y
Find the slope of the line that passes through the points
(2,-5) and (7.1).
x
2
7
y
-5
1
on
4
Step 1: Choose (X1.71).
2
-4
-2
2
4
ON
8
-2
-4
-6
Check

Answer:

[tex]a)365 \\ b)700 \\ c)76.5[/tex]

Step-by-step explanation:

[tex]a)360 + 5 \\ = 365[/tex]

Because each dash represent 10 and it's represent 5 in between of two dashes.

[tex]b)700[/tex]

Because each dash represent 100

[tex]c)76.5[/tex]

Because each dash represent 0.5

Answer :

By using EDL

a=bq+r

where a is > b

so a =867 and b=255

867=255×3+102

here r≠0 so a=255 and b=102

255=102×2+51

here r≠0 so a=102 and b=51

102=51×2+0

here r=0

so, Hcf of (867,255) is =51

Step-by-step explanation:

Hope it works out!!

Answer:

[tex]51[/tex]

Step-by-step explanation:

[tex]a=bq+r[/tex]

Where [tex]a > b[/tex]

[tex]867=255 \times 3+102[/tex]

[tex]255=102 \times 2+51[/tex]

[tex]102=51 \times 2+0[/tex]

Hcf of 867,255 is 51

Answer:

Solve by Substitution 3x+2y=7 , y=-3x+11. 3x+2y=7 3 x + 2 y = 7 ... y=−4 y = - 4. x=5 x = 5. The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

[tex](\frac{\sqrt{3} }{2} ,-\frac{1}{2} )[/tex]

Step-by-step explanation:

If you look at a unit circle it will show you the answer.

Answer:

z=5, m<b=66 degrees

Step-by-step explanation:

8z+74+2z+56=180

10z+130=180

10z=50

z=5

Answer:

Step-by-step explanation:

To Find the value of x in this Alternate Interior Angle Relationship..

add [tex]8x+74[/tex] and [tex]2x+56[/tex]

[tex]8x+74+2x+56[/tex] combine like terms

[tex]10x+130=180[/tex]

subtract 130 on both sides

[tex]10x=50[/tex]

divide 10 on both sides

[tex]x=5[/tex]

Now solve for the angle of measure B

∠B=2(5)+56

∠B=10+56

∠B=66°

Answer:

Step-by-step explanation:

[tex]A -of -circle= \pi*r^{2}\\ Note : A -semicircle- is -half -of- a- circle\\Area = \frac{ \pi*r^{2}}{2} \\r = 1\\A =\frac{3.14*1^{2}}{2}\\A = \frac{3.14}{2} \\A = 1.57[/tex]

Answer:

44 units

Step-by-step explanation:

When you perform a dilation on a figure, all of the side lengths of the figure get multiplied by the scale factor. This means that the perimeter is also multiplied by that scale factor. Since in this case that scale factor is 2, the new perimeter is 22*2=44 units. Hope this helps!

Answer:

44 units.

Step-by-step explanation:

Dilation is the transformation of an image's size by a scale factor.

The scale factor is given 2.

The rectangle has a perimeter of 22.

22 × 2 = 44

The perimeter for the resulting image is doubled by the scale factor of 2.

Answer:

58.3°

Step-by-step explanation:

Missing Information:

In this question the diagram is missing Following are the attachment of diagram of the given question.

As we seen that the vertex c is making the right angle i,e 90°  also there is an acute angle the Hypotenuse: 20 cm and the perpendicular is 10.5 cm

Now we have find the best approximation of the angle ABC used the cosx  trigonometric function.

[tex]cos\ x\ =\ \frac{perpendicular}{Hypotenuse} \\[/tex]

Putting the value of perpendicular and hypotenuse in the previous formula we get

[tex]cos\ x\ =\ \frac{10.5\ cm}{20\ cm} \\[/tex]

[tex]x\ =cos^{-1}\ 0.525\\x \ = \ 58.33[/tex]

Answer:

58.3

Step-by-step explanation:

jus did the test review on EDGE! :)

Answer:

Angle 1 = 110 degrees

Angle 2 = 70 degrees

Angle 3 = 100 degrees

Angle 4 = 80 degrees

Step-by-step explanation:

We will first of all search for the pieces of information given in the question that can help us to solve the problem.

From the diagram, we can see that angle 3 and angle 4 are already given as

Angle 3 = 100 degrees

Angle 4 = 80 degrees

The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.

Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees

Angle 2 = 70 degrees

Answer:

Tabita's average speed was   [tex]21.6\,\,\frac{km}{h}[/tex]

Step-by-step explanation:

Let's start by finding the distance Badr covered during the 1.5 hour trip at the speed of 18 km/h. We use the velocity formula for that:

[tex]vel=\frac{distance}{time} \\18=\frac{distance}{1.5} \\distance=18\,*\,1.5 \,\,km\\distance= 27\,\,km[/tex]

Using the same basic formula, we can now estimate Tabita's average speed knowing that it took her 1 hour and 15 minutes (1.25 hours) to complete the trip:

[tex]vel=\frac{distance}{time} \\vel=\frac{27\,\,km}{1.25\,h}\\vel=21.6\,\,\frac{km}{h}[/tex]

Answer:

21.6

Step-by-step explanation:

Answer:

Gradient = m = -2

Y-intercept = b = 0

Step-by-step explanation:

Compare the given equation with slope-intercept form of equation.

y = mx + b

y = -2x + 0

So، m = -2 and b = 0

Best Regards!

