What expression is equivalent to

Answer:

hey hope this helps

AB =

[tex] \sqrt{ {1}^{2} + {1}^{2} } [/tex]

[tex] = \sqrt{2} [/tex]

DE

[tex] = \sqrt{ {(3 - 5)}^{2} + {(1 + 1}^{2} } \\ = \sqrt{ {( - 2)}^{2} + {(2)}^{2} } \\ = \sqrt{4 + 4} \\ = \sqrt{8} \\ = 2 \sqrt{2} [/tex]

So DE = 2 × AB

and since the new triangle formed is similar to the original one, their side ratio will be same for all sides.

scale factor = AB/DE

= 2

It's been reflected across the Y-axis

moved thru the translation of 3 units towards the right of positive x- axis

for this let's compare the location of points B and D

For both the y coordinate is same while the x coordinate of B is 0 and that of D is 3

so the triangle has been shifted by 3 units across the positive x axis

Answer:

y = 2x - 5

Step-by-step explanation:

Slope intercept form: y = mx + c

3y - 6x = -15

3y = 6x - 15

[tex]\frac{3y}{3}=\frac{6x}{3} -\frac{15}{3}\\\\y =2x - 5[/tex]

Answer:

44.

Step-by-step explanation:

Given expression: [tex]3t^2-t[/tex]

To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.

After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.

[tex]3(4)^2-4[/tex]

[tex]=3(16)-4[/tex]

[tex]=48-4[/tex]

[tex]=48-4=44[/tex]

[tex]\to \inft3(4)^2-4=44[/tex]

Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.

Answer:

27 1/3

Step-by-step explanation:

Since both angles form a straight line of 180, you can set your formula up as

180=4x+2x+16

180-16=6x

164=6x

164/6=x

Joseph needs to buy 2 bags of grass seed as there are 6 pounds of seeds. Option G is correct.

Let us determine the total area of his lawn by multiplying its length and width.

Length of the lawn = 40 feet

Width of the lawn = 15 feet

Total area = Length × Width

= 40 feet × 15 feet

= 600 square feet

Now, calculate how many pounds of seed are required to cover 600 square feet.

One pound of seed covers an area of 100 square feet.

Therefore, we divide the total area by the coverage area of one pound of seed.

Total pounds of seed needed = Total area / Coverage area per pound of seed

= 600 square feet / 100 square feet

= 6 pounds of seed

Since the seed is sold in five-pound bags, Joseph would need to purchase at least 2 bags of grass seed (each bag containing 5 pounds) to cover his lawn.

Therefore, the correct answer is 2 bags. option G is correct.

To learn more on Area click:

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Answer:

(-2 , 5) (2 , 3)

m = y2 - y1 / x2 - x1

= 3 - 5 / 2 + 2

- 2 / 4 = - 1/2

- 1/2 = y - 3 / x - 2

cross multiply and u get

y = -0.5x + 4

Answer:

3260 is the ratio of two similar trapizoids

Answer:

7:3

Step-by-step explanation:

(Ratio of perimeter)^2 = ratio of area.

Therefore

ratio of perimeter = sqrt(ratio of area) = sqrt(49/9) = 7/3

Answer

option C (60 degrees)

Step-by-step explanation:

solution attached in the picture

Answer:

3 4/15

Step-by-step explanation:

7 1/15= 106/15

3 4/5= 19/5

19/5*3= 57/15

106-57= 49

49/15

3 4/15

Multiply both sides by 6 and you'll end up with x ≤ -108

The graph will involve a closed circle at -108 and shading to the left

See below.

We use a closed circle to include the endpoint -108 itself. If we didn't have the "or equal to" part, then we'd be using an open hole at the endpoint instead.

The shading to the left is to describe values smaller than -108. Overall, the entire thing consists of stuff smaller than -108 or -108 itself.

Answer:

7850

Step-by-step explanation:

Net worth: Assets-debt

The assets are:

car

investments

The debts:

credit cards

so we have

(3700+5400)-1250= 7850

A ' (4,0)

B ' (6,3)

C ' (3,4)

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

Explanation:

I'm assuming the center of dilation is the origin.

If so, then we multiply the scale factor 1/4 = 0.25 by each of the coordinates of the three points.

Point A(16,0) will move to A ' (4,0) since

Point B(24,12) will move to B ' (6,3) since

We have enough information to see that choice B is the final answer

If you wanted to keep going, then point C(12,16) will move to C ' (3,4) for similar reasoning/steps as the previous two points.

The resulting image triangle A'B'C' will have its side lengths 1/4 of that compared to the side lengths of the preimage triangle ABC.

The scale factor k is such that 0 < k < 1, which indicates the image will be smaller compared to the preimage. If k > 1, then the image would have been larger than the preimage.

Answer: Its 5.71%

Step-by-step explanation:

2/35*100=5.71

Answer:

19 Five is not tangent to the circle.

20 Eight is tangent to the circle.

Step-by-step explanation:

In order for one of the legs to be a tangent to a circle, the length must be part of a right angle triple.

I don't think the diagram on the left is, but I'll check it.

5^2 + 12^2 =

25 + 144 =

169

square root of 169 is 13

The length of the hypotenuse should be 13 not 14. Fourteen does not make Pythagorean triple. 13 would. So the line 5  units long does not make a tangent to the given circle.

The diagram on the right is a different story. 6 8 and 10 do make a Pythagorean triple, even though the two diagrams are not the same.

The radius and the distance to the external point  form a right angle.

The Pythagorean triple is

6^2 + 8^2 = 10^2

36 + 64 = 100  

100 = 100

Answer: 11/4

Step-by-step explanation:

Please look into the attachment.

If it was helpful then please make sure to mark it as Brainlist.

