what must be added to
15x²-10x to make it
perfect square
a​

Answer:

D. 127.5 square units

Step-by-step explanation:

AC=17

BD=15

AB=11.5

Diagonal (1&2) are given, base of the rhombus is also given.

Height is not given

Area of a rhombus given the diagonals

=1/2×d1×d2

Where,

d1=AC=17

d2=BD=15

Area of a rhombus=1/2×d1×d2

=1/2×17*15

=1/2×255

=127.5

D. 127.5 square units

Answer:

D for sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a trapezoid = 1/2(a + b) × h

where

h is the height

a and b are the other sides

From the question

h = 3 feet

a = 5 feet

b = 7 feet

Area = 1/2(5+7) × 3

= 1/2 ( 12) × 3

= 6 × 3

The answer is

= 18

Hope this helps you.

Answer:

$ 84.50

Step-by-step explanation:

Regular price = $130

Discount = 35% of 130

               = [tex]\frac{35}{100}*130[/tex]

              = 0.35 * 130

             = $ 45.50

Price of the sunglasses after discount = Regular price - discount

                                                               = 130 - 45.50

                                                              = $ 84.50

Answer:

a= 5    and   b=1

Step-by-step explanation:

To solve, we will follow the steps below:

2x + 3y = 7

(a-b)x + (a+b)y = 3a + b - 2​

We should note that since it has infinitely many solutions then,

[tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex]

Hence

2/a-b  =  3/a+b   =     7/3a +b-2

2/a-b  =  3/a+b

cross-multiply

3(a-b) = 2( a+b)

open the bracket

3a - 3b = 2a + 2b

collect like term

3a - 2a = 2b + 3b

a = 5b  -------------------------------------------(1)

Similarly

3/a+b   =     7/3a +b-2

cross-multiply

7(a+b)  = 3(3a+b -2)

7a + 7b = 9a + 3b -6

take all the variables to the left-hand side of the equation

7a - 9a+ 7b-3b =   -6

-2a + 4b = -6 ---------------------------------(2)

but a = 5b

substitute a= 5b in equation (2)   and solve for b

-2(5) + 4b = -6

-10  +  4b  = -6

add 10 to both-side of the equation

-10  + 10+ 4b  = -6+10

4b = 4

divide both-side of the equation by 4

b = 1

substitute b= 1 in equation (1)

a = 5b

a =5(1)

a=5

Therefore,   a= 5    and   b=1

Answer:

(8.5+x)×2=24

8.5+x=12

x=3.5

Answer:

Breadth = 3.5cm

Step-by-step explanation:

Perimeter = 2L + 2B

24cm = 2(8.5) + 2B

2B = 24 - 17

B = 7÷2

B = 3.5

Answer:

14 and 4

Step-by-step explanation:

xy = 56

x - y = 10

x = 10 + y

(10+y)y = 56

10y + y² = 56

y² + 10y - 56 = 0

(y-4)(y+14) = 0

y - 4 = 0

y = 4

y + 14 = 0

y = -14

y is a positive integer so y = 4.

x - 4 = 10

x = 14

The two numbers whose product is 56 and difference is 10 are 14 and 4

A = 14

B = 4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first number be = A

Let the second number be = B

The product of two numbers is = A x B

The difference of two numbers is = A - B

Now , the equation is

A x B = 56

A - B = 10

Now ,

( A - B )² = A² + B² - 2 ( A x B )

Substituting the values of A and B in the equation , we get

100 = A² + B² - 112

Adding 112 on both sides , we get

A² + B²  = 212

When A = 14

B² = 212 - 196

B² = 16

So , B = 4

Therefore , the value of A is 14 and value of B is 4

Hence , The two numbers whose product is 56 and the difference is 10 are 14 and 4

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Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

Since the parabola appears to be flatter than the parent function, we can say that C. It has been stretched horizontally.

Hope this helps!