Answer:

The value of the line is 5.83.

Hope it helps!

Answer:

d = √34 or 5.83

Step-by-step explanation:

Distance formula: [tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

Point R (-3, 1)

Point S (2, 4)

d = √(2+3)²+(4-1)²

d = √(5²+3²)

d = √(25 + 9)

d = √34 or 5.83095

Step-by-step explanation:

1. 180-115 = 65°

2. 360-304= 56°

3. 180 - (65°+56°)

= 180 - 121

x = 59°

Answer:

this may help uh to solve this type of problems.

Answer:

£100.32

Step-by-step explanation:

£88 + 14% × £88 = £88

 = 1.14×£88

 = £100.32

Answer:

Step-by-step explanation:

[tex]88 \times \frac{14}{100} = 12.32[/tex]

so,

[tex]88 + 12.32 = 100.32[/tex]

hope this helps you

Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

Answer:

Step-by-step explanation:

The formula for a geometric sequence is

[tex]a_n=a_1*r^{n-1}[/tex] where n is the position number in the sequence, a1 is the first number in the sequence, and r is the common ratio. For us,

n is 14, a1 is 5, and the common ratio (the number we multiply by each number to get to the next one in line) is -2.

[tex]a__{14}=5*(-2)^{14-1}[/tex] and

[tex]a_{14}=5*(-2)^{13}[/tex] and

[tex]a_{14}=5(-8192)[/tex] so

[tex]a_{14}=-40960[/tex]

What he said should be correct.

Answer:

y -3 = -4(x+2)

Step-by-step explanation:

The point slope form of a line is

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

where m is the slope and (x1,y1) is a point on the line

y -3 = -4(x- -2)

y -3 = -4(x+2)

Answer:

B.

Step-by-step explanation:

The quickest and most fool-proof way to do this is to using a graphing calc to graph the given equations. When you do so, you should see that B is the right choice. You can also tell from the asymptotes. x cannot equal 1 or -1, so B.

Answer:

last two numbers are 10,so their mean is 10

adding all means give us the mean of total data

Step-by-step explanation:

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

Step 1: Cross-multiply

3x² = 4x² + 3x

Step 2: Isolate x's

0 = x² + 3x

Step 3: Factor

0 = x(x + 3)

Step 4: Find roots

x = 0, -3

Step 5: Double check work

Plug in both to see if they both work. Only x = 0 should be extraneous. We now have our answer!

Answer:

x = -3, x = 0 is a extraneous solution

Step-by-step explanation:

the person above is correct

Answer:

x = 6.5

Step-by-step explanation:

2x - 3 = 10

2x = 10 + 3

2x = 13

x = 6.5

Answer:

Small piece is 4.3

Large piece is 5.7

Step-by-step explanation:

Let small piece be x

Large piece will be 2x-3

x + 2x - 3 = 10

3x -3 = 10

x = 13/3

Large piece will be 2*13/3 -3 = 17/3

Answer:

15/4

Step-by-step explanation:

This is because the denominator is 4 which means that there has to be 4 above it to make one:

4/4=1

So, with that being said, we do 4x3 = 12

But then we add 3 to the numerator(top number of the fraction) because the starting equation was:

3 3/4 = 15/4

Hope this helps!

Have a great day! :)

Answer:

D.

Step-by-step explanation:

Since its x minus five, that means you must be moving left to make it negative. This is thus moving left five. This then cancels out A , B, and C, leaving you with D.

i would answer you're question. i'm trying to work it out but i'm not really understanding it. :(

Answer:

The area of the parallelogram is 20 unit²

Step-by-step explanation:

We have that the area of a parallelogram = Base length, l × Height, h

The length of the base, l = √((5 - 0)² + (-2 - (-2))²) = 5

Given that the base of the parallelogram is parallel with to the x-axis, we have that the height is the difference between the a higher and a lower y-coordinate as follows;

h = y₃ - y₁ =  2 - (-2) = 2 + 2 = 4

Therefore, the area of the parallelogram, A = l × h = 4 × 5 = 20 unit².

Answer:

Answers are below

Step-by-step explanation:

12) No because the scale factor is not the same between the two rectangles

13) Yes. TUV is congruent to XYZ. The scale factor is 3/4.

14) Yes. I used SAS to see whether or not the triangles were similar. PQR is congruent to UVW.

15) Yes. I used 14) Yes. I used SAS to see whether or not the triangles were similar. DGH is congruent to FEH.

Answer:

65 mph

Step-by-step explanation:

divide

ex: 195 ÷ 3 = 65mph

260 ÷ 4 = 65mph

Answer:

c

Step-by-step explanation: