanation:

Answer:

y=35

Step-by-step explanation:

y= 8(4)+3= 32+3= 35, so y=35

Answer: y=35

Step-by-step explanation:

Y=8x+3

Y=8(4)+3

Y=32+3

Y=35

Answer:

algebraic expression as they used variables

Step-by-step explanation:

PradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyonPradipmondaleightyon

Answer:

See photo

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

33= 11 * 3

99= 11 * 3 * 3

Answer:

33.

Step-by-step explanation:

33 = 3*11

99 = 3*3*11

The common factors are 3 and 11 so the GCF = 3*11 = 33.