What number makes the equation true? 25-6=7+4+?

Complete the following statement.

Svetradugi [14.3K]

Answer:

if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

Step-by-step explanation:

We need to find the remainder if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$

Dividing $p ( x ) = x^2 + 7 x + 3$ by $x + 4$

The division is shown in figure attached.

The remainder = -9

The quotient = x+3

So, if $p ( x ) = x^2 + 7 x + 3$ is divided by $x + 4$ , the remainder is -9

3 0

3 years ago

Seth is using the figure shown below to prove Pythagorean Theorem using triangle similarity. In the given triangle ABC, angle A

lana66690 [7]

The relationship between the lengths of the sides of a right triangle are

given by Pythagoras theorem.

Part A: ΔABC is similar to ΔADC

Part B: ΔABC and ΔADC are similar according AA similarity postulate

Part C: DA = 6

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

∠ADC = 90°, ∠DAC = 90° - ∠C

∴ ΔABC is similar to ΔADC by Angle-Angle, AA, Similarity Postulate

Part B: The triangles are similar according to AA similarity postulate,

because two angles in one triangle are equal to two angles in the other

triangle and therefore, by subtraction property of equality, the third angle

in both triangles are also equal.

Part C: The length of DB = 9

The length of DC = 4

Required: Length of segment DA

In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

∠DAC ≅ ∠B by Congruent Parts of Congruent Triangles are Congruent

Therefore;

ΔABD ~ ΔADC by AA similarity, which gives;

$\displaystyle \frac{\overline{DA}}{\overline{DC}} = \frac{\overline{BD}}{\overline{DA}}$

$\overline{DA}^2$ = $\overline{DC} \times \overline{BD}$

Which gives;

$\overline{DA}^2$ = 4 × 9 = 36

$\overline{DA}$ = √(36) = 6

$\overline{DA}$ = 6

Learn more here:

brainly.com/question/2269451

3 0

2 years ago

Morgan works at a store that sells clothing accessories. The supply function

jarptica [38.1K]

Answer:

The number of supply of base balls is 22

Step-by-step explanation:

Given

P = Q - 4

Price = $18

Required

Number of supply

The relationship between price and quantity is given to be P = Q - 4 where price is represented by P and Q represents the quantity.

To get the quantity supply when price is $18, all you need to do is to substitute 18 for P in the above equation;

Thus, giving:

18 = Q - 4

Make Q the subject of formula

Q = 18 + 4

Q = 22 quantities

Hence, the number of supply of base balls is 22

6 0

3 years ago

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Please help I’m confused.

Ede4ka [16]

Answer:

What is the most common month? That is the answer

Step-by-step explanation:

6 0

3 years ago

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In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ?x - 49

shutvik [7]

We are asked to find unknown or the missing number to complete the polynomial given in the problem which is x² + ?x -49. First, let us equate the number to be equal to zero such as it would become x² + ?x - 49 = 0. Next, we need to find the factors such that it would produce a difference of squares and these two factors are a = +7 and b = -7. Hence, the complete solution is shown below:
(x + 7) (x-7) = 0
perform distribution and multiplication of terms such as shown below:
x² + 7x - 7x - 49 = 0
Combine the same term such as we can either add or subtract +7x to -7x and the result will be equal to 0x.
x² + 0x - 49 = 0

Therefore, the missing number is 0. The answer is 0 which will result to x² +0x - 49.

4 0

3 years ago

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