What is the graph of the equation x^2-1=0

The pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

The HL theorem is a triangle congruence theorem which states that two right triangles are congruent to each other, if the hypotenuse of one is congruent to the hypotenuse, and also if one leg of one right triangle is congruent to a corresponding leg in the other right triangle.

Thus, if two triangles are right triangles having a pair of congruent hypotenuses and another pair of congruent side, then they are congruent by the HL theorem.

In conclusion, the pair of triangles that can be proven congruent by the HL theorem is: C. 2 right triangles having a pair of congruent hypotenuses and a pair of congruent side.

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Answer: IS A

Step-by-step explanation: Correct option is A)

Let the age of the son be x

∴ The age of his father =5x

Given that

(5x)

2

+(x)

2

=2106

25x

2

+x

2

=2106

x

2

=

26

2106

​

=81

∴x=9

∴ Age of son =9 years

Age of father =5x9=45 years

The correct graph for the compound inequality is the third graph.

Graph of Inequality

From the question, we are to determine the correct graph to the given compound inequality

The given compound inequality is

-3 < x ≤ 4

This means

-3 < x and x ≤ 4

That is,

x > -3 and x ≤ 4

The graph of x > -3 will start at -3 on the number line without shading the circle and it will point in the right direction

The graph of x ≤ 4 will start at 4 on the number line, with the circle shaded, and it will point towards the left

Joining the two graphs, we will get a number line starting at -3, unshaded, and ending at 4 shaded.

Hence, the correct graph for the compound inequality is the third graph.

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The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups

The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:

= 3 2/3 - 1/4

= 3 8/12 - 3/12

= 3 5/12

Therefore, the correct option is C.

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Answer:

Your Answer should be A Alternate interior Angles

Answer:

I believe the answer to this alternate interior angles.

This is because they are formed from opposite's sides of transversal.

By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).

In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:

E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)]          (1)

Where E(x, y) is the missing endpoint.

If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:

E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]

E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)

E(x, y) = (- 1, - 1) + (- 10, 10)

E(x, y) = (- 11, 9)

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Answer:

C. y=-1/2+1

Step-by-step explanation:

y=mx+b

m=slope

b=y-intercept

m=-1/2

b=1

Hope this helps!

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Answer:

63

Step-by-step explanation:

Angle ABD equals 89. That is the whole figure. Angle EBD equals 26. So 89 minus 26 equals 63. So Angle ABC equals 63 degrees.

Answer:

17 weeks

Step-by-step explanation:

She need to increase ( 176 - 108 ) = 68 pounds

68 pounds / (4 pounds/week) = 17 weeks

Answer:

shesh

Step-by-step explanation:

The mass of Jupiter can be written as 1.898 130 ×[tex]10^{6}[/tex] where 6  is a one-digit whole number which can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The powers mean the exponential powers

Jupiter is the fifth and the largest planet in the Solar System.

The mass of Jupiter has been calculated to be 1.9 × [tex]10^{27}[/tex] kg

or this can be written as  1 898 130 yottagrams

A unit of mass equal to 1,000,000,000,000,000,000,000,000 grams. Symbol: Yg.

1 898 130 can also be written as 1.898 130 ×[tex]10^{6}[/tex] Yg

6 is a one-digit whole number that can be used to write  Jupiter's mass using a one-digit whole number times a power of 10.

The unit is yottagram

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Answer:

Option C -   y=10x + 5

Step-by-step explanation:

All the options are in the y =mx+c form.

The gradient is 10 and the y-intercept is 5

so our answer it option c

Answer:

C. y = 10x + 5

Step-by-step explanation:

[tex]y = mx + c \\ \\ m = \frac{y2 - y1}{x2 - x1 \\ } \\ m = \frac{25 - 5}{ 2 - 0} \\ m = \frac{20}{2} \\ m = 10 \\ y = 10x + c \\ y = 10x + 5[/tex]

c = the y-intercept

The number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that each 14-pound of potting soil contains 3/6 cups of water. The number of the cups will be calculated by forming an expression below:-

Number of cups = (4 x 3/6)

Number of cups = 12/16  

Number of cups = 3/4 of a cup

Therefore, the number of cups of water contained in 1 pound of potting soil will be 3 / 4. The correct option is A.

The correct question is given below:-

Each 14-pound of potting soil contains 316 cups of water.

How many cups of water are contained in 1 pound of potting soil?

34 cups

1116 cups

112 cups

113 cups

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Answer: 1.43 meters

Step-by-step explanation:

subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record

Answer:

x = [tex]\frac{qy}{t}[/tex]

Step-by-step explanation:

[tex]\frac{tx}{q}[/tex] = y ( multiply both sides by q to clear the fraction )

tx = qy ( isolate x by dividing both sides by t )

x = [tex]\frac{qy}{t}[/tex]

Answer:

p = 11 , q = 3

Step-by-step explanation:

solution file attached

Answer:

-1/4 or -0.25

Step-by-step explanation:

use completing the square

hope this is right :)

Step-by-step explanation:

yes and saved dollar cohocolate

The computation shows that the degree of freedom for the numerator is 2 while it's 67 for the denominator.

It should be noted that degree of freedom is calculated as:

= k - 1

where k = variable in a data

k = 3.

Degree of freedom = 3 - 1 = 2

The degree of freedom for numerator is 2.

The degree of freedom for denominator is:

n - k

= 70 - 3

= 67

The degree of freedom for denominator is 67.

Note that the complete question is attached.

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The direct variation equation is in the form d = kt, where k is some constant. It's the constant of proportionality. In this case k = 2.

Answer:

I hope this helps!

Step-by-step explanation:

Move the constant to the right side

Add [tex](\frac{b}{ 2a} )^{2}[/tex] to both sides

Rewrite as [tex]( x +\frac{b}{2a}) ^{2}[/tex]

Take the square root of both sides

Solve for x

Answer:

-3

Step-by-step explanation:

3x+1=7+5x

-3x+1=7+-3x

1=7+2x

-7=-7+2x

-6=2x

-6/2=-3

-3=x

Answer:

I'm not sure if i'm doing this right, but I got 75

Step-by-step explanation:

(5-2)5*5^1 =  75

Using the perpendicularity concept, the perpendicular line is given at the end of the answer.

Two lines are perpendicular, they intersect at and angle of 90º. Hence, for this problem, to construct a line through P that is perpendicular to the line, we just need to draw a line crossing P at an angle of 90º.

Thus, the perpendicular line is plotted at the end of the answer, with a line inserted crossing P at an angle of 90º.

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Answer:

orange

Step-by-step explanation:

when you fried chicken nuggets it will turn to orange