which equation represents a line perpendicular to the given line x-4y=7

Answer:

A. ∆ABD ~ ∆CDE

B. x ≈ 5.3

Step-by-step explanation:

A. The Acute Angle Similarity Theorem states that when an acute angle in one right triangle is congruent to a corresponding acute angle in another, both right triangles are said to be similar to each other.

<B ≅ <D (both are right angles)

<A ≅ C,

Therefore, ∆ABD ~ ∆CDE

B. Since ∆ABD ~ ∆CDE, corresponding sides would be proportional to each other. This means that:

DE/BD = CD/AB

Substitute:

6/8 = 4/x

Cross multiply

6*x = 4*8

6x = 32

6x/6 = 32/6

x ≈ 5.3 (nearest tenth)

The slope of the graph is equivalent to 6 units.

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the graph showing the amount of water in the tank after the several minutes of it being turned off.

We can write the slope of the graph as -

m = (16 - 10)/(2 - 1)

m = 6

Therefore, the slope of the graph is equivalent to 6 units.

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Answer:

Because the hypotenuse might not be a perfect square

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

7x+22=50

7x=50-22

7x = 28

x=4

The measure of angle is, 62°.

The sum of two or more angle is 90 degree then the angle is called the complementary angle.

We have to given that;

⇒ Supplement of an angle is 6 more than 4 times of its complement.

Now,

Let measure of an angle = x

So, By given condition, we can formulate;

The supplement of an angle = 180 - x

And, The complement an angle = 90 - x

Hence, We get;

⇒ (180 - x) = 6 + 4 (90 - x)

Solve for x as;

⇒ 180 - x = 6 + 360 - 4x

⇒ 4x - x = 366 - 180

⇒ 3x = 186

⇒ x = 62°

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No, Both will not have the same amount of comic books because they add the same number each month.

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

Adrian started with 12 comic books and buys 4 more each month.

Rory started with 8 comic books and buys 4 more each month.

let x be the number of books.

A(x) = 4x+12

Rory starts with 8 comic books and add 4 comic books each month.

R(x) = 4x+8

Hence, Both will not have the same amount of comic books because they add the same number each month. There will be 4 additional comic books for Adrian.

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Answer:

314

Step-by-step explanation:

the formula to get the area of a circle is [tex]\pi r^{2}[/tex]

pi=3.14 and r=10

do you get 3.14 x [tex]10^{2}[/tex]

3.14 x 100

314

Answer:

-3

Step-by-step explanation:

y = -3x + b

-7 = -3(-3) + b

-7 = 9 + b

-16 = b

y = -3x - 16

Answer:

12

Step-by-step explanation:

The requried inequality to determine the range of body temperature is given as 98.8 ≤ x ≤ 101.2.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
The normal body temperature for an adult horse is 100 degrees F, but it can vary by as much as 1.2 degrees.
Let x be the average temperature of the horse,
100 - 1.2 ≤ x ≤ 100 + 1.2

98.8 ≤ x ≤ 101.2

Thus, the requried inequality determines the range of body temperature is given as 98.8 ≤ x ≤ 101.2.

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Answer:

Step-by-step explanation:

m≥150

draw a solid dot (since it is greater than or equal to) starting at 150 and continue to the end of the number line.

Answer:

B. m is greater than or equal to 150

Step-by-step explanation:

if he has to drive at least 150, then he must drive 150 miles or more

Step-by-step explanation:

Yes because it consists of letters

Answer:

its really x+y−π that is an algebraic expression

Step-by-step explanation:

It depends on the definition, and ur age i guess but i think yes

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

a

Step-by-step explanation:

Answer:

B is the answer .look at the picture I sent.

The lowest ratio for 54 m in 2.5 hours will be:

= 54 / 2.5 is 21.6 : 1.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

This simply indicates that you're dividing the variable A by B. Let USA say for instance, the ratio will be 3/10 if A is 5

3 and B is 10.

In this case, the lowest ratio for 54 m in 2.5 hours will be:

= 54 / 2.5.

= 21.6 / 1

= 21.6:1

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Answer:

The slope of line r is -3/4

Step-by-step explanation:

First, let's find the slope of line q. We can find the slope by finding the change in y over change in x.

[tex]\displaystyle{m=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Therefore, substitute in:

[tex]\displaystyle{m=\dfrac{8-4}{6-3}}\\\\\displaystyle{m=\dfrac{4}{3}}[/tex]

Therefore, the slope of line q is 4/3. Since we want to find the slope of line r and we know by the given that line r is perpendicular to line q. By the definition of perpendicular line is [tex]\displaystyle{m_1m_2=-1}[/tex].

Let [tex]m_1[/tex] be slope of the line q which is 4/3. Therefore, substitute in and solve for [tex]m_2[/tex] (slope of line r)

[tex]\displaystyle{\dfrac{4}{3}m_2=-1}\\\\\displaystyle{4m_2=-3}\\\\\displaystyle{m_2=-\dfrac{3}{4}}[/tex]

Therefore, the slope of line r is -3/4

Answer:

-4.2

Step-by-step explanation:

your mom < 3 3 3 3 3 3 3

Answer:

y = 4

Step-by-step explanation:

The triangles are congruent.

8y = 6y + 8

2y = 8

y = 4

Answer:

x=-17.......................

Step-by-step explanation:

x+17=0

Answer:

english?

Step-by-step explanation:

Answer: Reflection over the x-axis

Step-by-step explanation: This graph represents the transformation of a reflection over the x-axis because each x-coordinate stays the same but each y-coordinate becomes the positive version of the original negative y-coordinates. ABC and A'B'C' are symmetrical with the line of symmetry being the x-axis.

