I need help with this

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

Step-by-step explanation:

The general form of a linear equation is given by :

y = mx +b

Where

m is the slope

b is the y-intercept

(a) y = 2x - 3

It is in the form of a linear equation.

Standard form, y =2x+(-3)

(b) The equation is 4x = 2y

or

2y = 4x

y = 2x + 0

It is in the form of a linear equation with slope of 2 and y-intercept of 0.

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

Explanation:

If you have exactly one right angle, then it is possible to have no parallel lines.   See the diagram below. Refer to the upper figure.

If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.

If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.

It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.

the answer is 3

.............. .......

Answer:

third box

first box

second box

Step-by-step explanation:

1/3x + 1/4 -2/3x; combine like terms

-1/3x + 1/4 (third box)

1/3x + 1/4 + 2/3x; combine like terms

(3/3)x +1/4 (first box)

3/3 is 1, so we don't have to write it

2/3 + 3/4x -1/3; combine like terms

1/3 + 3/4x (swap, and is second box)

Answer:

Below in bold.

Step-by-step explanation:

y = 4(x + 2)^2 + 4

As the coefficient of x^2 is positive it will have a minimum value.

The minimum value is the last term  = 4.

Answer:

Find the theoretical probability that you will choose each color. P(green) = ___/​___ ... 98% or 100%. 3. Bailey uses the results from an experiment to calculate the probability of each color of block being chosen from a bucket. He ... If the sum of the two number cubes in even, Player 1 (or) 2 scores a point.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

3)

[tex]x = \sqrt[3]{8}[/tex]

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

Answer:y< 3x + 12

y> 5x + 7

Step-by-step explanation:

Answer:

i hatee maths thank u

Step-by-step explanation:

Answer:

its the first, 3rd, and 5th option

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The domain of the function graphed below is set of all numbers less than 7 or x<7.

The domain of a function f(x) is the set of points(representing independent variable x) to define the function.

In the shown graph of the function,

The given function is defined everywhere except 7 and greater than 7.

So, the domain of the function is x<7.

Hence, the  domain of the function graphed below is set of all numbers less than 7 or x<7.

To get more about domain visit:

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Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

18 i think

Step-by-step explanation:

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

x ≈ 7.7

Step-by-step explanation:

Using the sine ratio in the right triangle

sin69° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{HI}{GI}[/tex] = [tex]\frac{7.2}{x}[/tex] ( multiply both sides by x )

x × sin69° = 7.2 ( divide both sides by sin69° )

x = [tex]\frac{7.2}{sin69}[/tex] ≈ 7.7 ( to the nearest tenth )

Answer:

x = 24

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(14+18)* 18 = x^2

32*18 = x^2

576 = x^2

Take the square root of each side

sqrt(576) = sqrt(x^2)

24 =x

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

Answer:

The answer is option C

A + B are correct

via a p e x

The correct statements are A and B

'A triangle in which one of the interior angles is 90° is called a right-angled triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.'

According to the given problem,

cos(A−B) = cosAcosB + sinAsinB .

Let A=90∘, B = a

Therefore.

cos(90∘−a) = cos90∘cosa + sin90∘sina.

Here, we have,

cos90∘ = 0, sin90∘ = 1.

cos(90∘−a) = sina

Now, we know,

sin∅ = [tex]\frac{Perpendicular}{Hypotenuse}[/tex]

cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]

For ∠BAC,

cosA = [tex]\frac{AB}{AC}[/tex]

For ∠ACB,

sinC =  [tex]\frac{AB}{AC}[/tex]

Hence, we can conclude, A and B are the true statements for the given right-angled triangle.

Learn more about right-angled triangle here:

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Answer:

9 < √97 < 10

Step-by-step explanation:

√97 is a little less than √100

Which is 10

9 < √97 < 10

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

Explanation:

Consider that 81 < 97 < 100 is a true statement. Note the 81 and 100 are perfect squares such that 81 = 9^2 and 100 = 10^2

We can apply the square root to all three sides to get the following

[tex]81 < 97 < 100\\\\\sqrt{81} < \sqrt{97} < \sqrt{100}\\\\\sqrt{9^2} < \sqrt{97} < \sqrt{10^2}\\\\9 < \sqrt{97} < 10\\\\\text{The number }\sqrt{97} \text{ is between 9 and 10}\\\\[/tex]

Using a calculator, we can help verify this

[tex]\sqrt{97} \approx 9.85[/tex]

[tex] \boxed{ \huge\boxed{ \mathcal{A}\mathfrak {nswer...}}}[/tex]

The equation of a circle is represented as :

[tex] \large\boxed{(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} }[/tex]

where,

So, from above equation we get:

Therefore, Radius of the given circle measures 6 units.

[tex] \mathrm{✌TeeNForeveR✌}[/tex]

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Answer:

1/6

Step-by-step explanation:

We know that a die has 6 sides. What would be the probability to roll 1 of those sides? (to rephrase the question)

well. the probability to roll one of the sides on a 6 side dice is 1/6, 1 side on the 6 sided die.

Answer:

1/6

Step-by-step explanation:

There are six possible outcomes when rolling a die

1,2,3,4,5,6

P(rolling a 2) = number of outcomes that is a 2/ total outcomes

                     = 1/6

Answer:

2(2x+x-10)

Step-by-step explanation:

The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.

Answer: (−2)(+2)(/2+5)

Step-by-step explanation:

the second is ur answer

x|y

1|2

2|4

3|8

4|16