Answer: Option D

Step-by-step explanation

Because

Answer:

f = -5/3

Step-by-step explanation:

-3/4f = 5/4

Multiply each side by -4/3 to isolate f

-4/3*-3/4f = 5/4*-4/3

f = -5/3

Answer:

Hey there!

We have -3/4f=5/4

Multiply both sides by -4/3, to cancel out the -3/4.

f=-5/3

Hope this helps :)

Answer:

Step-by-step explanation:

The key to solving this question is to find the distance bwtween the two points given

distance=y2-y1/x2-x1

(2,4)(4,8)

2=x1,4=y1

4=x2

8=y2

8-4/4-2

4/2=2

The depth of the water is increasing by 2 ft each minute

Answer:

it is incresing by two feet each minute

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

There are 9 total combinations and 3 of them include a burger, 2 of them that have salad but not a burger. If you add them together it equals 5/9

The probability of selecting a combination that includes a burger or a salad is 5/9

Since the total of 6 outcomes include fries or fruit as the side dish.

There is a total of 9 possible meal combinations. A person must choose an Entree and a side dish.

The Entrees consist of burgers, tacos, and pizzas.

The side dishes consist of salad, fries, and fruit.

To find the number of combinations consisting of fries or fruit, we calculate the individual combinations.

With fries as side dish, which can choose a burger, a pizza or a taco as your Entree.

There are 3 combinations each, there are a total of 6 combinations with fruit or fries as the side dish.

There are 9 total combinations and 3 include a burger, rest 2 that have salad but not a burger.

then probability = 5/9

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Answer:

x = 10

Step-by-step explanation:

One of the smaller angles that is created by the angle bisector measures 5x+4.

An angle bisector cuts an angle into two equal parts. So, 5x+4 = 1/2 (108) or

2(5x+4)=108 (divide both sides by 1/2)

10x+8=108 (distribute)

10x=100 (subtract 8 from both sides)

x=10 (divide by 10)

x=10

Answer:

Option B

Step-by-step explanation:

Area of kite = product of 2 diagonals, p and q / 2

here, p = 10 + 10 = 30 feet

q = 3 + 3 = 6 feet

∴ Area = 30 × 6 / 2

90 ft^2

Hope it helps

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Answer:

[tex]\boxed{Area = 90 ft^2}[/tex]

Step-by-step explanation:

Diagonal 1 = p = 3+3 = 6 ft

Diagonal 2 = q = 10+20 = 30 ft

Area = [tex]\frac{pq}{2}[/tex]

Area = [tex]\frac{(6)(30)}{2}[/tex]

Area = 3*30

Area = 90 ft^2

Answer:

Not sure if this is what you want, but there are 14 5-point questions and 10

3-point questions.

Hope it helps <3

i dont know what the answer is but im in 8th grade and need help

Answer:

They made 36 three-point field goals

Step-by-step explanation:

For free throws , we have one point each.

So here, the total points they made from free throws is 22 * 1 = 22 points

So the number of points made from field goals would be 184-22 = 162 points

So the issue we have now is knowing the number of 3-point field goals that was made.

How can we get this?

Remember they made 85 baskets? so if we subtract the number of free throws, then we can have the number of field throws and that is 85-22 = 63

Now, let the number of 2 points throws be x and the number of 3 points throws be y

From our earlier analysis;

x + y = 63 ••••••••• (i)

Now the total number of three pointers would be 3 * y = 3y and the total number of two pointers would be 2 * x = 2x

Adding both gives a total of 162

Thus;

2x + 3y = 162 •••••••• (ii)

So we have two equations to solve simultaneously.

From equation 1, we can say that;

x = 63-y

Let’s substitute this into equation 2

2(63-y) + 3y = 162

126 -2y + 3y = 162

126+y = 162

y = 162-126

y = 36

This means that they made 36 three-point field goals

Answer:

A)21

B) 70

C)89

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=180° - 110° =70°

a = 21°

C= 180° - b - a= 180 - 70 - 21= 89°

[tex]good \: luck[/tex]

Answer:

{t|60 <= t <= 85}

Step-by-step explanation:

The temperatures were measures at different times, but does not stop the values being real numbers (i.e. not discrete, or integer values).

So the range of the function is the set of all values between the minimum and maximum measured during the measuring interval (domain) of hours two and twenty-two.

The minimum value = 60F

The maximum value = 85F

So the interval of the range is [60,85], in interval notation.

In set-builder notation, it is

{t|60 <= t <= 85}

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Note that 49 = 7² and 343 = 7³

Consider the left side, that is

[tex]\frac{7^{2x+1} }{7^2}[/tex] = [tex]7^{(2x+1-2)}[/tex] = [tex]7^{(2x-1)}[/tex] , thus

[tex]7^{(2x-1)}[/tex] = 7³

Since bases on both sides are equal, equate the exponents, that is

2x - 1 = 3 ( add 1 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Answer:

Step-by-step explanation:

3x + 1 =  10

3x = 10 - 1

3x = 9

x = 9/3

x = 3

hope this helps

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There are six equilateral triangles in a regular hexagon.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

A regular hexagon has six equal sides and six equal angles.

It can be divided into six equilateral triangles by drawing lines connecting the center of the hexagon to each vertex.

Each of these triangles has the same side length and angle measures.

A square has four sides and four right angles, but it is not a regular polygon because it does not have equal side lengths.

A polygon is a general term for a shape with three or more straight sides, but it does not refer to any specific shape or properties.

An octagon has eight sides and eight angles, but it cannot be divided into equilateral triangles because the angle measures are not all equal.

Thus,

There are six equilateral triangles in a regular hexagon.

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Answer:

Option C

Step-by-step explanation:

In the matrix, the determinant is the difference between the opposite elements multiplied.

So, the opposite elements multiplied will give us:

=> ad,bc

The difference is

=> ad-bc

Answer:

ad - cb

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Because the pre image and dilated image are congruent, the scale factor is 1.

Answer:

x = 27

Step-by-step explanation:

Step 1: Write out equation

54 + 6x = 216

Step 2: Solve for x

6x = 162

x = 27

Answer:

x=27

Step-by-step explanation:

54+6x=216

Collect like terms:

6x=216-54

6x=162

Divide both sides by the coefficient of x

6x\6=162\6

x=27

Answer:

100-500

Step-by-step explanation:

Both sides of a triangle cannot be shorter than the remaining side.  Thus, the side must be less than 500 units.  With the same rule, the side must be greater or equal to 100 units, as if it was less, then 200 + 99 < 300.

The compound inequality for the range of the possible lengths for the third side will be 100- 500.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The meaning of inequality is to say that two things are NOT equal. One of the things may be less than, greater than, less than or equal to, or greater than or equal to the other things.

Given:

side lengths of 200 units and 300 units.

The largest value of the third side will be

200+300=500

and, the smallest value will be

300-200=100

Hence, 100<X<500

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Answer:

11

Step-by-step explanation:

3 times 11 gives you 33 which would be the product

3 x 11 = 33

subtract the 12(twelve) from the 33(product)

33 - 12 = 21

Answer:

g(k + 1) = k² - 2k - 3

Step-by-step explanation:

Step 1: Plug in (k + 1) in for x

g(k + 1) = (k + 1)² - 4(k + 1)

Step 2: FOIL

g(k + 1) = k² + 2k + 1 - 4(k + 1)

Step 3: Distribute

g(k + 1) = k² + 2k + 1 - 4k - 4

Step 4: Combine like terms

g(k + 1) = k² - 2k - 3

Answer: 756

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Angle XYZ is an inscribed angle. An inscribed angle is equal to half of its arc.

144/2 is 72.

The value of XYZ is 72.

Answer:

B. 9 feet

Step-by-step explanation:

area = side^2

side^2 = 84

side = sqrt(84)

side = 9.2 ft

Each side of a wall measures 9.2 ft.

Answer:

Since 7 is √49 and 8 is √64 and 49 < 56 < 64 the answer is 7 < √56 < 8.