Thanks!

Answer:

2.75

Step-by-step explanation:

So to figure this out, lets start by converting it into a inproper fraction.

So we know that the whole number is 7, and the denominator is 16, so we need to multiply them together to make our fraction improper:

7*16

=

112

Now add the 9 from what we already had of the fraction:

112+9

=

121

So our improper fraction is:

121/16

Now we must find the square root.

So to find the square root of a fraction, you have to take the square root of both the numerator and the denominator.

The square root of 121 is 11. We know this because 121 is a perfect square, and 11*11 makes 121.

The square root of 16 is 4. We know this as well because 16 is also a perfect square, and 4*4 makes 16.

So the square root of 121/16 is now:

11/4

If you need to, you can convert this into a mixed fraction or a decimal.

4 goes into 11, 2 times with a remander of 3. So:

2 3/4.

3/4 is equivelent to 0.75, so this can also be:

2.75

This is your answer!

Hope this helps!

Answer:

15

Step-by-step explanation:

The equation of the parallel line is y = x + 17.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

We are given that;

The table of line

Now,

The given line is shown in blue on the graph. We can see that it passes through two points: (0, 3) and (4, 7). We can use these points to find the slope of the given line:

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

m = (7 - 3) / (4 - 0)

m = 4 / 4

m = 1

The slope of the parallel line is also 1, since parallel lines have the same slope.

The point P is shown in red on the graph. We can see that its coordinates are (-8, 9). We can use this point and the slope to find the equation of the parallel line. We can use either slope-intercept form or point-slope form. We will use point-slope form here:

y - y1 = m(x - x1)

y - 9 = 1(x - (-8))

y - 9 = x + 8

y = x + 17

Therefore, by the given slope the answer will be y = x + 17.

Learn more about slope here:

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Answer:

Step-by-step explanation:

We can easily determine the exact value of this unknown angle by breaking it into known angles that can add together to give up 105. For example, 105 degrees is 60 + 45, both of which are found on the unit circle. We ill also use the trig identity for the sum of the cos of 2 angles which is:

[tex]cos(60+45)=cos60cos45-sin60sin45[/tex]

These values are found on the units circle, so make sure you have one handy. Those values fill in as follows:

[tex](\frac{1}{2})(\frac{\sqrt{2} }{2})-(\frac{\sqrt{3} }{2})(\frac{\sqrt{2} }{2})[/tex] which simplifies to

[tex]\frac{\sqrt{2}-\sqrt{6} }{4}[/tex]

Answer:

D. Zero product property of multiplication

Step-by-step explanation:

The property of real numbers that Felipe used for step 2 is Zero product property of multiplication.

The zero product property of multiplication states that if any two factors of an algebraic expression is multiplied together and equated to zero, at least one of the expressions is equal to zero.

In the above question, factorising the algebraic expression above, we have two factors:

(x+2) and (x+4),

(x+2) (x+4) = 0

Hence,

x+2 =0 or X+4=

Therefore, Option D is correct.

Answer:

x = 24

x = 20

Steps :

[tex]1) \ \frac{x}{3} - 2 = 6\\\\\[/tex]

 [tex]\frac{x - 6 }{3} = 6\\\\\ \ x-6 = 6 \times 3\\\\\ \ x - 6 = 18\\\\\ \ x = 24[/tex]

[tex]2) \frac{x}{5} + 1 = 5[/tex]

  [tex]\frac{x+5}{5} = 5\\\\x + 5 = 5 \times 5\\\\x + 5 = 25\\\\x = 20[/tex]

Answer:

Translation of 4 units to the right and 2 units down

Hope this helps!

the translation is 4 units to the right and 2 down

Answer:

0.25

Step-by-step explanation:

1) the probability for Spinner-1 is:

1/3;

2) the probability for the Spinner-2 is:

3/4;

3) the required probability for the Spinner-1 and the Spinner-2 is (should be used the rule logical 'AND'):

1/3 * 3/4 = 1/4=0.25

Answer:ak

Step-by-step explanation:

Answer:

x=9

Angles = 50

Step-by-step explanation:

The angles are alternate interior angles and alternate interior angles are equal

4x+14 = 6x-4

Subtract 4x from each side

4x+14-4x = 6x-4-4x

14 = 2x-4

Add 4 to each side

14+4 = 2x-4+4

18 =2x

Divide by 2

18/2 =2x/2

9 =x

The angles are equal

4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50

Answer:

Purchase rate = 553.18 U.S dollar

Selling rate = 547.90 U.S dollars

Step-by-step explanation:

Purchase rate

1 U.S. dollar = NRs.103.72

Selling rate

1 U.S. dollar = NRs.104.32

How many American dollar can be exchanged withNRs.57, 376

Purchase rate

1 U.S. dollar = NRs.103.72

Amount of U.S. dollar = NRs.57, 376 / NRs.103.72

= 553.18164288468

Approximately

553.18 U.S dollar

Purchase rate = 553.18 U.S dollar

Selling rate

1 U.S. dollar = NRs.104.32

Amount of U.S. dollar = NRs.57, 376 / NRs. 104.32

= 547.89915966386

Approximately,

547.90 U.S dollars

Selling rate = 547.90 U.S dollars

Answer:

3.6

Step-by-step explanation:

-7a+1.6a=-19.44

-5.4a=-19.44

5.4a=19.44

a=19.44/5.4

a=3.6

Answer:

3.72

(its not rounded I just calculated it and got that, hope it helps:)

Answer:

1. First, find the mean of the data set.

2. Find the average of the numbers by adding them and dividing them by the number of values

3. Subtract the mean from each value in the table.

Step-by-step explanation:

Your answer is correct! Hope this helps!