Answer:

y ≤ [tex]\frac{1}{3}[/tex] x - 4

Step-by-step explanation:

the first step is to obtain the equation of the line.

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (3, - 3) ← 2 points on the line

m = [tex]\frac{-3-(-4)}{3-0}[/tex] = [tex]\frac{-3+4}{3}[/tex] = [tex]\frac{1}{3}[/tex]

the line crosses the y- axis at (0, - 4 ) ⇒ c = - 4

y = [tex]\frac{1}{3}[/tex] x - 4 ← equation of the line

----------------------------------------------

the shaded region below the line indicates the values that are less than y

the solid line indicates that y can equal the values on the line (≤ )

the solution is then

y ≤ [tex]\frac{1}{3}[/tex] x - 4

Factor -20 x-5 y, where x+y=4 and x+y=5. Our prime numbers become much, much harder to factor as we add a few extra digits.

When you factor in mathematics, you divide a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the division of an amount into its factors or divisors. The factorization of the integer 12, for instance, might be 3 times 4 or something similar. [tex]N = X^{a} * Y^{b} * Z^{c}[/tex] is used to represent the general factorization formula. In this instance, X, Y, and Z stand for a number's factors. Get a polynomial's GCF (Greatest Common Factor).

GCFs of polynomials should be factored out. By grouping the terms, factor a polynomial with four terms. trinomial of the form, and factor it. The size of our goods and the size of the data we use to check mean that each check takes an average amount of time longer. It is clear from this that factoring the product becomes significantly more difficult when we add a few digits to our prime integers.

Therefore the correct answer is option A)5(4x+y)

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The third side of the triangle will be less than 35.

A polygon with three angles, sides and angles is called a triangle.

Given that, Two sides of a triangle have lengths 15 and 20. The length of the third side can be any number greater than A and less than

We know that, triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

Therefore, length of the third side < 15+20 < 35

Hence, the third side of the triangle will be less than 35.

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Answer:

125

Step-by-step explanation:

The height of the right circular cylinder shown below is 12 feet and its base has a radius of 3 feet.

Answer:

yes

Step-by-step explanation:

The side length of each square represent for the rectangle to correctly represent (0, 3) · (0, 5) is 1 units.

A rectangle represented by (0, 3) · (0, 5) has length 3 units and breadth 5 units. To represent that rectangles with minimum number of squares of same size, we calculate the highest common factor.

Highest Common Factor is a mathematical concept used to find the greatest number that divides two or more numbers without leaving a remainder. It is also known as the greatest common divisor (GCD) or the greatest common factor (GCF).

Highest common factor of 3 and 5 is 1 as both are prime numbers. So squares with side length 1 unit best represent the rectangle to correctly represent (0, 3) · (0, 5).

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Answer:

The height of Mrs. Marigold's roof is 10 feet.

Step-by-step explanation:

Given that,

Base of the given triangle = 48 ft

Hypotenuse = 26 ft

Half of the base = 24 ft

Using Pythagoras theorem,

[tex]h=\sqrt{26^2-24^2}\\\\h=10\ ft[/tex]

So, the height of Mrs. Marigold's roof is 10 feet.

Answer:

Step-by-step explanation:

→ [tex]\frac{(7x^2-40x+52)}{(x^2-6x+9)}[/tex]

→ [tex]\frac{7x^2-40x+52}{x^2-2.3x+(3)^2}[/tex]

→  [tex]\frac{7x^2-40x+52}{(x-3)^2}[/tex]

So, your answer is C

[tex]----------[/tex]

hope it helps...

have a great day!!

The partial fractions is to start with the simplified, and "decompose" the expression into initial polynomial fractions, and the calculation is as follows:

[tex]\to \frac{7x^2-40x+52}{x^2-6x+9}\\\\\to \frac{7x^2-40x+52}{x^2-(3x-3x)+9}\\\\\to \frac{7x^2-40x+52}{x^2-3x+3x+9}\\\\\to \frac{7x^2-40x+52}{x(x-3)+3(x+3)}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to \frac{7x^2-40x+52}{(x-3)^2}\\\\\to A+ \frac{B}{(x-3)}+\frac{C}{(x-3)^2}\\\\[/tex]

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Answer:

3

Step-by-step explanation:

If I remember how to solve these questions correctly, if there is a triangle that is 45 degrees, the hypotenuse will be times the square root of 2 of the other two sides (which are equal to eachother). Hope this helped!

Answer:

[tex] \cos(45 \degree) = \frac{3 \sqrt{2} }{x} \\ x = \frac{3 \sqrt{2} }{ \cos(45 \degree) } \\ x = 6[/tex]

Answer:

x = √35

Step-by-step explanation:

Please see attached photo for explanation.

We'll begin calculating the value of y. This can be obtained as follow:

10² = y² + 4²

100 = y² + 16

Collect like terms

100 – 16 = y²

84 = y²

Take the square root of both side

y = √84

Finally, we shall determine the value of x. This can be obtained as follow:

y² = x² + 7²

(√84)² = x² + 49

84 = x² + 49

Collect like terms

84 – 49 = x²

35 = x²

Take the square root of both side

x = √35

Answer:

√35

Step-by-step explanation:

10² = y² + 4²

100 = y² + 16

100 – 16 = y²

84 = y²

y = √84

y² = x² + 7²

(√84)² = x² + 49

84 = x² + 49

84 – 49 = x²

35 = x²

x = √35