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3 years ago

Factor the expression. 4x^2 +31x+21

Mathematics

1 answer:

bekas [8.4K]3 years ago

5 0

Step-by-step explanation:

$\sf \: 4 {x}^{2} + 31x + 21$

$\sf \: 4 {x}^{2 + } 28x + 3x + 21$

$\sf \: 4x(x + 7) \: 3(x + 7)$

$\sf \: (4x + 3)(x + 7)$

Hope It's Helps^^

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Given circle Q with a measure of SR=120° and a radius of 9 feet, as shown below.

Pie

Answer:

18.85 feet

Step-by-step explanation:

Determine the arc length of SR

Arc length = θ/360 × 2πr

r = 9 feet

θ =120°

Arc length = 120/360 × 2 × π × 9

= 18.849555922 feet

Approximately = 18.85 feet

Therefore, the arc length of SR = 18.85 feet

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3 years ago

What is the image of the point (-6,-3) after a rotation of 180^{\circ}180 ∘ counterclockwise about the origin?

babunello [35]

Answer:

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Step-by-step explanation:

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3 years ago

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Help me in math tasks please

Ivan

Answer:

1. 3/5 c

2. 7 c

3. 2/5 b

4. $3.24 c

5. -3.2 b

Step-by-step explanation:

2/5 + 1/5 = 3/5

a negative + a negative = a positive

2+5 = 7

terminating means the decimal ends. When u divide a & c they keep on going but 2/5 ends

divide 16.8 by 5.19 = 3.23 round up so 3.24

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4 years ago

Help quick anyone know this

Arada [10]

Answer:

See step by step explantation

Step-by-step explanation:

Step 1. given

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3 years ago

A quadrilateral has vertices at A(–5, 5), B(1, 8), C(4, 2), D(–2, –2). Use slope to determine if the quadrilateral is a rectangl

lianna [129]

With the properties of rectangle in mind we must perform two verification. Verify to see if opposite sides are parallel and adjacent sides are perpendicular.

We need to determine the slope of each side, using the formula,

$m=\frac{y_2-y_1}{x_2-x_1 }$

Slope of AB

$m_{AB}=\frac{8-5}{1--5}$

$\Rightarrow m_{AB}=\frac{8-5}{1+5}$

$\Rightarrow m_{AB}=\frac{3}{6}$

$\Rightarrow m_{AB}=\frac{1}{2}$

Slope of BC

$m_{BC}=\frac{2-8}{4-1}$

$\Rightarrow m_{BC}=\frac{-6}{3}$

$\Rightarrow m_{BC}=-2$

Slope of CD

$m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-2-2}{-2-4}$

$\Rightarrow m_{CD}=\frac{-4}{-6}$

$\Rightarrow m_{CD}=\frac{2}{3}$

Slope of AD

$m_{AD}=\frac{-2-5}{-2--5}$

$\Rightarrow m_{AD}=\frac{-2-5}{-2+5}$

$\Rightarrow m_{AD}=\frac{-7}{3}$

Verify Parallel sides

If the quadrilateral is a rectangle, then opposite sides should have the same slope. But

$m_{AD} = \frac{-7}{3} \neq m_{BC}=-2$

$m_{AB}=\frac{1}{2} \neq m_{CD}=\frac{2}{3}$

Verify Perpendicularity

And also the product of slopes of all sides with a common vertex should be -1. But

$m_{AB} \times m_{BC}=\frac{1}{2} \times -2=-1$

$m_{AB} \times m_{AD}=\frac{1}{2} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{AD}=\frac{2}{3} \times -\frac{7}{3} \neq -1$

$\Rightarrow m_{CD} \times m_{BC}=\frac{2}{3} \times -2 \neq -1$

Since the quadrilateral fails to satisfy all these conditions, the quadrilateral is not a rectangle

6 0

3 years ago

Factor the expression. 4x^2 +31x+21​

Factor the expression. 4x^2 +31x+21